{"id":37802,"date":"2025-07-31T19:36:02","date_gmt":"2025-07-31T12:36:02","guid":{"rendered":"https:\/\/www.ckconitsha.com\/vn\/?p=37802"},"modified":"2025-07-31T22:06:58","modified_gmt":"2025-07-31T15:06:58","slug":"ham-so-luong-giac-ly-thuyet-phuong-trinh-va-bai-tap-van-dung-hay","status":"publish","type":"post","link":"https:\/\/www.ckconitsha.com\/vn\/ham-so-luong-giac-ly-thuyet-phuong-trinh-va-bai-tap-van-dung-hay\/","title":{"rendered":"H\u00e0m s\u1ed1 l\u01b0\u1ee3ng gi\u00e1c: L\u00fd thuy\u1ebft, ph\u01b0\u01a1ng tr\u00ecnh v\u00e0 b\u00e0i t\u1eadp v\u1eadn d\u1ee5ng hay"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_79_2 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/www.ckconitsha.com\/vn\/ham-so-luong-giac-ly-thuyet-phuong-trinh-va-bai-tap-van-dung-hay\/#Chuc_nang_luong_giac_la_gi\" >Ch\u1ee9c n\u0103ng l\u01b0\u1ee3ng gi\u00e1c l\u00e0 g\u00ec?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.ckconitsha.com\/vn\/ham-so-luong-giac-ly-thuyet-phuong-trinh-va-bai-tap-van-dung-hay\/#Cac_cong_thuc_ham_luong_giac_hoan_chinh_nhat\" >C\u00e1c c\u00f4ng th\u1ee9c h\u00e0m l\u01b0\u1ee3ng gi\u00e1c ho\u00e0n ch\u1ec9nh nh\u1ea5t<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.ckconitsha.com\/vn\/ham-so-luong-giac-ly-thuyet-phuong-trinh-va-bai-tap-van-dung-hay\/#Cong_thuc_chuc_nang_luong_giac_co_ban\" >C\u00f4ng th\u1ee9c ch\u1ee9c n\u0103ng l\u01b0\u1ee3ng gi\u00e1c c\u01a1 b\u1ea3n<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.ckconitsha.com\/vn\/ham-so-luong-giac-ly-thuyet-phuong-trinh-va-bai-tap-van-dung-hay\/#Cong_thuc_cong_voi_ham_luong_giac\" >C\u00f4ng th\u1ee9c c\u1ed9ng v\u1edbi h\u00e0m l\u01b0\u1ee3ng gi\u00e1c<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/www.ckconitsha.com\/vn\/ham-so-luong-giac-ly-thuyet-phuong-trinh-va-bai-tap-van-dung-hay\/#Cong_thuc_cung_cap_lien_quan_tren_vong_tron_luong_giac\" >C\u00f4ng th\u1ee9c cung c\u1ea5p li\u00ean quan tr\u00ean v\u00f2ng tr\u00f2n l\u01b0\u1ee3ng gi\u00e1c<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/www.ckconitsha.com\/vn\/ham-so-luong-giac-ly-thuyet-phuong-trinh-va-bai-tap-van-dung-hay\/#Cong_thuc\" >C\u00f4ng th\u1ee9c<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/www.ckconitsha.com\/vn\/ham-so-luong-giac-ly-thuyet-phuong-trinh-va-bai-tap-van-dung-hay\/#Cong_thuc_thap_hon_trong_cac_chuc_nang_luong_giac\" >C\u00f4ng th\u1ee9c th\u1ea5p h\u01a1n trong c\u00e1c ch\u1ee9c n\u0103ng l\u01b0\u1ee3ng gi\u00e1c<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/www.ckconitsha.com\/vn\/ham-so-luong-giac-ly-thuyet-phuong-trinh-va-bai-tap-van-dung-hay\/#Cong_thuc_cua_tong_thanh_tich\" >C\u00f4ng th\u1ee9c c\u1ee7a t\u1ed5ng th\u00e0nh t\u00edch<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/www.ckconitsha.com\/vn\/ham-so-luong-giac-ly-thuyet-phuong-trinh-va-bai-tap-van-dung-hay\/#Cong_thuc_bien_thanh_tong\" >C\u00f4ng th\u1ee9c bi\u1ebfn th\u00e0nh t\u1ed5ng<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/www.ckconitsha.com\/vn\/ham-so-luong-giac-ly-thuyet-phuong-trinh-va-bai-tap-van-dung-hay\/#Giai_phap_cua_phuong_trinh_luong_giac\" >Gi\u1ea3i ph\u00e1p c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh l\u01b0\u1ee3ng gi\u00e1c<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/www.ckconitsha.com\/vn\/ham-so-luong-giac-ly-thuyet-phuong-trinh-va-bai-tap-van-dung-hay\/#Cong_thuc_cua_cac_ham_luong_giac_va_phuong_trinh_luong_giac_co_ban_va_dac_biet\" >C\u00f4ng th\u1ee9c c\u1ee7a c\u00e1c