{"id":27085,"date":"2023-07-06T08:59:06","date_gmt":"2023-07-06T08:59:06","guid":{"rendered":"https:\/\/umschool.net\/library\/?p=27085"},"modified":"2024-03-19T17:40:18","modified_gmt":"2024-03-19T17:40:18","slug":"formuly-privedeniya","status":"publish","type":"post","link":"https:\/\/umschool.net\/library\/matematika\/formuly-privedeniya\/","title":{"rendered":"\u0424\u043e\u0440\u043c\u0443\u043b\u044b \u043f\u0440\u0438\u0432\u0435\u0434\u0435\u043d\u0438\u044f"},"content":{"rendered":"\n<h3 class=\"has-text-align-center wp-block-heading\"><strong>\u041d\u0430 \u044d\u0442\u043e\u0439 \u0441\u0442\u0440\u0430\u043d\u0438\u0446\u0435 \u0432\u044b \u0443\u0437\u043d\u0430\u0435\u0442\u0435<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\"><li>\u041a\u0442\u043e \u0438 \u043a\u043e\u0433\u0434\u0430 \u0432\u044b\u0432\u0435\u043b \u0444\u043e\u0440\u043c\u0443\u043b\u044b \u043f\u0440\u0438\u0432\u0435\u0434\u0435\u043d\u0438\u044f?<\/li><li>\u041a\u0430\u043a \u043b\u043e\u0448\u0430\u0434\u044c \u043f\u043e\u043c\u043e\u0433\u0430\u0435\u0442 \u043f\u0440\u0438\u0432\u0435\u0434\u0435\u043d\u0438\u044f\u043c?&nbsp;<\/li><li>\u041a\u0430\u043a\u0438\u0435 \u0437\u043d\u0430\u043a\u0438 \u0438\u043c\u0435\u044e\u0442 \u0442\u0440\u0438\u0433\u043e\u043d\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u0438\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0432 \u0447\u0435\u0442\u0432\u0435\u0440\u0442\u044f\u0445?&nbsp;<\/li><\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">\u041b\u044e\u0431\u0438\u0442\u0435 \u043b\u0438 \u0432\u044b \u043a\u0432\u0435\u0441\u0442\u044b, \u0437\u0430\u0433\u0430\u0434\u043a\u0438 \u0438 \u0441\u0435\u043a\u0440\u0435\u0442\u043d\u044b\u0435 \u043f\u0430\u0440\u043e\u043b\u0438? \u0410 \u0438\u0433\u0440\u044b? \u041d\u0430\u0434\u0435\u0435\u043c\u0441\u044f, \u0447\u0442\u043e \u043e\u0442\u0432\u0435\u0442 \u0443\u0442\u0432\u0435\u0440\u0434\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0439, \u0442\u0430\u043a \u043a\u0430\u043a \u043c\u044b \u043f\u0440\u0438\u0433\u043e\u0442\u043e\u0432\u0438\u043b\u0438 \u0434\u043b\u044f \u0432\u0430\u0441 \u043e\u0447\u0435\u043d\u044c \u043d\u0435\u043e\u0431\u044b\u0447\u043d\u0443\u044e \u0441\u0442\u0430\u0442\u044c\u044e. \u0421 \u043d\u0435\u0439 \u0432\u044b \u043d\u0435 \u0442\u043e\u043b\u044c\u043a\u043e \u043e\u0441\u0432\u043e\u0438\u0442\u0435 \u043d\u043e\u0432\u044b\u0435 \u0441\u043f\u043e\u0441\u043e\u0431\u044b \u0440\u0435\u0448\u0435\u043d\u0438\u044f \u0437\u0430\u0434\u0430\u043d\u0438\u0439 \u0442\u0440\u0438\u0433\u043e\u043d\u043e\u043c\u0435\u0442\u0440\u0438\u0438, \u043d\u043e \u0438 \u043d\u0435\u043c\u043d\u043e\u0433\u043e \u043e\u0442\u0434\u043e\u0445\u043d\u0435\u0442\u0435 \u043e\u0442 \u043e\u0434\u043d\u043e\u043e\u0431\u0440\u0430\u0437\u043d\u044b\u0445 \u0443\u0447\u0435\u0431\u043d\u044b\u0445 \u0431\u0443\u0434\u043d\u0435\u0439.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"\/library\/wp-content\/uploads\/2023\/07\/222-1-960x1024.gif\" alt=\"\" class=\"wp-image-27091\" width=\"240\" height=\"256\" srcset=\"\/library\/wp-content\/uploads\/2023\/07\/222-1-960x1024.gif 960w, \/library\/wp-content\/uploads\/2023\/07\/222-1-281x300.gif 281w, \/library\/wp-content\/uploads\/2023\/07\/222-1-768x819.gif 768w, \/library\/wp-content\/uploads\/2023\/07\/222-1-1440x1536.gif 1440w\" sizes=\"auto, (max-width: 240px) 100vw, 240px\" \/><\/figure><\/div>\n\n\n\n<h2 class=\"has-text-align-center wp-block-heading\"><strong>\u0413\u043b\u0430\u0432\u0430 1. \u0417\u043d\u0430\u043a\u043e\u043c\u0441\u0442\u0432\u043e<\/strong><\/h2>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"\/library\/wp-content\/uploads\/2023\/07\/image-12-1024x616.png\" alt=\"\" class=\"wp-image-27092\" width=\"512\" height=\"308\" srcset=\"\/library\/wp-content\/uploads\/2023\/07\/image-12-1024x616.png 1024w, \/library\/wp-content\/uploads\/2023\/07\/image-12-300x180.png 300w, \/library\/wp-content\/uploads\/2023\/07\/image-12-768x462.png 768w, \/library\/wp-content\/uploads\/2023\/07\/image-12.png 1315w\" sizes=\"auto, (max-width: 512px) 100vw, 512px\" \/><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u2013 \u0422\u044b \u0441\u043d\u0438\u043c\u0430\u0435\u0448\u044c?<\/em><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u2013 \u0421\u0435\u0439\u0447\u0430\u0441, \u0442\u043e\u043b\u044c\u043a\u043e \u043d\u0430\u0441\u0442\u0440\u043e\u044e \u043a\u0430\u043c\u0435\u0440\u0443.&nbsp;<\/em><\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"\/library\/wp-content\/uploads\/2023\/07\/image-13.png\" alt=\"\" class=\"wp-image-27093\" width=\"350\" height=\"367\" srcset=\"\/library\/wp-content\/uploads\/2023\/07\/image-13.png 700w, \/library\/wp-content\/uploads\/2023\/07\/image-13-286x300.png 286w\" sizes=\"auto, (max-width: 350px) 100vw, 350px\" \/><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u2013 \u041c\u044b \u043d\u0430\u0448\u043b\u0438 \u0441\u0442\u0430\u0440\u044b\u0439 \u0437\u0430\u0431\u0440\u043e\u0448\u0435\u043d\u043d\u044b\u0439 \u0437\u0430\u043c\u043e\u043a! \u0418 \u0441\u0435\u0433\u043e\u0434\u043d\u044f \u043c\u044b \u043f\u0440\u043e\u0432\u0435\u0440\u0438\u043c, \u0447\u0442\u043e \u0442\u0430\u043c \u0432\u043d\u0443\u0442\u0440\u0438.<\/em><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u2013 \u0411\u0435\u0437\u0443\u043c\u043d\u043e \u0441\u0442\u0440\u0430\u0448\u043d\u043e!<\/em><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u2013 \u041d\u0435\u0443\u0436\u0435\u043b\u0438 \u0442\u044b \u0432\u0435\u0440\u0438\u0448\u044c \u0432 \u043f\u0440\u0438\u0432\u0438\u0434\u0435\u043d\u0438\u0439? \u041f\u0440\u043e\u0441\u0442\u043e \u043f\u043e\u0431\u0440\u043e\u0434\u0438\u043c \u043f\u043e \u043a\u043e\u043c\u043d\u0430\u0442\u0430\u043c \u0438 \u0447\u0443\u0442\u044c-\u0447\u0443\u0442\u044c \u043f\u043e\u043f\u0443\u0433\u0430\u0435\u043c\u0441\u044f. \u0412\u043e\u0441\u043f\u0440\u0438\u043d\u0438\u043c\u0430\u0439 \u044d\u0442\u043e \u043a\u0430\u043a \u0441\u0442\u0440\u0430\u0448\u043d\u044b\u0439 \u043a\u0432\u0435\u0441\u0442! \u0412\u043f\u0435\u0440\u0435\u0434!<\/em><\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"\/library\/wp-content\/uploads\/2023\/07\/image-14.png\" alt=\"\" class=\"wp-image-27094\" width=\"363\" height=\"364\" srcset=\"\/library\/wp-content\/uploads\/2023\/07\/image-14.png 726w, \/library\/wp-content\/uploads\/2023\/07\/image-14-300x300.png 300w, \/library\/wp-content\/uploads\/2023\/07\/image-14-150x150.png 150w\" sizes=\"auto, (max-width: 363px) 100vw, 363px\" \/><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u2013 \u0424\u0443\u0445! \u0415\u043b\u0435-\u0435\u043b\u0435 \u043e\u0442\u043a\u0440\u044b\u043b\u0438 \u0434\u0432\u0435\u0440\u0438!<\/em><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u2013 \u0418 \u043f\u0440\u0430\u0432\u0434\u0430, \u043a\u0442\u043e \u0432\u043e\u043e\u0431\u0449\u0435 \u0434\u043e\u0434\u0443\u043c\u0430\u043b\u0441\u044f \u0438\u0445 \u0437\u0430\u043a\u043e\u043b\u043e\u0442\u0438\u0442\u044c \u043d\u0430 \u0441\u0442\u043e\u043b\u044c\u043a\u043e \u0434\u043e\u0441\u043e\u043a?&nbsp;<\/em><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u2013 \u041c\u043e\u0436\u0435\u0442, \u0431\u044b\u043b\u043e \u0447\u0442\u043e \u043f\u0440\u044f\u0442\u0430\u0442\u044c? \u0418\u043b\u0438 \u043a\u043e\u0433\u043e \u0443\u0434\u0435\u0440\u0436\u0430\u0442\u044c \u0432\u043d\u0443\u0442\u0440\u0438?<\/em><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u2013 \u041d\u0435 \u043d\u0430\u0433\u043d\u0435\u0442\u0430\u0439 \u0430\u0442\u043c\u043e\u0441\u0444\u0435\u0440\u0443!&nbsp;<\/em><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u2013 \u041d\u0435 \u0441\u043b\u044b\u0448\u0430\u043b \u043f\u0435\u0441\u043d\u044e \u00ab\u041f\u0440\u043e\u043a\u043b\u044f\u0442\u044b\u0439 \u0441\u0442\u0430\u0440\u044b\u0439 \u0434\u043e\u043c\u00bb? \u041c\u043e\u0436\u0435\u0442, \u0443\u0439\u0434\u0435\u043c, \u043f\u043e\u043a\u0430 \u043d\u0435 \u043f\u043e\u0432\u0442\u043e\u0440\u0438\u043b\u0438 \u0435\u0435 \u0441\u044e\u0436\u0435\u0442?<\/em><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u2013 \u0410 \u0442\u044b \u043f\u043e\u043f\u0440\u043e\u0431\u0443\u0439 \u043c\u0435\u043d\u044c\u0448\u0435 \u0441\u0442\u0440\u0430\u0448\u043d\u044b\u0445 \u043f\u0435\u0441\u0435\u043d \u0441\u043b\u0443\u0448\u0430\u0442\u044c!<\/em><\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"\/library\/wp-content\/uploads\/2023\/07\/image-16.png\" alt=\"\" class=\"wp-image-27096\" width=\"246\" height=\"373\" srcset=\"\/library\/wp-content\/uploads\/2023\/07\/image-16.png 491w, \/library\/wp-content\/uploads\/2023\/07\/image-16-197x300.png 197w\" sizes=\"auto, (max-width: 246px) 100vw, 246px\" \/><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u2013 \u0422\u044b \u0441\u043b\u044b\u0448\u0430\u043b \u044d\u0442\u043e?..