h\u00e0m l\u01b0\u1ee3ng gi\u00e1c v\u00e0 ph\u01b0\u01a1ng tr\u00ecnh l\u01b0\u1ee3ng gi\u00e1c c\u01a1 b\u1ea3n v\u00e0 \u0111\u1eb7c bi\u1ec7t<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/www.ckconitsha.com\/vn\/ham-so-luong-giac-ly-thuyet-phuong-trinh-va-bai-tap-van-dung-hay\/#Phuong_trinh_luong_giac_co_ban_sin_x_sin_%CE%B1_sin_x_a\" >Ph\u01b0\u01a1ng tr\u00ecnh l\u01b0\u1ee3ng gi\u00e1c c\u01a1 b\u1ea3n sin x = sin \u03b1, sin x = a<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/www.ckconitsha.com\/vn\/ham-so-luong-giac-ly-thuyet-phuong-trinh-va-bai-tap-van-dung-hay\/#Phuong_trinh_cos_x_cos_%CE%B1_cos_x_a\" >Ph\u01b0\u01a1ng tr\u00ecnh cos x = cos \u03b1, cos x = a<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/www.ckconitsha.com\/vn\/ham-so-luong-giac-ly-thuyet-phuong-trinh-va-bai-tap-van-dung-hay\/#Phuong_trinh_hoa_tan_x_tan_%CE%B1_tan_x_a\" >Ph\u01b0\u01a1ng tr\u00ecnh h\u00f2a tan x = tan \u03b1, tan x = a<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-15\" href=\"https:\/\/www.ckconitsha.com\/vn\/ham-so-luong-giac-ly-thuyet-phuong-trinh-va-bai-tap-van-dung-hay\/#Phuong_trinh_cot_x_cot_%CE%B1_cot_x_a\" >Ph\u01b0\u01a1ng tr\u00ecnh cot x = cot \u03b1, cot x = a<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-16\" href=\"https:\/\/www.ckconitsha.com\/vn\/ham-so-luong-giac-ly-thuyet-phuong-trinh-va-bai-tap-van-dung-hay\/#Phuong_trinh_thu_nhat_cho_ham_luong_giac\" >Ph\u01b0\u01a1ng tr\u00ecnh th\u1ee9 nh\u1ea5t cho h\u00e0m l\u01b0\u1ee3ng gi\u00e1c<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-17\" href=\"https:\/\/www.ckconitsha.com\/vn\/ham-so-luong-giac-ly-thuyet-phuong-trinh-va-bai-tap-van-dung-hay\/#Chuc_nang_luong_giac_co_ban\" >Ch\u1ee9c n\u0103ng l\u01b0\u1ee3ng gi\u00e1c c\u01a1 b\u1ea3n<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-18\" href=\"https:\/\/www.ckconitsha.com\/vn\/ham-so-luong-giac-ly-thuyet-phuong-trinh-va-bai-tap-van-dung-hay\/#Cach_tinh_toan_gioi_han_ham_luong_giac_tot_nhat\" >C\u00e1ch t\u00ednh to\u00e1n gi\u1edbi h\u1ea1n h\u00e0m l\u01b0\u1ee3ng gi\u00e1c t\u1ed1t nh\u1ea5t<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-19\" href=\"https:\/\/www.ckconitsha.com\/vn\/ham-so-luong-giac-ly-thuyet-phuong-trinh-va-bai-tap-van-dung-hay\/#Cach_tinh_chu_ky_ham_luong_giac_nhat\" >C\u00e1ch t\u00ednh chu k\u1ef3 h\u00e0m l\u01b0\u1ee3ng gi\u00e1c nh\u1ea5t<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-20\" href=\"https:\/\/www.ckconitsha.com\/vn\/ham-so-luong-giac-ly-thuyet-phuong-trinh-va-bai-tap-van-dung-hay\/#Mot_so_bai_tap_tu_dong_ve_cac_chuc_nang_luong_giac\" >M\u1ed9t s\u1ed1 b\u00e0i t\u1eadp t\u1ef1 \u0111\u1ed9ng v\u1ec1 c\u00e1c ch\u1ee9c n\u0103ng l\u01b0\u1ee3ng gi\u00e1c<\/a><\/li><\/ul><\/nav><\/div>\n<\/p>\n<p>B\u00e0i vi\u1ebft n\u00e0y v\u1ec1 kh\u1ec9 s\u1ebd chia s\u1ebb chi ti\u1ebft v\u1ec1 ki\u1ebfn th\u1ee9c c\u01a1 b\u1ea3n \u0111\u1ebfn n\u00e2ng cao v\u1ec1 c\u00e1c h\u00e0m l\u01b0\u1ee3ng gi\u00e1c v\u00e0 ph\u01b0\u01a1ng tr\u00ecnh l\u01b0\u1ee3ng gi\u00e1c trong to\u00e1n h\u1ecdc. \u0110i\u1ec1u n\u00e0y s\u1ebd gi\u00fap b\u1ea1n d\u1ec5 d\u00e0ng t\u1ed5ng h\u1ee3p, c\u0169ng nh\u01b0 ghi nh\u1edb t\u1ed1t h\u01a1n ki\u1ebfn th\u1ee9c b\u1ea1n \u0111\u00e3 h\u1ecdc \u1edf tr\u01b0\u1eddng.<\/p>\n<p>                                    <img decoding=\"async\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/image\/600x480_(1).png\"><\/p>\n<h2 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Chuc_nang_luong_giac_la_gi\"><\/span>Ch\u1ee9c n\u0103ng l\u01b0\u1ee3ng gi\u00e1c l\u00e0 g\u00ec?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p class=\"\" data-start=\"0\" data-end=\"211\">C\u00e1c h\u00e0m l\u01b0\u1ee3ng gi\u00e1c l\u00e0 c\u00e1c h\u00e0m to\u00e1n h\u1ecdc m\u00f4 t\u1ea3 m\u1ed1i quan h\u1ec7 gi\u1eefa c\u00e1c g\u00f3c v\u00e0 c\u00e1c c\u1ea1nh c\u1ee7a tam gi\u00e1c vu\u00f4ng, v\u00e0 c\u0169ng \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng \u0111\u1ec3 m\u00f4 t\u1ea3 c\u00e1c hi\u1ec7n t\u01b0\u1ee3ng tu\u1ea7n ho\u00e0n trong nhi\u1ec1u l\u0129nh v\u1ef1c nh\u01b0 v\u1eadt l\u00fd, k\u1ef9 thu\u1eadt v\u00e0 s\u00f3ng.<\/p>\n<p>C\u00e1c h\u00e0m l\u01b0\u1ee3ng gi\u00e1c c\u01a1 b\u1ea3n bao g\u1ed3m:<\/p>\n<ol data-start=\"248\" data-end=\"654\">\n<li class=\"\" data-start=\"248\" data-end=\"302\">\n<p class=\"\" data-start=\"251\" data-end=\"302\">Sin (sinx) &#8211; t\u1ef7 l\u1ec7 gi\u1eefa \u0111\u1ed1i di\u1ec7n v\u00e0 c\u1ea1nh huy\u1ec1n tho\u1ea1i.<\/p>\n<\/li>\n<li class=\"\" data-start=\"303\" data-end=\"356\">\n<p class=\"\" data-start=\"306\" data-end=\"356\">COS (COSX) &#8211; T\u1ef7 l\u1ec7 gi\u1eefa c\u1ea1nh li\u1ec1n k\u1ec1 v\u00e0 c\u1ea1nh huy\u1ec1n tho\u1ea1i.<\/p>\n<\/li>\n<li class=\"\" data-start=\"357\" data-end=\"429\">\n<p class=\"\" data-start=\"360\" data-end=\"429\">Tan (tanx) &#8211; t\u1ef7 l\u1ec7 gi\u1eefa c\u00e1c c\u1ea1nh \u0111\u1ed1i di\u1ec7n v\u00e0 li\u1ec1n k\u1ec1 (tanx = sinx \/ cosx).<\/p>\n<\/li>\n<li class=\"\" data-start=\"430\" data-end=\"499\">\n<p class=\"\" data-start=\"433\" data-end=\"499\">COT (COTX) &#8211; T\u1ef7 l\u1ec7 gi\u1eefa c\u1ea1nh li\u1ec1n k\u1ec1 v\u00e0 c\u1ea1nh \u0111\u1ed1i di\u1ec7n (cotx = 1 \/ tanx).<\/p>\n<\/li>\n<li class=\"\" data-start=\"500\" data-end=\"571\">\n<p class=\"\" data-start=\"503\" data-end=\"571\">Sec (Secx) &#8211; T\u1ef7 l\u1ec7 gi\u1eefa c\u1ea1nh huy\u1ec1n tho\u1ea1i v\u00e0 c\u1ea1nh li\u1ec1n k\u1ec1 (secx = 1 \/ cosx).<\/p>\n<\/li>\n<li class=\"\" data-start=\"572\" data-end=\"654\">\n<p class=\"\" data-start=\"575\" data-end=\"654\">COSEC ho\u1eb7c CSC (CSCX) &#8211; T\u1ef7 l\u1ec7 gi\u1eefa truy\u1ec1n thuy\u1ebft v\u00e0 c\u1ea1nh \u0111\u1ed1i di\u1ec7n (CSCX = 1 \/ SINX).<\/p>\n<\/li>\n<\/ol>\n<p>T\u00ednh n\u0103ng chung c\u1ee7a c\u00e1c ch\u1ee9c n\u0103ng n\u00e0y l\u00e0:<\/p>\n<p dir=\"ltr\">\n<ul data-start=\"676\" data-end=\"931\">\n<li class=\"\" data-start=\"676\" data-end=\"757\">\n<p class=\"\" data-start=\"678\" data-end=\"757\">C\u00e1c ch\u1ee9c n\u0103ng n\u00e0y l\u00e0 theo chu k\u1ef3 (l\u1eb7p l\u1ea1i sau m\u1ed9t kho\u1ea3ng th\u1eddi gian nh\u1ea5t \u0111\u1ecbnh).<\/p>\n<\/li>\n<li class=\"\" data-start=\"758\" data-end=\"876\">\n<p class=\"\" data-start=\"760\" data-end=\"876\">C\u00f3 c\u00e1c mi\u1ec1n \u0111\u01b0\u1ee3c x\u00e1c \u0111\u1ecbnh, gi\u00e1 tr\u1ecb th\u1ef1c h\u00e0nh v\u00e0 c\u00e1c \u0111i\u1ec3m ch\u01b0a bi\u1ebft (v\u00ed d\u1ee5: TANX kh\u00f4ng \u0111\u01b0\u1ee3c x\u00e1c \u0111\u1ecbnh \u1edf x = \u03c0\/2 + k\u03c0).<\/p>\n<\/li>\n<li class=\"\" data-start=\"877\" data-end=\"931\">\n<p class=\"\" data-start=\"879\" data-end=\"931\">C\u00f3 m\u1ed9t bi\u1ec3u \u0111\u1ed3 ri\u00eang bi\u1ec7t, v\u1edbi h\u00ecnh d\u1ea1ng s\u00f3ng l\u01b0u h\u00e0nh.