<\/em><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u2013 \u0427\u0442\u043e \u0438\u043c\u0435\u043d\u043d\u043e? \u042d\u0442\u043e \u0442\u044b \u0438 \u0448\u0443\u0440\u0448\u0438\u0448\u044c!<\/em><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u2013 \u042d\u0442\u043e \u043d\u0435 \u044f! \u0417\u0430\u043c\u0440\u0438! \u041f\u043e\u0441\u043b\u0443\u0448\u0430\u0439!<\/em><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u2013 \u0425\u0432\u0430\u0442\u0438\u0442 \u043c\u0435\u043d\u044f \u0440\u0430\u0437\u044b\u0433\u0440\u044b\u0432\u0430\u0442\u044c!<\/em><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u2013 \u2026<\/em><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u2013 <\/em><strong><em>\u041a\u0442\u043e \u0432\u044b \u0438 \u0447\u0442\u043e \u0432\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u0432 \u043c\u043e\u0435\u043c \u0437\u0430\u043c\u043a\u0435?!<\/em><\/strong><\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"\/library\/wp-content\/uploads\/2023\/07\/image-17.png\" alt=\"\" class=\"wp-image-27097\" width=\"242\" height=\"369\" srcset=\"\/library\/wp-content\/uploads\/2023\/07\/image-17.png 483w, \/library\/wp-content\/uploads\/2023\/07\/image-17-196x300.png 196w\" sizes=\"auto, (max-width: 242px) 100vw, 242px\" \/><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u2013 \u0422\u044b \u044d\u0442\u043e \u0432\u0438\u0434\u0438\u0448\u044c?..<\/em><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u2013 \u041a\u043e\u043d\u0435\u0447\u043d\u043e, \u0432\u0438\u0436\u0443\u2026<\/em><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u2013 <\/em><strong><em>\u041a\u0442\u043e \u0432\u044b?<\/em><\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u2013 \u041c\u044b\u2026 \u043c\u044b \u043d\u0435 \u0445\u043e\u0442\u0435\u043b\u0438 \u0432\u0430\u0441 \u043f\u043e\u0442\u0440\u0435\u0432\u043e\u0436\u0438\u0442\u044c, \u0443\u0432\u0430\u0436\u0430\u0435\u043c\u044b\u0439\u2026 \u0430\u2026 \u0430 \u043a\u0442-\u0442-\u0442\u043e \u0432\u044b?<\/em><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u2013 <\/em><strong><em>\u041c\u043e\u0435 \u0438\u043c\u044f \u0441\u043b\u0438\u0448\u043a\u043e\u043c \u0434\u0440\u0435\u0432\u043d\u0435\u0435, \u0432\u044b \u043d\u0435 \u0437\u0430\u043f\u043e\u043c\u043d\u0438\u0442\u0435. \u041c\u043e\u0436\u0435\u0442\u0435 \u043e\u0431\u0440\u0430\u0449\u0430\u0442\u044c\u0441\u044f \u043f\u0440\u043e\u0441\u0442\u043e \u0424\u043e\u0440\u043c\u0443\u043b\u0430 \u041f\u0440\u0438\u0432\u0435\u0434\u0435\u043d\u0438\u044f.&nbsp;<\/em><\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u2013<\/em><strong><em> <\/em><\/strong><em>\u041a\u0430\u043a \u0432 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0435, \u0447\u0442\u043e \u043b\u0438?<\/em><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u2013 \u0426\u044b\u0446! \u041d\u0435 \u0437\u043b\u0438 \u0435\u0433\u043e! \u0418\u043b\u0438 \u0435\u0435\u2026<\/em><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u2013 <\/em><strong><em>\u042f \u0437\u0430\u0442\u043e\u0447\u0435\u043d \u0442\u0443\u0442 \u0441\u043b\u0438\u0448\u043a\u043e\u043c \u0434\u0430\u0432\u043d\u043e, \u0438 \u0432\u044b \u043f\u0435\u0440\u0432\u044b\u0435, \u043a\u0442\u043e \u0434\u043e\u0433\u0430\u0434\u0430\u043b\u0441\u044f \u043f\u043e\u0442\u0440\u0435\u0432\u043e\u0436\u0438\u0442\u044c \u043c\u043e\u0439 \u043f\u043e\u043a\u043e\u0439!<\/em><\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u2013<\/em><strong><em> <\/em><\/strong><em>\u0410 \u043a\u0430\u043a \u0434\u0430\u0432\u043d\u043e?<\/em><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u2013 <\/em><strong><em>\u0423\u0436\u0435 \u043f\u043e\u0447\u0442\u0438 \u0442\u0440\u0438 \u0432\u0435\u043a\u0430.<\/em><\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td class=\"has-text-align-left\" data-align=\"left\"><strong>\u041a\u0442\u043e \u0438 \u043a\u043e\u0433\u0434\u0430 \u0432\u044b\u0432\u0435\u043b \u0444\u043e\u0440\u043c\u0443\u043b\u044b \u043f\u0440\u0438\u0432\u0435\u0434\u0435\u043d\u0438\u044f?<\/strong><br><br>\u0412 XVIII \u0432\u0435\u043a\u0435 \u0447\u043b\u0435\u043d \u041f\u0435\u0442\u0435\u0440\u0431\u0443\u0440\u0433\u0441\u043a\u043e\u0439 \u0430\u043a\u0430\u0434\u0435\u043c\u0438\u0438 \u043d\u0430\u0443\u043a \u041b\u0435\u043e\u043d\u0430\u0440\u0434 \u042d\u0439\u043b\u0435\u0440 \u043f\u0440\u0438\u0434\u0430\u043b \u0442\u0440\u0438\u0433\u043e\u043d\u043e\u043c\u0435\u0442\u0440\u0438\u0438 \u0441\u043e\u0432\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0439 \u0432\u0438\u0434. \u041a \u0435\u0433\u043e \u0434\u043e\u0441\u0442\u0438\u0436\u0435\u043d\u0438\u044f\u043c \u0442\u0430\u043a\u0436\u0435 \u043c\u043e\u0436\u043d\u043e \u043e\u0442\u043d\u0435\u0441\u0442\u0438 \u0432\u044b\u0432\u043e\u0434 \u0444\u043e\u0440\u043c\u0443\u043b \u043f\u0440\u0438\u0432\u0435\u0434\u0435\u043d\u0438\u044f.<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u2013<\/em><strong><em> <\/em><\/strong><em>\u041f\u043e\u0447\u0435\u043c\u0443 \u0432\u0430\u0441 \u0442\u0443\u0442 \u0437\u0430\u0442\u043e\u0447\u0438\u043b\u0438?<\/em><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u2013 <\/em><strong><em>\u042f \u0441\u043b\u0438\u0448\u043a\u043e\u043c \u0432\u0430\u0436\u0435\u043d \u0434\u043b\u044f \u0442\u0440\u0438\u0433\u043e\u043d\u043e\u043c\u0435\u0442\u0440\u0438\u0438. \u0411\u0435\u0437 \u0424\u043e\u0440\u043c\u0443\u043b \u041f\u0440\u0438\u0432\u0435\u0434\u0435\u043d\u0438\u044f \u0431\u0443\u0434\u0435\u0442 \u043f\u043e\u0447\u0442\u0438 \u043d\u0435\u0432\u043e\u0437\u043c\u043e\u0436\u043d\u043e \u0440\u0435\u0448\u0430\u0442\u044c \u0442\u0440\u0438\u0433\u043e\u043d\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u0438\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u0438 \u043d\u0435\u0440\u0430\u0432\u0435\u043d\u0441\u0442\u0432\u0430.&nbsp;<\/em><\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u2013 \u041f\u043e\u043b\u0443\u0447\u0430\u0435\u0442\u0441\u044f, \u0432\u044b \u043e\u0431\u0435\u0440\u0435\u0433\u0430\u0435\u0442\u0435 \u043a\u0430\u043a\u043e\u0439-\u0442\u043e \u0441\u0435\u043a\u0440\u0435\u0442?<\/em><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u2013 <\/em><strong><em>\u0414\u0430. \u0418 \u0441\u0435\u0433\u043e\u0434\u043d\u044f \u044f \u0440\u0430\u0441\u0441\u043a\u0430\u0436\u0443 \u0432\u0430\u043c, \u043a\u0430\u043a \u0440\u0435\u0448\u0430\u0442\u044c \u0424\u043e\u0440\u043c\u0443\u043b\u044b \u041f\u0440\u0438\u0432\u0435\u0434\u0435\u043d\u0438\u044f \u0431\u0435\u0437 \u0437\u0430\u043f\u043e\u043c\u0438\u043d\u0430\u043d\u0438\u044f \u043c\u043d\u043e\u0436\u0435\u0441\u0442\u0432\u0430 \u0434\u0440\u0443\u0433\u0438\u0445 \u0444\u043e\u0440\u043c\u0443\u043b. \u0418\u0434\u0438\u0442\u0435 \u0437\u0430 \u043c\u043d\u043e\u0439!<\/em><\/strong><\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"\/library\/wp-content\/uploads\/2023\/07\/image-18.png\" alt=\"\" class=\"wp-image-27098\" width=\"255\" height=\"369\" srcset=\"\/library\/wp-content\/uploads\/2023\/07\/image-18.png 509w, \/library\/wp-content\/uploads\/2023\/07\/image-18-207x300.png 207w\" sizes=\"auto, (max-width: 255px) 100vw, 255px\" \/><\/figure><\/div>\n\n\n\n<h2 class=\"has-text-align-center wp-block-heading\"><strong>\u0413\u043b\u0430\u0432\u0430 2. \u041e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435&nbsp;<\/strong><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><strong><em>\u2013 \u041c\u044b \u0432 \u0441\u0430\u043c\u043e\u043c \u0441\u0435\u0440\u0434\u0446\u0435 \u043c\u043e\u0435\u0433\u043e \u0437\u0430\u043c\u043a\u0430 \u2013 \u0432 \u0431\u0438\u0431\u043b\u0438\u043e\u0442\u0435\u043a\u0435. \u041d\u0430\u0447\u043d\u0435\u043c \u0441\u2026<\/em><\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u2013<\/em><strong><em> <\/em><\/strong><em>\u0410 \u0447\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u0424\u043e\u0440\u043c\u0443\u043b\u0430 \u041f\u0440\u0438\u0432\u0435\u0434\u0435\u043d\u0438\u044f?<\/em><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u2013 <\/em><strong><em>\u041d\u0435 \u043f\u0435\u0440\u0435\u0431\u0438\u0432\u0430\u0439! \u0424\u043e\u0440\u043c\u0443\u043b\u0430 \u041f\u0440\u0438\u0432\u0435\u0434\u0435\u043d\u0438\u044f \u2013 \u044d\u0442\u043e <a href=\"https:\/\/umschool.net\/library\/matematika\/formuly-privedeniya\/#\u0442\u0435\u0440\u043c\u0438\u043d\u044b\" target=\"_blank\" rel=\"noreferrer noopener\">\u0442\u0440\u0438\u0433\u043e\u043d\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f<\/a>, \u0432 \u043a\u043e\u0442\u043e\u0440\u043e\u0439 \u0443\u0433\u043e\u043b \u043e\u0442\u043b\u043e\u0436\u0435\u043d \u043e\u0442 \u043e\u0434\u043d\u043e\u0439 \u0438\u0437 \u043e\u0441\u0435\u0439, \u043d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, <\/em><\/strong>\\(sin(\\frac{\\pi}{2}+x)\\)<strong><em> \u0438\u043b\u0438 <\/em><\/strong>\\(cos(\\pi-x)\\).