<\/p>\n<\/li>\n<\/ul>\n<h2 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Cac_cong_thuc_ham_luong_giac_hoan_chinh_nhat\"><\/span>C\u00e1c c\u00f4ng th\u1ee9c h\u00e0m l\u01b0\u1ee3ng gi\u00e1c ho\u00e0n ch\u1ec9nh nh\u1ea5t<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p dir=\"ltr\">Sau \u0111\u00e2y l\u00e0 c\u00e1c c\u00f4ng th\u1ee9c h\u00e0m l\u01b0\u1ee3ng gi\u00e1c m\u00e0 b\u1ea1n th\u01b0\u1eddng g\u1eb7p trong c\u00e1c k\u1ef3 thi, \u0111\u1eb7c bi\u1ec7t l\u00e0 k\u1ef3 thi c\u1ee7a tr\u01b0\u1eddng trung h\u1ecdc qu\u1ed1c gia.<\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Cong_thuc_chuc_nang_luong_giac_co_ban\"><\/span>C\u00f4ng th\u1ee9c ch\u1ee9c n\u0103ng l\u01b0\u1ee3ng gi\u00e1c c\u01a1 b\u1ea3n<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\"><img loading=\"lazy\" decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/1-ham-so-luong-giac.png\" alt=\"\" width=\"300\" height=\"235\"><\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Cong_thuc_cong_voi_ham_luong_giac\"><\/span>C\u00f4ng th\u1ee9c c\u1ed9ng v\u1edbi h\u00e0m l\u01b0\u1ee3ng gi\u00e1c<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\"><img loading=\"lazy\" decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/2-ham-so-luong-giac.png\" alt=\"\" width=\"300\" height=\"118\"><\/p>\n<p dir=\"ltr\">\u0110\u1ea7u \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng \u0111\u1ec3 nhanh ch\u00f3ng ghi nh\u1edb c\u00e1c c\u00f4ng th\u1ee9c c\u1ed9ng trong h\u00e0m l\u00e0 c\u00e2u n\u00f3i &#8220;t\u1ed9i l\u1ed7i, t\u1ed9i l\u1ed7i cos cos sin, cos, cos cos sin minus.<\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Cong_thuc_cung_cap_lien_quan_tren_vong_tron_luong_giac\"><\/span>C\u00f4ng th\u1ee9c cung c\u1ea5p li\u00ean quan tr\u00ean v\u00f2ng tr\u00f2n l\u01b0\u1ee3ng gi\u00e1c<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\">Hai g\u00f3c \u0111\u1ed1i di\u1ec7n:<\/p>\n<ul>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">cos (-x) = cos x<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">sin (-x) = -sin x<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">tan (-x) = -tan x<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">c\u0169i (-x) = -cot x<\/p>\n<\/li>\n<\/ul>\n<p dir=\"ltr\">Hai g\u00f3c b\u1ed3i th\u01b0\u1eddng:<\/p>\n<ul>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">sin (\u03c0 &#8211; x) = sin x<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">cos (\u03c0 &#8211; x) = -cos x<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">tan (\u03c0 &#8211; x) = -tan x<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">c\u0169i (\u03c0 &#8211; x) = -cot x<\/p>\n<\/li>\n<\/ul>\n<p dir=\"ltr\">Hai g\u00f3c b\u00ean:<\/p>\n<ul>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">sin (\u03c0\/2 &#8211; x) = cos x<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">cos (\u03c0\/2 &#8211; x) = sin x<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">tan (\u03c0\/2 &#8211; x) = cot x<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">c\u0169i (\u03c0\/2 &#8211; x) = tan x<\/p>\n<\/li>\n<\/ul>\n<p dir=\"ltr\">Hai g\u00f3c h\u01a1n \u03c0:<\/p>\n<ul>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">sin (\u03c0 + x) = -sine x<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">cos (\u03c0 + x) = -cos x<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">tan (\u03c0 + x) = tan x<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">c\u0169i (\u03c0 + x) = cot x<\/p>\n<\/li>\n<\/ul>\n<p dir=\"ltr\">Hai g\u00f3c t\u1ec7 h\u01a1n \u03c0\/2:<\/p>\n<ul>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">sin (\u03c0\/2 + x) = cos x<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">cos (\u03c0\/2 + x) = -sine x<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">tan (\u03c0\/2 + x) = -cot x<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">c\u0169i (\u03c0\/2 + x) = -tan x<\/p>\n<\/li>\n<\/ul>\n<p dir=\"ltr\">M\u1eb9o cho c\u00f4ng th\u1ee9c b\u1ed9 nh\u1edb nhanh nh\u01b0 sau: &#8220;COS \u0111\u1ed1i di\u1ec7n, xoang, ch\u00e9o th\u00eam, h\u00f2a tan h\u01a1n \u03c0.