<strong><em>&nbsp;<\/em><\/strong><\/p>\n\n\n\n<p class=\"has-background wp-block-paragraph\" style=\"background-color:#f0e5ff\"><strong>\u0424\u043e\u0440\u043c\u0443\u043b\u044b \u043f\u0440\u0438\u0432\u0435\u0434\u0435\u043d\u0438\u044f \u2013 <\/strong>\u0444\u043e\u0440\u043c\u0443\u043b\u044b, \u043f\u043e\u0437\u0432\u043e\u043b\u044f\u044e\u0449\u0438\u0435 \u043f\u0440\u0438\u0432\u0435\u0441\u0442\u0438 <a href=\"https:\/\/umschool.net\/library\/matematika\/formuly-privedeniya\/#\u0442\u0435\u0440\u043c\u0438\u043d\u044b\" target=\"_blank\" rel=\"noreferrer noopener\">\u0430\u0440\u0433\u0443\u043c\u0435\u043d\u0442<\/a>, \u0432 \u043a\u043e\u0442\u043e\u0440\u043e\u043c \u0443\u0433\u043e\u043b \u043e\u0442\u043b\u043e\u0436\u0435\u043d \u043e\u0442 \u043e\u0434\u043d\u043e\u0439 \u0438\u0437 \u043e\u0441\u0435\u0439 \u043d\u0430 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438, \u043a \u043e\u0431\u044b\u0447\u043d\u043e\u043c\u0443 \u0430\u0440\u0433\u0443\u043c\u0435\u043d\u0442\u0443 \u0441 \u0443\u0433\u043b\u043e\u043c.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0424\u043e\u0440\u043c\u0443\u043b\u044b \u043f\u0440\u0438\u0432\u0435\u0434\u0435\u043d\u0438\u044f \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u044e\u0442\u0441\u044f \u0434\u043b\u044f \u0443\u043f\u0440\u043e\u0449\u0435\u043d\u0438\u044f \u0432\u044b\u0447\u0438\u0441\u043b\u0435\u043d\u0438\u0439. \u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \u0441 \u0438\u0445 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u043c\u043e\u0436\u043d\u043e \u043f\u0440\u0435\u0432\u0440\u0430\u0442\u0438\u0442\u044c \\(sin(\\frac{\\pi}{2}+x)\\)<strong><em> <\/em><\/strong>\u0432 \\(cos x\\).&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u2013 <strong><em>\u0422\u0430\u043a \u0432\u043e\u0442. \u0421 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u0424\u043e\u0440\u043c\u0443\u043b \u041f\u0440\u0438\u0432\u0435\u0434\u0435\u043d\u0438\u044f \u043c\u043e\u0436\u043d\u043e \u043f\u0435\u0440\u0435\u0439\u0442\u0438 \u043a \u043d\u043e\u0432\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438. \u0414\u043b\u044f \u044d\u0442\u043e\u0433\u043e \u043f\u0435\u0440\u0432\u044b\u043c \u0434\u0435\u043b\u043e\u043c \u043d\u0443\u0436\u043d\u043e \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c, \u0437\u0430\u043c\u0435\u043d\u0438\u0442\u0441\u044f \u043b\u0438 \u0442\u0440\u0438\u0433\u043e\u043d\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u043d\u0430 \u043f\u0440\u043e\u0442\u0438\u0432\u043e\u043f\u043e\u043b\u043e\u0436\u043d\u0443\u044e.<\/em><\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u2013<\/em><strong><em> <\/em><\/strong><em>\u0422\u043e \u0435\u0441\u0442\u044c \u0441\u0438\u043d\u0443\u0441 \u043d\u0430 \u043a\u043e\u0441\u0438\u043d\u0443\u0441 \u0438\u043b\u0438 \u0442\u0430\u043d\u0433\u0435\u043d\u0441 \u043d\u0430 \u043a\u043e\u0442\u0430\u043d\u0433\u0435\u043d\u0441?<\/em><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u2013 <\/em><strong><em>\u0410 \u0442\u0430\u043a\u0436\u0435 \u043a\u043e\u0441\u0438\u043d\u0443\u0441 \u043d\u0430 \u0441\u0438\u043d\u0443\u0441 \u0438\u043b\u0438 \u043a\u043e\u0442\u0430\u043d\u0433\u0435\u043d\u0441 \u043d\u0430 \u0442\u0430\u043d\u0433\u0435\u043d\u0441. \u0418\u043c\u0435\u043d\u043d\u043e \u0442\u0430\u043a. \u0414\u043b\u044f \u044d\u0442\u043e\u0433\u043e \u043d\u0430\u043c \u043f\u043e\u043d\u0430\u0434\u043e\u0431\u0438\u0442\u0441\u044f \u043c\u043e\u0439 \u043f\u043e\u043c\u043e\u0449\u043d\u0438\u043a. \u0421\u0435\u0439\u0447\u0430\u0441 \u043e\u043d \u0441\u044e\u0434\u0430 \u043f\u043e\u0434\u043e\u0439\u0434\u0435\u0442.&nbsp;<\/em><\/strong><\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"\/library\/wp-content\/uploads\/2023\/07\/image-19.png\" alt=\"\" class=\"wp-image-27099\" width=\"255\" height=\"373\" srcset=\"\/library\/wp-content\/uploads\/2023\/07\/image-19.png 509w, \/library\/wp-content\/uploads\/2023\/07\/image-19-205x300.png 205w\" sizes=\"auto, (max-width: 255px) 100vw, 255px\" \/><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u2013<\/em><strong><em> <\/em><\/strong><em>\u041b\u043e\u0448\u0430\u0434\u044c?.. \u0427\u0442\u043e? \u041f\u0440\u0438\u0447\u0435\u043c \u0442\u0443\u0442 \u043b\u043e\u0448\u0430\u0434\u044c?<\/em><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u2013 <\/em><strong><em>\u041e\u043d\u0430 \u043f\u043e\u043c\u043e\u0433\u0430\u0435\u0442 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u044f\u0442\u044c, \u043c\u0435\u043d\u044f\u0435\u0442\u0441\u044f \u043b\u0438 \u0442\u0440\u0438\u0433\u043e\u043d\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u043d\u0430 \u043f\u0440\u043e\u0442\u0438\u0432\u043e\u043f\u043e\u043b\u043e\u0436\u043d\u0443\u044e.<\/em><\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u2013<\/em><strong><em> <\/em><\/strong><em>\u0414\u0430 \u043a\u0430\u043a?!<\/em><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u2013 <\/em><strong><em>\u0421\u043b\u0443\u0448\u0430\u0439\u0442\u0435\u2026&nbsp;<\/em><\/strong><\/p>\n\n\n\n<h2 class=\"has-text-align-center wp-block-heading\"><strong>\u0413\u043b\u0430\u0432\u0430 3. \u041f\u0440\u0430\u0432\u0438\u043b\u043e \u043b\u043e\u0448\u0430\u0434\u0438<\/strong><\/h2>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td class=\"has-text-align-left\" data-align=\"left\"><strong>\u041a\u0430\u043a \u043b\u043e\u0448\u0430\u0434\u044c \u043f\u043e\u043c\u043e\u0433\u0430\u0435\u0442 \u043f\u0440\u0438\u0432\u0435\u0434\u0435\u043d\u0438\u044f\u043c?<\/strong><br><br>\u0412 \u0442\u0440\u0438\u0433\u043e\u043d\u043e\u043c\u0435\u0442\u0440\u0438\u0438 \u0441\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u0435\u0442 \u043f\u0440\u0430\u0432\u0438\u043b\u043e \u043b\u043e\u0448\u0430\u0434\u0438. \u0420\u0430\u0441\u0441\u043c\u043e\u0442\u0440\u0438\u043c, \u043a\u0430\u043a \u0441 \u0435\u0433\u043e \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u044f\u0442\u044c, \u043c\u0435\u043d\u044f\u0435\u0442\u0441\u044f \u043b\u0438 \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u043d\u0430 \u043f\u0440\u043e\u0442\u0438\u0432\u043e\u043f\u043e\u043b\u043e\u0436\u043d\u0443\u044e.<br><br>\u041f\u0435\u0440\u0432\u044b\u043c \u0434\u0435\u043b\u043e\u043c \u043d\u0443\u0436\u043d\u043e \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u0438\u0442\u044c \u0433\u043e\u043b\u043e\u0432\u0443 \u043b\u043e\u0448\u0430\u0434\u0438, \u043a\u043e\u0442\u043e\u0440\u0430\u044f \u0440\u0430\u0441\u043f\u043e\u043b\u0430\u0433\u0430\u0435\u0442\u0441\u044f \u0440\u043e\u0432\u043d\u043e \u043f\u043e\u0441\u0435\u0440\u0435\u0434\u0438\u043d\u0435 \u0442\u0440\u0438\u0433\u043e\u043d\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u043e\u0439 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438.&nbsp;<br><img decoding=\"async\" src=\"https:\/\/lh7-us.googleusercontent.com\/ribBvaLiNa34bBd8tTqzmURTe-cfHWno39xcj49nsUy9AmNMPtieNnD6cabrp6xk3cITQ2bvIWVknl1BRfvpjAQ6lbtxRUT1-T6LNtcLyd6DYR7vKiZqbpTzD8Xc3gMMW5-BGNRrs-jjR4iCU5C4eUk\" style=\"width: 300px;\"><br>\u0414\u0430\u043b\u044c\u043d\u0435\u0439\u0448\u0438\u0435 \u0440\u0430\u0441\u0441\u0443\u0436\u0434\u0435\u043d\u0438\u044f \u0437\u0430\u0432\u0438\u0441\u044f\u0442 \u043e\u0442 \u043e\u0441\u0438, \u043e\u0442 \u043a\u043e\u0442\u043e\u0440\u043e\u0439 \u043e\u0442\u043b\u043e\u0436\u0435\u043d \u0443\u0433\u043e\u043b. \u0413\u043b\u0430\u0432\u043d\u043e\u0435 \u2013 \u0437\u0430\u043f\u043e\u043c\u043d\u0438\u0442\u044c, \u0447\u0442\u043e <strong>\u0433\u043e\u043b\u043e\u0432\u0430 \u043b\u043e\u0448\u0430\u0434\u0438 \u0431\u0443\u0434\u0435\u0442 \u0434\u0432\u0438\u0433\u0430\u0442\u044c\u0441\u044f \u0442\u043e\u043b\u044c\u043a\u043e \u043f\u043e \u0442\u043e\u0439 \u043e\u0441\u0438, \u043a\u043e\u0442\u043e\u0440\u0430\u044f \u0434\u0430\u043d\u0430 \u0432 \u0444\u043e\u0440\u043c\u0443\u043b\u0435 \u043f\u0440\u0438\u0432\u0435\u0434\u0435\u043d\u0438\u044f.&nbsp;<\/strong><br><br>&#8212; \u0415\u0441\u043b\u0438 \u0432 \u0444\u043e\u0440\u043c\u0443\u043b\u0435 \u043f\u0440\u0438\u0432\u0435\u0434\u0435\u043d\u0438\u044f \u0443\u0433\u043e\u043b \u043e\u0442\u043b\u043e\u0436\u0435\u043d \u043e\u0442 \u0432\u0435\u0440\u0442\u0438\u043a\u0430\u043b\u044c\u043d\u043e\u0439 \u043e\u0441\u0438, \u043d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \u043e\u0442 \u0442\u043e\u0447\u0435\u043a \\(\\frac{\\pi}{2}, \\frac{3\\pi}{2}, \\frac{5\\pi}{2}\\), \u0442\u043e \u043b\u043e\u0448\u0430\u0434\u044c \u043a\u0430\u043a \u0431\u044b \u043a\u0438\u0432\u0430\u0435\u0442 \u0433\u043e\u043b\u043e\u0432\u043e\u0439 \u0438 \u0433\u043e\u0432\u043e\u0440\u0438\u0442 \u00ab\u0414\u0430\u00bb. \u0412 \u044d\u0442\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u043c\u0435\u043d\u044f\u0435\u0442\u0441\u044f \u043d\u0430 \u043f\u0440\u043e\u0442\u0438\u0432\u043e\u043f\u043e\u043b\u043e\u0436\u043d\u0443\u044e.<br><br>\u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \u0434\u043b\u044f \u0444\u043e\u0440\u043c\u0443\u043b\u044b \\(tg(\\frac{\\pi}{2}+x)\\) \u043b\u043e\u0448\u0430\u0434\u044c \u0431\u0443\u0434\u0435\u0442 \u043a\u0438\u0432\u0430\u0442\u044c \u0433\u043e\u043b\u043e\u0432\u043e\u0439, \u0430 \u0437\u043d\u0430\u0447\u0438\u0442, \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u043f\u043e\u043c\u0435\u043d\u044f\u0435\u0442\u0441\u044f \u0441 \u0442\u0430\u043d\u0433\u0435\u043d\u0441\u0430 \u043d\u0430 \u043a\u043e\u0442\u0430\u043d\u0433\u0435\u043d\u0441.<br><br>&#8212; \u0415\u0441\u043b\u0438 \u0432 \u0444\u043e\u0440\u043c\u0443\u043b\u0435 \u043f\u0440\u0438\u0432\u0435\u0434\u0435\u043d\u0438\u044f \u0443\u0433\u043e\u043b \u043e\u0442\u043b\u043e\u0436\u0435\u043d \u043e\u0442 \u0433\u043e\u0440\u0438\u0437\u043e\u043d\u0442\u0430\u043b\u044c\u043d\u043e\u0439 \u043e\u0441\u0438, \u043d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \u043e\u0442 \u0442\u043e\u0447\u0435\u043a \\(0,\\pi, 2\\pi\\), \u0442\u043e \u043b\u043e\u0448\u0430\u0434\u044c \u043a\u0430\u043a \u0431\u044b \u043c\u043e\u0442\u0430\u0435\u0442 \u0433\u043e\u043b\u043e\u0432\u043e\u0439 \u0438 \u0433\u043e\u0432\u043e\u0440\u0438\u0442 \u00ab\u041d\u0435\u0442\u00bb. \u0412 \u044d\u0442\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u043d\u0435 \u043c\u0435\u043d\u044f\u0435\u0442\u0441\u044f.&nbsp;<br><br>\u0414\u043b\u044f \u0444\u043e\u0440\u043c\u0443\u043b\u044b \\(tg(\\pi+x)\\) \u043b\u043e\u0448\u0430\u0434\u044c \u0431\u0443\u0434\u0435\u0442 \u043c\u043e\u0442\u0430\u0442\u044c \u0433\u043e\u043b\u043e\u0432\u043e\u0439, \u0442\u043e \u0435\u0441\u0442\u044c \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u043d\u0435 \u043f\u043e\u043c\u0435\u043d\u044f\u0435\u0442\u0441\u044f \u0438 \u0432 \u043e\u0442\u0432\u0435\u0442\u0435 \u043e\u0441\u0442\u0430\u043d\u0435\u0442\u0441\u044f \u0442\u0430\u043d\u0433\u0435\u043d\u0441.&nbsp;<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u2013<\/em><strong><em> <\/em><\/strong><em>\u0410 \u043a\u0430\u043a \u043f\u043e\u043d\u044f\u0442\u044c, \u043e\u0442 \u043a\u0430\u043a\u043e\u0439 \u043e\u0441\u0438 \u043e\u0442\u043b\u043e\u0436\u0435\u043d\u0430 \u0442\u043e\u0447\u043a\u0430, \u0435\u0441\u043b\u0438 \u043e\u043d\u0430, \u043d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \u0440\u0430\u0432\u043d\u0430 <\/em><em>10<\/em><em>?<\/em><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u2013 <\/em><strong><em>\u0414\u043b\u044f \u044d\u0442\u043e\u0433\u043e \u043d\u0443\u0436\u043d\u043e \u0445\u043e\u0440\u043e\u0448\u043e \u043e\u0440\u0438\u0435\u043d\u0442\u0438\u0440\u043e\u0432\u0430\u0442\u044c\u0441\u044f \u043d\u0430 \u0442\u0440\u0438\u0433\u043e\u043d\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u043e\u0439 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438. \u0421\u0435\u0439\u0447\u0430\u0441, \u044f \u043d\u0430\u0439\u0434\u0443 \u0432\u0430\u043c \u0440\u0443\u043a\u043e\u043f\u0438\u0441\u044c, \u0432 \u043a\u043e\u0442\u043e\u0440\u043e\u0439 \u0440\u0430\u0441\u0441\u043a\u0430\u0437\u0430\u043d\u043e \u0432\u0441\u0435 \u043e\u0431 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438. \u0412\u043e\u0442 \u043e\u043d\u0430: <a href=\"https:\/\/umschool.net\/library\/matematika\/trigonometricheskaya-okruzhnost-chast-1\/#part1\" target=\"_blank\" rel=\"noreferrer noopener\">\u00ab\u0422\u0440\u0438\u0433\u043e\u043d\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u0430\u044f \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u044c. \u0427\u0430\u0441\u0442\u044c 1\u00bb<\/a>.<\/em><\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u2013<\/em><strong><em> <\/em><\/strong><em>\u0417\u0432\u0443\u0447\u0438\u0442 \u0434\u043e\u0441\u0442\u0430\u0442\u043e\u0447\u043d\u043e \u043f\u0440\u043e\u0441\u0442\u043e. \u042d\u0442\u043e \u0432\u0441\u0435, \u0447\u0442\u043e \u043d\u0443\u0436\u043d\u043e \u0434\u043b\u044f \u0440\u0435\u0448\u0435\u043d\u0438\u044f \u0424\u043e\u0440\u043c\u0443\u043b?<\/em><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u2013 <\/em><strong><em>\u0420\u0430\u0437\u0443\u043c\u0435\u0435\u0442\u0441\u044f, \u043d\u0435\u0442. \u0414\u0430\u043b\u044c\u0448\u0435 \u043c\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c, \u043a\u0430\u043a\u043e\u0439 \u0437\u043d\u0430\u043a \u0431\u0443\u0434\u0435\u0442 \u0443 \u043d\u043e\u0432\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438.<\/em><\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u2013<\/em><strong><em> <\/em><\/strong><em>\u0418 \u043a\u0430\u043a \u044d\u0442\u043e \u0441\u0434\u0435\u043b\u0430\u0442\u044c?<\/em><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong><em>\u2013 \u0423\u0437\u043d\u0430\u0435\u043c, \u043a\u0430\u043a\u0438\u0435 \u0437\u043d\u0430\u043a\u0438 \u043f\u0440\u0438\u043d\u0438\u043c\u0430\u044e\u0442 \u0442\u0440\u0438\u0433\u043e\u043d\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u0438\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0432 \u0440\u0430\u0437\u043d\u044b\u0445 \u0447\u0435\u0442\u0432\u0435\u0440\u0442\u044f\u0445. \u041f\u043e\u0434\u043e\u0439\u0434\u0438\u0442\u0435 \u043a \u0432\u043e\u043d \u0442\u043e\u0439 \u0441\u0442\u0435\u043d\u0435. \u041d\u0430 \u043d\u0435\u0439 \u0432\u0438\u0441\u0438\u0442 \u043a\u0430\u0440\u0442\u0438\u043d\u0430 \u0441 \u043f\u0430\u043c\u044f\u0442\u043a\u043e\u0439.&nbsp;<\/em><\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td class=\"has-text-align-left\" data-align=\"left\"><strong>\u041a\u0430\u043a\u0438\u0435 \u0437\u043d\u0430\u043a\u0438 \u0438\u043c\u0435\u044e\u0442 \u0442\u0440\u0438\u0433\u043e\u043d\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u0438\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0432 \u0447\u0435\u0442\u0432\u0435\u0440\u0442\u044f\u0445?&nbsp;<\/strong><br><br>\u0417\u043d\u0430\u043a \u043a\u0430\u0436\u0434\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0432 \u0447\u0435\u0442\u0432\u0435\u0440\u0442\u0438 \u043b\u0435\u0433\u043a\u043e \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c \u043f\u043e \u0435\u0435 \u043e\u0441\u0438 \u043d\u0430 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438. \u0420\u0430\u0441\u043f\u043e\u043b\u043e\u0436\u0435\u043d\u0438\u0435 \u043e\u0441\u0435\u0439 \u043d\u0430 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438 \u043c\u044b \u0440\u0430\u0437\u0431\u0438\u0440\u0430\u043b\u0438 \u0432 \u0441\u0442\u0430\u0442\u044c\u0435 <a href=\"https:\/\/umschool.net\/library\/matematika\/trigonometricheskaya-okruzhnost-chast-2\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u00ab\u0422\u0440\u0438\u0433\u043e\u043d\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u0430\u044f \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u044c. \u0427\u0430\u0441\u0442\u044c 2\u00bb<\/a>.&nbsp;<br><br>\u0420\u0430\u0437\u0431\u0435\u0440\u0435\u043c \u043d\u0430 \u043f\u0440\u0438\u043c\u0435\u0440\u0435 \u0441\u0438\u043d\u0443\u0441\u043e\u0432. \u041e\u0441\u044c \u0441\u0438\u043d\u0443\u0441\u043e\u0432 \u2013 \u0432\u0435\u0440\u0442\u0438\u043a\u0430\u043b\u044c\u043d\u0430\u044f \u043e\u0441\u044c, \u043f\u0440\u043e\u0445\u043e\u0434\u044f\u0449\u0430\u044f \u0447\u0435\u0440\u0435\u0437 \u0446\u0435\u043d\u0442\u0440 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438. \u041f\u043e \u043d\u0435\u0439 \u043b\u0435\u0433\u043a\u043e \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u044f\u0435\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f \u0441\u0438\u043d\u0443\u0441\u043e\u0432 \u2013 \u0441\u0438\u043d\u0443\u0441 \u043f\u043e\u043b\u043e\u0436\u0438\u0442\u0435\u043b\u0435\u043d, \u0435\u0441\u043b\u0438 \u0435\u0433\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u043b\u0435\u0436\u0438\u0442 \u043d\u0430\u0434 \u043e\u0441\u044c\u044e \u043a\u043e\u0441\u0438\u043d\u0443\u0441\u043e\u0432 (\u044d\u0442\u043e\u0442 \u043f\u0440\u043e\u043c\u0435\u0436\u0443\u0442\u043e\u043a \u0432\u044b\u0434\u0435\u043b\u0435\u043d \u043a\u0440\u0430\u0441\u043d\u044b\u043c), \u0438 \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u0435\u043d, \u0435\u0441\u043b\u0438 \u0435\u0433\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u043b\u0435\u0436\u0438\u0442 \u043f\u043e\u0434 \u043e\u0441\u044c\u044e \u043a\u043e\u0441\u0438\u043d\u0443\u0441\u043e\u0432 (\u044d\u0442\u043e\u0442 \u043f\u0440\u043e\u043c\u0435\u0436\u0443\u0442\u043e\u043a \u0432\u044b\u0434\u0435\u043b\u0435\u043d \u0441\u0438\u043d\u0438\u043c).