&#8221;<\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Cong_thuc\"><\/span>C\u00f4ng th\u1ee9c<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\"><img loading=\"lazy\" decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/3-ham-so-luong-giac.png\" alt=\"\" width=\"400\" height=\"512\"><\/p>\n<table style=\"border-collapse: collapse;width: 100.01%;background-color: #fbeeb8\" border=\"1\">\n<tr>\n<td style=\"width: 98.5932%;text-align: center\">\u0110\u1eebng b\u1ecf l\u1ee1 !! Ch\u01b0\u01a1ng tr\u00ecnh to\u00e1n h\u1ecdc b\u1eb1ng ti\u1ebfng Anh, gi\u00fap ph\u00e1t tri\u1ec3n t\u01b0 duy theo c\u00e1ch to\u00e0n di\u1ec7n nh\u1ea5t. Nh\u1eadn t\u1ed1i \u0111a 40% \u01b0u \u0111\u00e3i ngay t\u1ea1i \u0111\u00e2y!<img decoding=\"async\" style=\"margin-left: auto;margin-right: auto\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/taimienphiMM.png\" width=\"185\"><\/td>\n<\/tr>\n<\/table>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Cong_thuc_thap_hon_trong_cac_chuc_nang_luong_giac\"><\/span>C\u00f4ng th\u1ee9c th\u1ea5p h\u01a1n trong c\u00e1c ch\u1ee9c n\u0103ng l\u01b0\u1ee3ng gi\u00e1c<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\"><img loading=\"lazy\" decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/4-ham-so-luong-giac.png\" alt=\"\" width=\"232\" height=\"214\"><\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Cong_thuc_cua_tong_thanh_tich\"><\/span>C\u00f4ng th\u1ee9c c\u1ee7a t\u1ed5ng th\u00e0nh t\u00edch<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\"><img loading=\"lazy\" decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/5-ham-so-luong-giac.png\" alt=\"\" width=\"300\" height=\"192\"><\/p>\n<p dir=\"ltr\">C\u00e1c m\u1eb9o gi\u00fap d\u1ec5 d\u00e0ng ghi nh\u1edb c\u00f4ng th\u1ee9c: &#8220;cos c\u1ed9ng v\u1edbi cos b\u1eb1ng 2 cos cos, cos ngo\u1ea1i tr\u1eeb cos v\u1edbi 2 sin sin; sin sin b\u1eb1ng 2 sin cos, sin \u0111\u01b0\u1ee3c tr\u1eeb b\u1edfi 2 cos sin.&#8221;<\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Cong_thuc_bien_thanh_tong\"><\/span>C\u00f4ng th\u1ee9c bi\u1ebfn th\u00e0nh t\u1ed5ng<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\"><img loading=\"lazy\" decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/6-ham-so-luong-giac.png\" alt=\"\" width=\"400\" height=\"401\"><\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Giai_phap_cua_phuong_trinh_luong_giac\"><\/span>Gi\u1ea3i ph\u00e1p c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh l\u01b0\u1ee3ng gi\u00e1c<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\">Ph\u01b0\u01a1ng tr\u00ecnh l\u01b0\u1ee3ng gi\u00e1c c\u01a1 b\u1ea3n:<\/p>\n<p dir=\"ltr\"><img loading=\"lazy\" decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/7-ham-so-luong-giac.png\" alt=\"\" width=\"300\" height=\"154\"><\/p>\n<p dir=\"ltr\">Ph\u01b0\u01a1ng tr\u00ecnh l\u01b0\u1ee3ng gi\u00e1c trong c\u00e1c tr\u01b0\u1eddng h\u1ee3p \u0111\u1eb7c