&nbsp;<br><img decoding=\"async\" src=\"https:\/\/lh6.googleusercontent.com\/dIaviWucEzSminbJxrqDzC61MhH3fJyWSL59HKWCeZQgs2Sj5JbR8mdnBrAMB_sw8LuG8ULEp3uaoXKdDdtDGMqDJiUrFtwpsWbdqe8mdJlCRBSCqMgLiJtT5k3aidKkBqjAhQ6oEfgp\" style=\"width: 350px;\"><br>\u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, <strong>\u0441\u0438\u043d\u0443\u0441 \u0431\u0443\u0434\u0435\u0442 \u043f\u0440\u0438\u043d\u0438\u043c\u0430\u0442\u044c \u043f\u043e\u043b\u043e\u0436\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f \u0432 I \u0438 II \u0447\u0435\u0442\u0432\u0435\u0440\u0442\u044f\u0445 \u0438 \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0435 \u0432 III \u0438 IV \u0447\u0435\u0442\u0432\u0435\u0440\u0442\u044f\u0445.&nbsp;<\/strong><br><img decoding=\"async\" src=\"https:\/\/lh5.googleusercontent.com\/sQg1Km7I7aAcNcniryMgylstpjerQliZmWzmdv77iQD6Rrr5gTTolZqA44JoHRU_iTFyp_IMV5KDyJAv5kyvzUg0fnekDpkOYfnwY4Nn2LLHmLIxrhQmD9iDIo5q5l0vAOy1D4f6JuOV\" style=\"width: 350px;\"><br>\u0410\u043d\u0430\u043b\u043e\u0433\u0438\u0447\u043d\u043e \u043c\u043e\u0436\u043d\u043e \u0432\u044b\u0432\u0435\u0441\u0442\u0438 \u0437\u043d\u0430\u043a\u0438 \u0434\u043b\u044f \u043e\u0441\u0442\u0430\u043b\u044c\u043d\u044b\u0445 \u0442\u0440\u0438\u0433\u043e\u043d\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u0438\u0445 \u0444\u0443\u043d\u043a\u0446\u0438\u0439:<br><br>&#8212; <strong>\u041a\u043e\u0441\u0438\u043d\u0443\u0441 \u0431\u0443\u0434\u0435\u0442 \u043f\u043e\u043b\u043e\u0436\u0438\u0442\u0435\u043b\u0435\u043d \u0432 I \u0438 IV \u0447\u0435\u0442\u0432\u0435\u0440\u0442\u044f\u0445 \u0438 \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u0435\u043d \u0432 II \u0438 III \u0447\u0435\u0442\u0432\u0435\u0440\u0442\u044f\u0445.<\/strong><br>&#8212; <strong>\u0422\u0430\u043d\u0433\u0435\u043d\u0441 \u0438 \u043a\u043e\u0442\u0430\u043d\u0433\u0435\u043d\u0441 \u0431\u0443\u0434\u0443\u0442 \u043f\u043e\u043b\u043e\u0436\u0438\u0442\u0435\u043b\u044c\u043d\u044b \u0432 I \u0438 III \u0447\u0435\u0442\u0432\u0435\u0440\u0442\u044f\u0445 \u0438 \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u044b \u0432 II \u0438 IV \u0447\u0435\u0442\u0432\u0435\u0440\u0442\u044f\u0445.&nbsp;<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"\/library\/wp-content\/uploads\/2023\/07\/image-20-1024x683.png\" alt=\"\" class=\"wp-image-27102\" width=\"512\" height=\"342\" srcset=\"\/library\/wp-content\/uploads\/2023\/07\/image-20-1024x683.png 1024w, \/library\/wp-content\/uploads\/2023\/07\/image-20-300x200.png 300w, \/library\/wp-content\/uploads\/2023\/07\/image-20-768x512.png 768w, \/library\/wp-content\/uploads\/2023\/07\/image-20.png 1113w\" sizes=\"auto, (max-width: 512px) 100vw, 512px\" \/><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u2013 \u041f\u043e \u043a\u0430\u043a\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u043d\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u044f\u0442\u044c \u0437\u043d\u0430\u043a? \u041f\u043e \u0442\u043e\u0439, \u043a\u043e\u0442\u043e\u0440\u0430\u044f \u0431\u044b\u043b\u0430 \u0432 \u043d\u0430\u0447\u0430\u043b\u0435, \u0438\u043b\u0438 \u043f\u043e \u0442\u043e\u0439, \u043a\u043e\u0442\u043e\u0440\u0430\u044f \u0431\u0443\u0434\u0435\u0442 \u0432 \u043e\u0442\u0432\u0435\u0442\u0435?<\/em><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u2013 <\/em><strong><em>\u041e\u0431\u044f\u0437\u0430\u0442\u0435\u043b\u044c\u043d\u043e \u043f\u043e \u0442\u043e\u0439, \u043a\u043e\u0442\u043e\u0440\u0430\u044f \u0431\u044b\u043b\u0430 \u0432 \u043d\u0430\u0447\u0430\u043b\u0435. \u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \u0432 \u0444\u043e\u0440\u043c\u0443\u043b\u0435 <\/em><\/strong>\\(ctg(\\frac{3\\pi}{2}+x)\\)<strong><em> \u0443\u0433\u043e\u043b \u0431\u0443\u0434\u0435\u0442 \u043b\u0435\u0436\u0430\u0442\u044c \u0432 \u0447\u0435\u0442\u0432\u0435\u0440\u0442\u043e\u0439 \u0447\u0435\u0442\u0432\u0435\u0440\u0442\u0438, \u0430 \u0437\u043d\u0430\u0447\u0438\u0442, \u0437\u043d\u0430\u043a \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0432 \u043e\u0442\u0432\u0435\u0442\u0435 \u0431\u0443\u0434\u0435\u0442 \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u0439.&nbsp;<\/em><\/strong><\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"\/library\/wp-content\/uploads\/2023\/07\/13-1-1017x1024.png\" alt=\"\" class=\"wp-image-27103\" width=\"254\" height=\"256\" srcset=\"\/library\/wp-content\/uploads\/2023\/07\/13-1-1017x1024.png 1017w, \/library\/wp-content\/uploads\/2023\/07\/13-1-298x300.png 298w, \/library\/wp-content\/uploads\/2023\/07\/13-1-150x150.png 150w, \/library\/wp-content\/uploads\/2023\/07\/13-1-768x773.png 768w, \/library\/wp-content\/uploads\/2023\/07\/13-1-1526x1536.png 1526w, \/library\/wp-content\/uploads\/2023\/07\/13-1-2034x2048.png 2034w\" sizes=\"auto, (max-width: 254px) 100vw, 254px\" \/><\/figure><\/div>\n\n\n\n<h2 class=\"has-text-align-center wp-block-heading\"><strong>\u0413\u043b\u0430\u0432\u0430 4. \u0417\u0430\u043a\u043b\u044e\u0447\u0438\u0442\u0435\u043b\u044c\u043d\u0430\u044f<\/strong><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u2013<\/em><strong><em> <\/em><\/strong><em>\u0422\u0435\u043f\u0435\u0440\u044c-\u0442\u043e \u0432\u0441\u0435?&nbsp;<\/em><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u2013 <\/em><strong><em>\u041d\u0435\u0442, \u043e\u0441\u0442\u0430\u043b\u0441\u044f \u0441\u0430\u043c\u044b\u0439 \u0432\u0430\u0436\u043d\u044b\u0439 \u0448\u0430\u0433: \u0437\u0430\u043f\u0438\u0441\u0430\u0442\u044c \u043e\u0442\u0432\u0435\u0442.<\/em><\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u2013<\/em><strong><em> <\/em><\/strong><em>\u0415\u0441\u0442\u044c \u043b\u0438 \u0443 \u0432\u0430\u0441 \u043f\u0430\u043c\u044f\u0442\u043a\u0430, \u043a\u0430\u043a \u0440\u0435\u0448\u0430\u0442\u044c \u0424\u043e\u0440\u043c\u0443\u043b\u044b \u041f\u0440\u0438\u0432\u0435\u0434\u0435\u043d\u0438\u044f?&nbsp;<\/em><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u2013 <\/em><strong><em>\u041a\u043e\u043d\u0435\u0447\u043d\u043e!&nbsp;<\/em><\/strong><\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"\/library\/wp-content\/uploads\/2023\/07\/snimok-ekrana-2023-07-06-113408.jpg\" alt=\"\" class=\"wp-image-27104\" width=\"338\" height=\"484\" srcset=\"\/library\/wp-content\/uploads\/2023\/07\/snimok-ekrana-2023-07-06-113408.jpg 675w, \/library\/wp-content\/uploads\/2023\/07\/snimok-ekrana-2023-07-06-113408-209x300.jpg 209w\" sizes=\"auto, (max-width: 338px) 100vw, 338px\" \/><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\"><strong><em>\u2013 \u041e\u0434\u043d\u0430\u043a\u043e \u0432\u0430\u043c \u043e\u0431\u044f\u0437\u0430\u0442\u0435\u043b\u044c\u043d\u043e \u0437\u0430\u043a\u0440\u0435\u043f\u0438\u0442\u044c \u0437\u043d\u0430\u043d\u0438\u044f \u043d\u0430 \u043f\u0440\u0430\u043a\u0442\u0438\u043a\u0435! \u0415\u0441\u043b\u0438 \u0432\u044b \u0440\u0435\u0448\u0438\u0442\u0435 \u043c\u043e\u0435 \u0437\u0430\u0434\u0430\u043d\u0438\u0435, \u0442\u043e, \u0442\u0430\u043a \u0443\u0436 \u0438 \u0431\u044b\u0442\u044c, \u044f \u043e\u0442\u043f\u0443\u0449\u0443 \u0432\u0430\u0441 \u0438\u0437 \u0437\u0430\u043c\u043a\u0430 \u043d\u0430 \u0432\u043e\u043b\u044e.<\/em><\/strong><\/p>\n\n\n\n<h2 class=\"has-text-align-center wp-block-heading\"><strong>\u042d\u043f\u0438\u043b\u043e\u0433. \u041f\u0440\u0430\u043a\u0442\u0438\u043a\u0430<\/strong><\/h2>\n\n\n\n<p class=\"has-background wp-block-paragraph\" style=\"background-color:#f0e5ff\">\u0424\u043e\u0440\u043c\u0443\u043b\u044b \u043f\u0440\u0438\u0432\u0435\u0434\u0435\u043d\u0438\u044f \u043c\u043e\u0433\u0443\u0442 \u0432\u0441\u0442\u0440\u0435\u0442\u0438\u0442\u044c\u0441\u044f \u0432 \u043b\u044e\u0431\u043e\u043c \u0437\u0430\u0434\u0430\u043d\u0438\u0438 \u0441 \u0442\u0440\u0438\u0433\u043e\u043d\u043e\u043c\u0435\u0442\u0440\u0438\u0435\u0439, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u043e\u0447\u0435\u043d\u044c \u0432\u0430\u0436\u043d\u043e \u0437\u043d\u0430\u0442\u044c, \u043a\u0430\u043a \u0441 \u043d\u0438\u043c\u0438 \u0440\u0430\u0431\u043e\u0442\u0430\u0442\u044c. \u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \u043e\u043d\u0438 \u0432\u0441\u0442\u0440\u0435\u0447\u0430\u044e\u0442\u0441\u044f \u0432 <strong>\u21166 \u0415\u0413\u042d \u043f\u043e \u043f\u0440\u043e\u0444\u0438\u043b\u044c\u043d\u043e\u0439 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0435.<\/strong><br><br><em>\u041d\u0430\u0439\u0434\u0438\u0442\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u044f <\/em>\\(sin(x-\\frac{15\\pi}{2})\\),<em> \u0435\u0441\u043b\u0438<\/em> \\(sin x=\\frac{\\sqrt3}{2}\\)<em> \u0438 <\/em>\\(x\\in (\\frac{3\\pi}{2};2\\pi)\\)<em>.<\/em><br><br><strong>\u0420\u0435\u0448\u0435\u043d\u0438\u0435.<\/strong><br><strong>\u0428\u0430\u0433 1.<\/strong><br>\u0412\u0430\u0436\u043d\u043e, \u0447\u0442\u043e\u0431\u044b \u0432 \u0444\u043e\u0440\u043c\u0443\u043b\u0435 \u043f\u0440\u0438\u0432\u0435\u0434\u0435\u043d\u0438\u044f \u043d\u0430 \u043f\u0435\u0440\u0432\u043e\u043c \u043c\u0435\u0441\u0442\u0435 \u0441\u0442\u043e\u044f\u043b\u0430 \u0442\u043e\u0447\u043a\u0430, \u043e\u0442 \u043a\u043e\u0442\u043e\u0440\u043e\u0439 \u043c\u044b \u043e\u0442\u043a\u043b\u0430\u0434\u044b\u0432\u0430\u0435\u043c \u0443\u0433\u043e\u043b. \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u043d\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u0442\u044c \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0435 \\(sin(x-\\frac{15\\pi}{2})\\)<em>. <\/em>\u0414\u043b\u044f \u044d\u0442\u043e\u0433\u043e \u0432\u044b\u043d\u0435\u0441\u0435\u043c \u043c\u0438\u043d\u0443\u0441 \u0438\u0437 \u0430\u0440\u0433\u0443\u043c\u0435\u043d\u0442\u0430. \u041f\u043e\u0434\u0440\u043e\u0431\u043d\u0435\u0435 \u043f\u0440\u043e \u0444\u043e\u0440\u043c\u0443\u043b\u044b, \u0441 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u043a\u043e\u0442\u043e\u0440\u044b\u0445 \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u044b\u0432\u0430\u0442\u044c \u0442\u0440\u0438\u0433\u043e\u043d\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u0438\u0435 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u044f, \u043c\u043e\u0436\u043d\u043e \u043f\u0440\u043e\u0447\u0435\u0441\u0442\u044c \u0432 \u0441\u0442\u0430\u0442\u044c\u0435 <a href=\"https:\/\/umschool.net\/library\/matematika\/formuly-trigonometrii-i-prostejshie-uravneniya\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u00ab\u0424\u043e\u0440\u043c\u0443\u043b\u044b \u0442\u0440\u0438\u0433\u043e\u043d\u043e\u043c\u0435\u0442\u0440\u0438\u0438 \u0438 \u043f\u0440\u043e\u0441\u0442\u0435\u0439\u0448\u0438\u0435 \u0442\u0440\u0438\u0433\u043e\u043d\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u0438\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f\u00bb<\/a>. \u0412\u044b\u043d\u0435\u0441\u0435\u043c \u043c\u0438\u043d\u0443\u0441 \u0441 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u0444\u043e\u0440\u043c\u0443\u043b\u044b \\(sin(-x)=-sin(x)\\):<br><br>\\(sin(x-\\frac{15\\pi}{2})\\)=\\(sin(\\frac{15\\pi}{2}-x)\\)<br><br><strong>\u0428\u0430\u0433 2.<\/strong><br>\u0422\u0435\u043f\u0435\u0440\u044c \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u043f\u0440\u0438\u043c\u0435\u043d\u0438\u0442\u044c \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c \u0434\u043b\u044f \u0440\u0435\u0448\u0435\u043d\u0438\u044f \u0444\u043e\u0440\u043c\u0443\u043b \u043f\u0440\u0438\u0432\u0435\u0434\u0435\u043d\u0438\u044f.&nbsp;<br><br><strong>\u041f\u0440\u043e\u0432\u0435\u0440\u0438\u043c \u043f\u0440\u0430\u0432\u0438\u043b\u043e \u043b\u043e\u0448\u0430\u0434\u0438:<\/strong> \u0443\u0433\u043e\u043b \u043e\u0442\u043b\u043e\u0436\u0435\u043d \u043e\u0442 \u0432\u0435\u0440\u0442\u0438\u043a\u0430\u043b\u044c\u043d\u043e\u0439 \u043e\u0441\u0438, \u0442\u043e \u0435\u0441\u0442\u044c \u043b\u043e\u0448\u0430\u0434\u044c \u043a\u0438\u0432\u0430\u0435\u0442, \u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0441\u0438\u043d\u0443\u0441 \u043c\u0435\u043d\u044f\u0435\u0442\u0441\u044f \u043d\u0430 \u043a\u043e\u0441\u0438\u043d\u0443\u0441.&nbsp;<br><br><strong>\u0414\u0430\u043b\u0435\u0435 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u044f\u0435\u043c \u0437\u043d\u0430\u043a.<\/strong> \u0423\u0433\u043e\u043b \u043f\u043e\u043f\u0430\u0434\u0435\u0442 \u0432 III \u0447\u0435\u0442\u0432\u0435\u0440\u0442\u044c, \u0432 \u043a\u043e\u0442\u043e\u0440\u043e\u0439 \u0441\u0438\u043d\u0443\u0441 \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u0439. \u0417\u043d\u0430\u0447\u0438\u0442, \u0437\u043d\u0430\u043a \u043f\u043e\u043c\u0435\u043d\u044f\u0435\u0442\u0441\u044f \u043d\u0430 \u043f\u0440\u043e\u0442\u0438\u0432\u043e\u043f\u043e\u043b\u043e\u0436\u043d\u044b\u0439:<br><br>\\(-sin(\\frac{15\\pi}{2}-x)=cos x\\)<br><br><strong>\u0428\u0430\u0433 3.<\/strong><br>\u0427\u0442\u043e\u0431\u044b \u043d\u0430\u0439\u0442\u0438 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u043a\u043e\u0441\u0438\u043d\u0443\u0441\u0430, \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u0432\u043e\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c\u0441\u044f <strong>\u043e\u0441\u043d\u043e\u0432\u043d\u044b\u043c \u0442\u0440\u0438\u0433\u043e\u043d\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u0438\u043c \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432\u043e\u043c: <\/strong>&nbsp;<br><br>\\(sin^2x+cos^2x=1\\)<br>\\(cos^2x=1-sin^2x\\)<br>\\(cos x=\\pm\\sqrt{1-sin^2x}\\)<br><br>\u041e\u0441\u043d\u043e\u0432\u043d\u043e\u0435 \u0442\u0440\u0438\u0433\u043e\u043d\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432\u043e&nbsp; \u043c\u044b \u0442\u0430\u043a\u0436\u0435 \u043f\u043e\u0434\u0440\u043e\u0431\u043d\u043e \u043e\u0431\u0441\u0443\u0436\u0434\u0430\u043b\u0438 \u0432 \u0441\u0442\u0430\u0442\u044c\u0435 <a href=\"https:\/\/umschool.net\/library\/matematika\/formuly-trigonometrii-i-prostejshie-uravneniya\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u00ab\u0424\u043e\u0440\u043c\u0443\u043b\u044b \u0442\u0440\u0438\u0433\u043e\u043d\u043e\u043c\u0435\u0442\u0440\u0438\u0438 \u0438 \u043f\u0440\u043e\u0441\u0442\u0435\u0439\u0448\u0438\u0435 \u0442\u0440\u0438\u0433\u043e\u043d\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u0438\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f\u00bb<\/a>.<br><br><strong>\u0428\u0430\u0433 4.<\/strong><br>\u041f\u043e \u0443\u0441\u043b\u043e\u0432\u0438\u044e \u0443\u0433\u043e\u043b <em>\u0445<\/em> \u043b\u0435\u0436\u0438\u0442 \u0432 \u0447\u0435\u0442\u0432\u0435\u0440\u0442\u043e\u0439 \u0447\u0435\u0442\u0432\u0435\u0440\u0442\u0438, \u0432 \u043a\u043e\u0442\u043e\u0440\u043e\u0439 \u043a\u043e\u0441\u0438\u043d\u0443\u0441 \u043f\u043e\u043b\u043e\u0436\u0438\u0442\u0435\u043b\u0435\u043d. \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u043f\u043e\u043b\u0443\u0447\u0430\u0435\u043c:<br><br>\\(cos x=\\sqrt{1-sin^2x}\\)<br><br>\u041f\u043e\u0434\u0441\u0442\u0430\u0432\u0438\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u0441\u0438\u043d\u0443\u0441\u0430:<br><br>\\(cos x=\\sqrt{1-(\\frac{\\sqrt3}{2})^2}=\\sqrt{1-\\frac{3}{4}}=\\sqrt{\\frac{1}{4}}=\\frac{1}{2}\\)<br><br><strong>\u041e\u0442\u0432\u0435\u0442: <\/strong>\\(\\frac{1}{2}\\).<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"\/library\/wp-content\/uploads\/2023\/07\/image-21.png\" alt=\"\" class=\"wp-image-27108\" width=\"368\" height=\"367\" srcset=\"\/library\/wp-content\/uploads\/2023\/07\/image-21.png 735w, \/library\/wp-content\/uploads\/2023\/07\/image-21-300x300.png 300w, \/library\/wp-content\/uploads\/2023\/07\/image-21-150x150.png 150w\" sizes=\"auto, (max-width: 368px) 100vw, 368px\" \/><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u2013 \u0411\u043e\u043b\u044c\u0448\u0435 \u0432 \u0441\u0442\u0440\u0430\u0448\u043d\u044b\u0435 \u0437\u0430\u043c\u043a\u0438 \u043d\u0438 \u043d\u043e\u0433\u043e\u0439!&nbsp;<\/em><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u2013 \u0417\u0430\u0442\u043e \u0443\u0437\u043d\u0430\u043b\u0438 \u0447\u0442\u043e-\u0442\u043e \u043d\u043e\u0432\u043e\u0435. \u041e\u043a\u0430\u0437\u0430\u043b\u043e\u0441\u044c, \u0424\u043e\u0440\u043c\u0443\u043b\u044b \u041f\u0440\u0438\u0432\u0435\u0434\u0435\u043d\u0438\u044f \u043d\u0435 \u0442\u0430\u043a\u0438\u0435 \u0441\u0442\u0440\u0430\u0448\u043d\u044b\u0435, \u043a\u0430\u043a \u043a\u0430\u0437\u0430\u043b\u043e\u0441\u044c \u043d\u0430 \u043f\u0435\u0440\u0432\u044b\u0439 \u0432\u0437\u0433\u043b\u044f\u0434. \u0418\u043d\u0442\u0435\u0440\u0435\u0441\u043d\u043e, \u0441\u043c\u043e\u0436\u0435\u043c \u043b\u0438 \u043c\u044b \u0442\u0435\u043f\u0435\u0440\u044c \u0440\u0435\u0448\u0430\u0442\u044c <a href=\"https:\/\/umschool.net\/library\/matematika\/formuly-trigonometrii-i-prostejshie-uravneniya\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u00ab\u0422\u0440\u0438\u0433\u043e\u043d\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u0438\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f\u00bb<\/a>?<\/em><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u2013 \u0414\u0443\u043c\u0430\u044e, \u0441\u043c\u043e\u0436\u0435\u043c. \u0414\u0430\u0432\u0430\u0439 \u043f\u0440\u043e\u0432\u0435\u0440\u0438\u043c!