bi\u1ec7t:<\/p>\n<ul>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">t\u1ed9i l\u1ed7i a = 0 \u21d4 a = k\u03c0; (k \u2208 Z)<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">sin a = 1 \u21d4 a = \u03c0\/2 + k2\u03c0; (k \u2208 Z)<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">sin a = -1 \u21d4 a = -\u03c0\/2 + k2\u03c0; (k \u2208 Z)<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">cos a = 0 \u21d4 a = \u03c0\/2 + k\u03c0; (k \u2208 Z)<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">cos a = 1 \u21d4 a = k2\u03c0; (k \u2208 Z)<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">cos a = -1 \u21d4 a = \u03c0 + k2\u03c0; (k \u2208 Z)<\/p>\n<\/li>\n<\/ul>\n<p>Xem th\u00eam: Kh\u00e1i ni\u1ec7m v\u00e0 c\u00f4ng th\u1ee9c c\u1ee7a s\u1ed1 h\u1ee3p l\u00fd, s\u1ef1 kh\u00e1c bi\u1ec7t gi\u1eefa s\u1ed1 h\u1ee3p l\u00fd v\u00e0 s\u1ed1 l\u01b0\u1ee3ng kh\u00f4ng h\u1ee3p l\u00fd?<\/p>\n<h2 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Cong_thuc_cua_cac_ham_luong_giac_va_phuong_trinh_luong_giac_co_ban_va_dac_biet\"><\/span>C\u00f4ng th\u1ee9c c\u1ee7a c\u00e1c h\u00e0m l\u01b0\u1ee3ng gi\u00e1c v\u00e0 ph\u01b0\u01a1ng tr\u00ecnh l\u01b0\u1ee3ng gi\u00e1c c\u01a1 b\u1ea3n v\u00e0 \u0111\u1eb7c bi\u1ec7t<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Phuong_trinh_luong_giac_co_ban_sin_x_sin_%CE%B1_sin_x_a\"><\/span>Ph\u01b0\u01a1ng tr\u00ecnh l\u01b0\u1ee3ng gi\u00e1c c\u01a1 b\u1ea3n sin x = sin \u03b1, sin x = a<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\"><img loading=\"lazy\" decoding=\"async\" style=\"margin-left: auto;margin-right: auto\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/8-ham-so-luong-giac.png\" alt=\"\" width=\"300\" height=\"232\"><\/p>\n<p dir=\"ltr\">Ch\u1ee9c n\u0103ng l\u01b0\u1ee3ng gi\u00e1c c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh l\u01b0\u1ee3ng gi\u00e1c trong c\u00e1c tr\u01b0\u1eddng h\u1ee3p \u0111\u1eb7c bi\u1ec7t:<\/p>\n<p dir=\"ltr\"><img loading=\"lazy\" decoding=\"async\" style=\"margin-left: auto;margin-right: auto\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/9-ham-so-luong-giac..png\" alt=\"\" width=\"500\" height=\"182\"><\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Phuong_trinh_cos_x_cos_%CE%B1_cos_x_a\"><\/span>Ph\u01b0\u01a1ng tr\u00ecnh cos x = cos \u03b1, cos x = a<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\"><img loading=\"lazy\" decoding=\"async\" style=\"margin-left: auto;margin-right: auto\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/10-ham-so-luong-giac.png\" alt=\"\" width=\"300\" height=\"177\"><\/p>\n<p dir=\"ltr\">C\u00e1c tr\u01b0\u1eddng h\u1ee3p \u0111\u1eb7c bi\u1ec7t:<\/p>\n<p dir=\"ltr\"><img loading=\"lazy\" decoding=\"async\" style=\"margin-left: auto;margin-right: auto\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/11-ham-so-luong-giac.png\" alt=\"\" width=\"500\" height=\"111\"><\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Phuong_trinh_hoa_tan_x_tan_%CE%B1_tan_x_a\"><\/span>Ph\u01b0\u01a1ng tr\u00ecnh h\u00f2a tan x = tan \u03b1, tan x = a<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\"><img loading=\"lazy\" decoding=\"async\" style=\"margin-left: auto;margin-right: auto\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/12-ham-so-luong-giac.png\" alt=\"\" width=\"300\" height=\"178\"><\/p>\n<p dir=\"ltr\">C\u00e1c tr\u01b0\u1eddng h\u1ee3p \u0111\u1eb7c bi\u1ec7t:<\/p>\n<p dir=\"ltr\"><img loading=\"lazy\" decoding=\"async\" style=\"margin-left: auto;margin-right: auto\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/13-ham-so-luong-giac.png\" alt=\"\" width=\"250\" height=\"67\"><\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Phuong_trinh_cot_x_cot_%CE%B1_cot_x_a\"><\/span>Ph\u01b0\u01a1ng tr\u00ecnh cot x = cot \u03b1, cot x = a<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\"><img loading=\"lazy\" decoding=\"async\" style=\"margin-left: auto;margin-right: auto\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/14-ham-so-luong-giac.png\" alt=\"\" width=\"250\" height=\"75\"><\/p>\n<p dir=\"ltr\">C\u00e1c tr\u01b0\u1eddng h\u1ee3p \u0111\u1eb7c bi\u1ec7t:<\/p>\n<p dir=\"ltr\"><img loading=\"lazy\" decoding=\"async\" style=\"margin-left: auto;margin-right: auto\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/15-ham-so-luong-giac.png\" alt=\"\" width=\"250\" height=\"83\"><\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Phuong_trinh_thu_nhat_cho_ham_luong_giac\"><\/span>Ph\u01b0\u01a1ng tr\u00ecnh th\u1ee9 nh\u1ea5t cho h\u00e0m l\u01b0\u1ee3ng gi\u00e1c<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\">C\u00f3 d\u1ea1ng t\u1ea1i + b = 0 v\u1edbi a, b \u2208, a \u2260 0, v\u1edbi t l\u00e0 h\u00e0m l\u01b0\u1ee3ng gi\u00e1c. C\u00f4ng th\u1ee9c nh\u01b0 sau:<\/p>\n<p dir=\"ltr\"><img loading=\"lazy\" decoding=\"async\" style=\"margin-left: auto;margin-right: auto\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/16-ham-so-luong-giac.png\" alt=\"\" width=\"180\" height=\"60\"><\/p>\n<h2 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Chuc_nang_luong_giac_co_ban\"><\/span>Ch\u1ee9c n\u0103ng l\u01b0\u1ee3ng gi\u00e1c c\u01a1 b\u1ea3n<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p dir=\"ltr\">\u0110\u1ea1o h\u00e0m c\u1ee7a n\u1ed9i dung l\u01b0\u1ee3ng gi\u00e1c l\u00e0 ph\u01b0\u01a1ng ph\u00e1p to\u00e1n h\u1ecdc \u0111\u1ec3 t\u00ecm t\u1ed1c \u0111\u1ed9 thay \u0111\u1ed5i c\u1ee7a h\u00e0m l\u01b0\u1ee3ng gi\u00e1c theo bi\u1ebfn th\u1ec3 c\u1ee7a bi\u1ebfn. C\u00e1c h\u00e0m l\u01b0\u1ee3ng gi\u00e1c ph\u1ed5 bi\u1ebfn l\u00e0 sin (x), cos (x) v\u00e0 tan (x).<\/p>\n<p dir=\"ltr\"><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/17-ham-so-luong-giac.jpg\" alt=\"C\u00f4ng th\u1ee9c h\u00e0m l\u01b0\u1ee3ng gi\u00e1c c\u01a1 b\u1ea3n. (\u1ea2nh: giasuttv.net)\" width=\"100%\"><\/p>\n<p dir=\"ltr\">\n<h2 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Cach_tinh_toan_gioi_han_ham_luong_giac_tot_nhat\"><\/span>C\u00e1ch t\u00ednh to\u00e1n gi\u1edbi h\u1ea1n h\u00e0m l\u01b0\u1ee3ng gi\u00e1c t\u1ed1t nh\u1ea5t<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p dir=\"ltr\">\u00c1p d\u1ee5ng c\u00e1c gi\u1edbi h\u1ea1n \u0111\u1eb7c bi\u1ec7t: <img loading=\"lazy\" decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/18-ham-so-luong-giac.png\" alt=\"\" width=\"87\" height=\"47\"><\/p>\n<p dir=\"ltr\">C\u00e1c b\u01b0\u1edbc \u0111\u1ec3 t\u00ecm gi\u1edbi h\u1ea1n h\u00e0m l\u01b0\u1ee3ng gi\u00e1c c\u1ee7a <img loading=\"lazy\" decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/19-ham-so-luong-giac.png\" alt=\"\" width=\"75\" height=\"42\"> \u0110\u1ed1i v\u1edbi f (x) l\u00e0 m\u1ed9t h\u00e0m l\u01b0\u1ee3ng gi\u00e1c<\/p>\n<p dir=\"ltr\">B\u01b0\u1edbc 1: S\u1eed d\u1ee5ng c\u00e1c c\u00f4ng th\u1ee9c l\u01b0\u1ee3ng gi\u00e1c c\u01a1 b\u1ea3n, c\u00f4ng th\u1ee9c k\u00e9p, c\u1ed9ng v\u1edbi c\u00e1c c\u00f4ng th\u1ee9c, thay \u0111\u1ed5i c\u00f4ng th\u1ee9c, &#8230; \u0111\u1ec3 thay \u0111\u1ed5i h\u00e0m l\u01b0\u1ee3ng gi\u00e1c F (x) th\u00e0nh c\u00f9ng m\u1ed9t d\u1ea1ng gi\u1edbi h\u1ea1n \u0111\u1eb7c bi\u1ec7t \u1edf tr\u00ean.