&nbsp;<\/em><\/p>\n\n\n\n<p class=\"has-background wp-block-paragraph\" style=\"background-color:#f0e5ff\">\u041d\u0430\u0434\u0435\u0435\u043c\u0441\u044f, \u0447\u0442\u043e \u0432\u0430\u043c \u043f\u043e\u043d\u0440\u0430\u0432\u0438\u043b\u043e\u0441\u044c \u043d\u0435\u0431\u043e\u043b\u044c\u0448\u043e\u0435 \u043f\u0443\u0442\u0435\u0448\u0435\u0441\u0442\u0432\u0438\u0435 \u0432 \u0437\u0430\u043c\u043e\u043a \u043a \u043f\u0440\u0438\u0437\u0440\u0430\u043a\u0430\u043c. \u0414\u0430\u0432\u0430\u0439\u0442\u0435 \u043f\u043e\u0434\u0432\u0435\u0434\u0435\u043c \u043d\u0435\u0431\u043e\u043b\u044c\u0448\u043e\u0439 \u0438\u0442\u043e\u0433.<br><br>\u0424\u043e\u0440\u043c\u0443\u043b\u044b \u043f\u0440\u0438\u0432\u0435\u0434\u0435\u043d\u0438\u044f \u043f\u0440\u0438\u043c\u0435\u043d\u044f\u044e\u0442\u0441\u044f \u0434\u043b\u044f \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u0438\u044f \u0430\u0440\u0433\u0443\u043c\u0435\u043d\u0442\u0430 \u0442\u0440\u0438\u0433\u043e\u043d\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0432 \u0442\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435, \u0435\u0441\u043b\u0438 \u0443\u0433\u043e\u043b \u043e\u0442\u043b\u043e\u0436\u0435\u043d \u043e\u0442 \u043e\u0434\u043d\u043e\u0439 \u0438\u0437 \u043e\u0441\u0435\u0439.&nbsp;<br><br>\u0424\u043e\u0440\u043c\u0443\u043b\u044b \u043f\u0440\u0438\u0432\u0435\u0434\u0435\u043d\u0438\u044f \u043c\u043e\u0433\u0443\u0442 \u0432\u044b\u0433\u043b\u044f\u0434\u0435\u0442\u044c \u0442\u0430\u043a: \\(sin(\\frac{\\pi}{2}+x), cos(\\pi-x), tg(\\frac{13\\pi}{2}-x), ctg(x-15\\pi)\\) \u0438 \u0442.\u0434. \u041f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u043d\u0435\u0432\u043e\u0437\u043c\u043e\u0436\u043d\u043e \u0440\u0435\u0448\u0430\u0442\u044c \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u0438 \u043d\u0435\u0440\u0430\u0432\u0435\u043d\u0441\u0442\u0432\u0430 \u0441 \u0442\u0430\u043a\u0438\u043c \u0430\u0440\u0433\u0443\u043c\u0435\u043d\u0442\u043e\u043c, \u0435\u0433\u043e \u043d\u0443\u0436\u043d\u043e \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u044b\u0432\u0430\u0442\u044c.&nbsp;<br><br>\u0418\u043c\u0435\u043d\u043d\u043e \u0432 \u044d\u0442\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u043d\u0430 \u043f\u043e\u043c\u043e\u0449\u044c \u043f\u0440\u0438\u0445\u043e\u0434\u044f\u0442 \u0444\u043e\u0440\u043c\u0443\u043b\u044b \u043f\u0440\u0438\u0432\u0435\u0434\u0435\u043d\u0438\u044f. \u0418\u0445 \u043c\u043e\u0436\u043d\u043e \u043f\u043e\u043f\u0440\u043e\u0431\u043e\u0432\u0430\u0442\u044c \u0432\u044b\u0443\u0447\u0438\u0442\u044c, \u0434\u043b\u044f \u044d\u0442\u043e\u0433\u043e \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u0432\u043e\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c\u0441\u044f \u0442\u0430\u0431\u043b\u0438\u0446\u0435\u0439:<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"\/library\/wp-content\/uploads\/2023\/07\/16-1-1024x490.png\" alt=\"\" class=\"wp-image-27111\" width=\"768\" height=\"368\" srcset=\"\/library\/wp-content\/uploads\/2023\/07\/16-1-1024x490.png 1024w, \/library\/wp-content\/uploads\/2023\/07\/16-1-300x144.png 300w, \/library\/wp-content\/uploads\/2023\/07\/16-1-768x368.png 768w, \/library\/wp-content\/uploads\/2023\/07\/16-1-1536x735.png 1536w, \/library\/wp-content\/uploads\/2023\/07\/16-1-2048x980.png 2048w\" sizes=\"auto, (max-width: 768px) 100vw, 768px\" \/><\/figure><\/div>\n\n\n\n<p class=\"has-background wp-block-paragraph\" style=\"background-color:#f0e5ff\">\u041e\u0434\u043d\u0430\u043a\u043e \u0443\u0447\u0438\u0442\u044c \u0438\u0445 \u0432\u0441\u0435 \u0441\u043e\u0432\u0441\u0435\u043c \u043d\u0435\u043e\u0431\u044f\u0437\u0430\u0442\u0435\u043b\u044c\u043d\u043e! \u0420\u0435\u0448\u0438\u0442\u044c \u043b\u044e\u0431\u0443\u044e \u0444\u043e\u0440\u043c\u0443\u043b\u0443 \u043f\u0440\u0438\u0432\u0435\u0434\u0435\u043d\u0438\u044f \u043c\u043e\u0436\u043d\u043e \u0441 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u043f\u0440\u043e\u0441\u0442\u043e\u0433\u043e <strong>\u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u0430:&nbsp;<\/strong><br><br><strong>\u0428\u0430\u0433 1. <\/strong>\u0417\u0430\u043f\u0438\u0441\u0430\u0442\u044c \u0444\u043e\u0440\u043c\u0443\u043b\u0443 \u043f\u0440\u0438\u0432\u0435\u0434\u0435\u043d\u0438\u044f.<br><br><strong>\u0428\u0430\u0433 2.<\/strong> \u041f\u043e \u043f\u0440\u0430\u0432\u0438\u043b\u0443 \u043b\u043e\u0448\u0430\u0434\u0438 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c, \u043c\u0435\u043d\u044f\u0435\u0442\u0441\u044f \u043b\u0438 \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u043d\u0430 \u043f\u0440\u043e\u0442\u0438\u0432\u043e\u043f\u043e\u043b\u043e\u0436\u043d\u0443\u044e.<br><br><strong>\u041f\u0440\u0430\u0432\u0438\u043b\u043e \u043b\u043e\u0448\u0430\u0434\u0438 <\/strong>\u043e\u043f\u0438\u0440\u0430\u0435\u0442\u0441\u044f \u043d\u0430 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u0438\u0435 \u0433\u043e\u043b\u043e\u0432\u044b \u043b\u043e\u0448\u0430\u0434\u0438 \u043d\u0430 \u0442\u0440\u0438\u0433\u043e\u043d\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u043e\u0439 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438. \u041f\u0440\u0438 \u044d\u0442\u043e\u043c \u043b\u043e\u0448\u0430\u0434\u044c \u0434\u0432\u0438\u0433\u0430\u0435\u0442 \u0433\u043e\u043b\u043e\u0432\u043e\u0439 \u043f\u043e \u0442\u043e\u0439 \u043e\u0441\u0438, \u043e\u0442 \u043a\u043e\u0442\u043e\u0440\u043e\u0439 \u043e\u0442\u043b\u043e\u0436\u0435\u043d \u0443\u0433\u043e\u043b.<br>&#8212; \u0415\u0441\u043b\u0438 \u0443\u0433\u043e\u043b \u043e\u0442\u043b\u043e\u0436\u0435\u043d \u043e\u0442 \u0432\u0435\u0440\u0442\u0438\u043a\u0430\u043b\u044c\u043d\u043e\u0439 \u043e\u0441\u0438, \u043d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \\(sin(\\frac{\\pi}{2}+x)\\), \u0442\u043e <strong>\u043b\u043e\u0448\u0430\u0434\u044c \u043a\u0438\u0432\u0430\u0435\u0442 (\u0433\u043e\u0432\u043e\u0440\u0438\u0442 \u00ab\u0434\u0430\u00bb), \u0438 \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u043c\u0435\u043d\u044f\u0435\u0442\u0441\u044f \u043d\u0430 \u043f\u0440\u043e\u0442\u0438\u0432\u043e\u043f\u043e\u043b\u043e\u0436\u043d\u0443\u044e<\/strong>, \u0442\u043e \u0435\u0441\u0442\u044c \u0441\u0438\u043d\u0443\u0441 \u043d\u0430 \u043a\u043e\u0441\u0438\u043d\u0443\u0441 \u0438\u043b\u0438 \u0442\u0430\u043d\u0433\u0435\u043d\u0441 \u043d\u0430 \u043a\u043e\u0442\u0430\u043d\u0433\u0435\u043d\u0441 (\u0438 \u043d\u0430\u043e\u0431\u043e\u0440\u043e\u0442).<br>&#8212; \u0415\u0441\u043b\u0438 \u0443\u0433\u043e\u043b \u043e\u0442\u043b\u043e\u0436\u0435\u043d \u043e\u0442 \u0433\u043e\u0440\u0438\u0437\u043e\u043d\u0442\u0430\u043b\u044c\u043d\u043e\u0439 \u043e\u0441\u0438, \u043d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \\(sin(\\pi-x)\\), \u0442\u043e <strong>\u043b\u043e\u0448\u0430\u0434\u044c \u043c\u043e\u0442\u0430\u0435\u0442 \u0433\u043e\u043b\u043e\u0432\u043e\u0439 (\u0433\u043e\u0432\u043e\u0440\u0438\u0442 \u00ab\u043d\u0435\u0442\u00bb), \u0438 \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u043d\u0435 \u043c\u0435\u043d\u044f\u0435\u0442\u0441\u044f.&nbsp;<\/strong><br><br><strong>\u0428\u0430\u0433 3.<\/strong> \u041e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c \u0437\u043d\u0430\u043a \u043d\u043e\u0432\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438.<br><br>\u0414\u043b\u044f \u044d\u0442\u043e\u0433\u043e \u043d\u0443\u0436\u043d\u043e \u043e\u043f\u0438\u0440\u0430\u0442\u044c\u0441\u044f \u043d\u0430 \u0444\u0443\u043d\u043a\u0446\u0438\u044e, \u043a\u043e\u0442\u043e\u0440\u0430\u044f \u0431\u044b\u043b\u0430 \u0434\u0430\u043d\u0430 \u0438\u0437\u043d\u0430\u0447\u0430\u043b\u044c\u043d\u043e. \u0417\u0430\u0434\u0430\u0447\u0430: \u0443\u0441\u0442\u0430\u043d\u043e\u0432\u0438\u0442\u044c, \u0432 \u043a\u0430\u043a\u0443\u044e \u0447\u0435\u0442\u0432\u0435\u0440\u0442\u044c \u043f\u043e\u043f\u0430\u0434\u0430\u0435\u0442 \u0443\u0433\u043e\u043b \u0438 \u043a\u0430\u043a\u043e\u0439 \u0437\u043d\u0430\u043a \u0438\u043c\u0435\u0435\u0442 \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0432 \u044d\u0442\u043e\u0439 \u0447\u0435\u0442\u0432\u0435\u0440\u0442\u0438.<br><br><strong>\u0428\u0430\u0433 4.<\/strong> \u0417\u0430\u043f\u0438\u0441\u044b\u0432\u0430\u0435\u043c \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442.<\/p>\n\n\n\n<h2 class=\"has-text-align-center wp-block-heading\" id=\"\u0442\u0435\u0440\u043c\u0438\u043d\u044b\"><strong>\u0422\u0435\u0440\u043c\u0438\u043d\u044b<\/strong><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u0410\u0440\u0433\u0443\u043c\u0435\u043d\u0442 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 <\/strong>\u2013 \u044d\u0442\u043e \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u0430\u044f \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u0430\u044f, \u043e\u0431\u044b\u0447\u043d\u043e \u0435\u0435 \u043e\u0431\u043e\u0437\u043d\u0430\u0447\u0430\u044e\u0442 \u0447\u0435\u0440\u0435\u0437 <em>x<\/em>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u0422\u0440\u0438\u0433\u043e\u043d\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u0438\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 <\/strong>\u2013<strong> <\/strong>\u044d\u0442\u043e \u0441\u0438\u043d\u0443\u0441, \u043a\u043e\u0441\u0438\u043d\u0443\u0441, \u0442\u0430\u043d\u0433\u0435\u043d\u0441 \u0438 \u043a\u043e\u0442\u0430\u043d\u0433\u0435\u043d\u0441. \u0421 \u0438\u0445 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u0432\u044b\u0440\u0430\u0436\u0430\u0435\u0442\u0441\u044f \u0432\u0435\u043b\u0438\u0447\u0438\u043d\u0430 \u0443\u0433\u043b\u0430 \u0432 \u0447\u0438\u0441\u043b\u0435\u043d\u043d\u043e\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0438.&nbsp;<\/p>\n\n\n\n<h2 class=\"has-text-align-center wp-block-heading\"><strong>\u0424\u0430\u043a\u0442\u0447\u0435\u043a<\/strong><\/h2>\n\n\n\n<ul class=\"wp-block-list\"><li><strong>\u0424\u043e\u0440\u043c\u0443\u043b\u044b \u043f\u0440\u0438\u0432\u0435\u0434\u0435\u043d\u0438\u044f \u2013 <\/strong>\u0444\u043e\u0440\u043c\u0443\u043b\u044b, \u043f\u043e\u0437\u0432\u043e\u043b\u044f\u044e\u0449\u0438\u0435 \u043f\u0440\u0438\u0432\u0435\u0441\u0442\u0438 \u0430\u0440\u0433\u0443\u043c\u0435\u043d\u0442, \u0432 \u043a\u043e\u0442\u043e\u0440\u043e\u043c \u0443\u0433\u043e\u043b \u043e\u0442\u043b\u043e\u0436\u0435\u043d \u043e\u0442 \u043e\u0434\u043d\u043e\u0439 \u0438\u0437 \u043e\u0441\u0435\u0439 \u043d\u0430 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438, \u043a \u043e\u0431\u044b\u0447\u043d\u043e\u043c\u0443 \u0430\u0440\u0433\u0443\u043c\u0435\u043d\u0442\u0443 \u0441 \u0443\u0433\u043b\u043e\u043c.&nbsp;<\/li><li>\u041f\u0440\u0438\u043c\u0435\u0440\u0430\u043c\u0438 \u0444\u043e\u0440\u043c\u0443\u043b \u043f\u0440\u0438\u0432\u0435\u0434\u0435\u043d\u0438\u044f \u043c\u043e\u0433\u0443\u0442 \u0441\u043b\u0443\u0436\u0438\u0442\u044c \\(sin(\\frac{\\pi}{2}+x), cos(\\pi-x), tg(x+\\frac{3\\pi}{2}), ctg(x-\\pi)\\).<\/li><li>\u0427\u0442\u043e\u0431\u044b \u0440\u0435\u0448\u0438\u0442\u044c \u0444\u043e\u0440\u043c\u0443\u043b\u044b \u043f\u0440\u0438\u0432\u0435\u0434\u0435\u043d\u0438\u044f, \u043d\u0443\u0436\u043d\u043e \u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u0443. \u041f\u043e \u043d\u0435\u043c\u0443 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u044f\u0435\u0442\u0441\u044f, <strong>\u043c\u0435\u043d\u044f\u0435\u0442\u0441\u044f \u043b\u0438 \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u043d\u0430 \u043f\u0440\u043e\u0442\u0438\u0432\u043e\u043f\u043e\u043b\u043e\u0436\u043d\u0443\u044e <\/strong>(\u0441\u0438\u043d\u0443\u0441 \u043d\u0430 \u043a\u043e\u0441\u0438\u043d\u0443\u0441 \u0438\u043b\u0438 \u0442\u0430\u043d\u0433\u0435\u043d\u0441 \u043d\u0430 \u043a\u043e\u0442\u0430\u043d\u0433\u0435\u043d\u0441 \u0438 \u043d\u0430\u043e\u0431\u043e\u0440\u043e\u0442). \u042d\u0442\u043e \u0434\u0435\u043b\u0430\u0435\u0442\u0441\u044f <strong>\u0441 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u043f\u0440\u0430\u0432\u0438\u043b\u0430 \u043b\u043e\u0448\u0430\u0434\u0438.<\/strong><\/li><li>\u0414\u0430\u043b\u044c\u0448\u0435 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u044f\u0435\u0442\u0441\u044f \u0437\u043d\u0430\u043a. \u0417\u043d\u0430\u043a \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u044f\u0435\u0442\u0441\u044f \u043f\u043e <strong>\u0438\u0437\u043d\u0430\u0447\u0430\u043b\u044c\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438<\/strong> \u0441 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u0447\u0435\u0442\u0432\u0435\u0440\u0442\u0435\u0439 \u043d\u0430 \u043e\u043a\u0440\u0443\u0436\u043d\u043e\u0441\u0442\u0438.&nbsp;<\/li><\/ul>\n\n\n\n<h2 class=\"has-text-align-center wp-block-heading\"><strong>\u041f\u0440\u043e\u0432\u0435\u0440\u044c \u0441\u0435\u0431\u044f<\/strong><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u0417\u0430\u0434\u0430\u043d\u0438\u0435 1.<\/strong><br>\u0427\u0435\u043c\u0443 \u0440\u0430\u0432\u043d\u043e \\(sin x+\\pi\\) ?<\/p>\n\n\n\n<ol class=\"wp-block-list\"><li>\\(sin x\\)<\/li><li>\\(-sin x\\)<\/li><li>\\(1\\)<\/li><li>\\(cos x\\)<\/li><\/ol>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u0417\u0430\u0434\u0430\u043d\u0438\u0435 2.<\/strong><br>\u0427\u0435\u043c\u0443 \u0440\u0430\u0432\u043d\u043e \\(ctg x+\\frac{\\pi}{2}\\)?<\/p>\n\n\n\n<ol class=\"wp-block-list\"><li>\\(tg x\\)<\/li><li>\\(ctg x\\)<\/li><li>\\(- ctg x\\)<\/li><li>\\(- tg x\\)<\/li><\/ol>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u0417\u0430\u0434\u0430\u043d\u0438\u0435 3.<\/strong><br>\u0427\u0435\u043c\u0443 \u0440\u0430\u0432\u043d\u043e \\(tg-2x-\\pi\\)?<\/p>\n\n\n\n<ol class=\"wp-block-list\"><li>\\(2x\\)<\/li><li>\\(0\\)<\/li><li>\\(-tg2x\\)<\/li><li>\\(tg2x\\)<\/li><\/ol>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u0417\u0430\u0434\u0430\u043d\u0438\u0435 4.<\/strong><br>\u0420\u0435\u0448\u0438\u0442\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \\(sin x+\\frac{3\\pi}{2} =1\\)<\/p>\n\n\n\n<ol class=\"wp-block-list\"><li>\\(x=\u03c0+2\u03c0k, k\u2208z\\)<\/li><li>\\(x=\u03c0+\u03c0k, k\u2208z\\)<\/li><li>\\(x=2\u03c0k, k\u2208z\\)<\/li><li>\\(x=-\u03c0+2\u03c0k, k\u2208z\\)<\/li><\/ol>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u0417\u0430\u0434\u0430\u043d\u0438\u0435 5.<\/strong><br>\u0412 \u043a\u0430\u043a\u0438\u0445 \u0447\u0435\u0442\u0432\u0435\u0440\u0442\u044f\u0445 \u0442\u0430\u043d\u0433\u0435\u043d\u0441 \u043f\u043e\u043b\u043e\u0436\u0438\u0442\u0435\u043b\u0435\u043d?<\/p>\n\n\n\n<ol class=\"wp-block-list\"><li>I \u0438 II<\/li><li>I \u0438 III<\/li><li>II \u0438 IV<\/li><li>I \u0438 IV<\/li><\/ol>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u041e\u0442\u0432\u0435\u0442\u044b: 1.<\/strong> \u2014 2; <strong>2.<\/strong> \u2014 4; <strong>3.<\/strong> \u2014 3; <strong>4.<\/strong> \u2014 1; <strong>5.<\/strong> \u2014 2.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u041d\u0430 \u044d\u0442\u043e\u0439 \u0441\u0442\u0440\u0430\u043d\u0438\u0446\u0435 \u0432\u044b \u0443\u0437\u043d\u0430\u0435\u0442\u0435 \u041a\u0442\u043e \u0438 \u043a\u043e\u0433\u0434\u0430 \u0432\u044b\u0432\u0435\u043b \u0444\u043e\u0440\u043c\u0443\u043b\u044b \u043f\u0440\u0438\u0432\u0435\u0434\u0435\u043d\u0438\u044f? \u041a\u0430\u043a \u043b\u043e\u0448\u0430\u0434\u044c \u043f\u043e\u043c\u043e\u0433\u0430\u0435\u0442 \u043f\u0440\u0438\u0432\u0435\u0434\u0435\u043d\u0438\u044f\u043c?&nbsp; \u041a\u0430\u043a\u0438\u0435 \u0437\u043d\u0430\u043a\u0438 \u0438\u043c\u0435\u044e\u0442 \u0442\u0440\u0438\u0433\u043e\u043d\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u0438\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0432 \u0447\u0435\u0442\u0432\u0435\u0440\u0442\u044f\u0445?&nbsp; \u041b\u044e\u0431\u0438\u0442\u0435 \u043b\u0438 \u0432\u044b \u043a\u0432\u0435\u0441\u0442\u044b, \u0437\u0430\u0433\u0430\u0434\u043a\u0438 \u0438 \u0441\u0435\u043a\u0440\u0435\u0442\u043d\u044b\u0435 \u043f\u0430\u0440\u043e\u043b\u0438? \u0410 \u0438\u0433\u0440\u044b? \u041d\u0430\u0434\u0435\u0435\u043c\u0441\u044f, \u0447\u0442\u043e \u043e\u0442\u0432\u0435\u0442 \u0443\u0442\u0432\u0435\u0440\u0434\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0439, \u0442\u0430\u043a \u043a\u0430\u043a \u043c\u044b \u043f\u0440\u0438\u0433\u043e\u0442\u043e\u0432\u0438\u043b\u0438 \u0434\u043b\u044f \u0432\u0430\u0441 \u043e\u0447\u0435\u043d\u044c \u043d\u0435\u043e\u0431\u044b\u0447\u043d\u0443\u044e \u0441\u0442\u0430\u0442\u044c\u044e. \u0421 \u043d\u0435\u0439 \u0432\u044b \u043d\u0435 \u0442\u043e\u043b\u044c\u043a\u043e \u043e\u0441\u0432\u043e\u0438\u0442\u0435 \u043d\u043e\u0432\u044b\u0435 \u0441\u043f\u043e\u0441\u043e\u0431\u044b \u0440\u0435\u0448\u0435\u043d\u0438\u044f \u0437\u0430\u0434\u0430\u043d\u0438\u0439 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":37431,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[22],"tags":[1405],"class_list":["post-27085","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-matematika","tag-trigonometriya"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.7 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>\u0424\u043e\u0440\u043c\u0443\u043b\u044b \u043f\u0440\u0438\u0432\u0435\u0434\u0435\u043d\u0438\u044f - \u0423\u043c\u0441\u043a\u0443\u043b \u0423\u0447\u0435\u0431\u043d\u0438\u043a<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link 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