<\/p>\n<p dir=\"ltr\">B\u01b0\u1edbc 2: \u00c1p d\u1ee5ng \u0111\u1ecbnh l\u00fd v\u1ec1 gi\u1edbi h\u1ea1n \u0111\u1ec3 t\u00ecm gi\u1edbi h\u1ea1n \u0111\u00e3 cho.<\/p>\n<h2 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Cach_tinh_chu_ky_ham_luong_giac_nhat\"><\/span>C\u00e1ch t\u00ednh chu k\u1ef3 h\u00e0m l\u01b0\u1ee3ng gi\u00e1c nh\u1ea5t<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p dir=\"ltr\" role=\"presentation\">H\u00e0m y = f (x) \u0111\u01b0\u1ee3c x\u00e1c \u0111\u1ecbnh tr\u00ean t\u1eadp D \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 h\u00e0m l\u01b0u th\u00f4ng n\u1ebfu c\u00f3 t \u2260 0 sao cho t\u1ea5t c\u1ea3 x \u2208 D, ch\u00fang ta c\u00f3 x+t \u2208 D; XT \u2208 D v\u00e0 F (x+t) = f (x). N\u1ebfu s\u1ed1 d\u01b0\u01a1ng nh\u1ecf nh\u1ea5t th\u1ecfa m\u00e3n c\u00e1c \u0111i\u1ec1u ki\u1ec7n tr\u00ean, h\u00e0m \u0111\u00f3 \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 h\u00e0m tu\u1ea7n ho\u00e0n v\u1edbi th\u1eddi k\u1ef3 T.<\/p>\n<p dir=\"ltr\" role=\"presentation\">C\u00e1ch t\u00ecm chu k\u1ef3 c\u1ee7a h\u00e0m l\u01b0\u1ee3ng gi\u00e1c (n\u1ebfu c\u00f3):<\/p>\n<ul>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">H\u00e0m y = k.sin (ax+b) c\u00f3 chu k\u1ef3 t = 2\u03c0\/| A |<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">H\u00e0m y = k.cos (ax+ b) c\u00f3 chu k\u1ef3 t = 2\u03c0\/| A |<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">H\u00e0m y = k.tan (ax+ b) c\u00f3 chu k\u1ef3 t = \u03c0\/| A |<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">H\u00e0m y = kcot (ax+ b) c\u00f3 chu k\u1ef3: t = \u03c0\/| A |<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">H\u00e0m y = f (x) c\u00f3 chu k\u1ef3 t1; H\u00e0m T2 c\u00f3 kho\u1ea3ng th\u1eddi gian T2, chu k\u1ef3 c\u1ee7a h\u00e0m y = af (x)+ bg (x) l\u00e0 t = b\u1ed9i s\u1ed1 t\u1ed1i thi\u1ec3u c\u1ee7a t1 v\u00e0 t2<\/p>\n<\/li>\n<\/ul>\n<p dir=\"ltr\">B\u00e0i t\u1eadp m\u1eabu:<\/p>\n<p dir=\"ltr\" style=\"padding-left: 40px\">Trong c\u00e1c ch\u1ee9c n\u0103ng sau, h\u00e0m n\u00e0o l\u00e0 h\u00e0m l\u01b0u h\u00e0nh?<\/p>\n<p dir=\"ltr\" style=\"padding-left: 40px\">A. y = sinx- x<\/p>\n<p dir=\"ltr\" style=\"padding-left: 40px\">B. y = cosx<\/p>\n<p dir=\"ltr\" style=\"padding-left: 40px\">C. y = x.sin x<\/p>\n<p dir=\"ltr\" style=\"padding-left: 40px\">D. y = (x2+1)\/x<\/p>\n<p dir=\"ltr\">Tr\u1ea3 l\u1eddi: Ch\u1ecdn b<\/p>\n<p dir=\"ltr\" style=\"padding-left: 40px\">X\u00e1c \u0111\u1ecbnh b\u1ed9 ch\u1ee9c n\u0103ng: d = r.<\/p>\n<p dir=\"ltr\" style=\"padding-left: 40px\">T\u1ea5t c\u1ea3 x \u2208 D, k \u2208 Z ta c\u00f3 x-2k\u03c0 \u2208 D v\u00e0 x+2k\u03c0 \u2208 D, cos (x+2k\u03c0) = cosx.<\/p>\n<p dir=\"ltr\" style=\"padding-left: 40px\">V\u00ec v\u1eady, y = cosx l\u00e0 h\u00e0m l\u01b0u h\u00e0nh.<\/p>\n<h2 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Mot_so_bai_tap_tu_dong_ve_cac_chuc_nang_luong_giac\"><\/span>M\u1ed9t s\u1ed1 b\u00e0i t\u1eadp t\u1ef1 \u0111\u1ed9ng v\u1ec1 c\u00e1c ch\u1ee9c n\u0103ng l\u01b0\u1ee3ng gi\u00e1c<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p dir=\"ltr\"><img loading=\"lazy\" decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/ham.png\" alt=\"\" width=\"518\" height=\"547\"><\/p>\n<\/p>\n<p dir=\"ltr\">Tr\u00ean \u0111\u00e2y l\u00e0 t\u1ea5t c\u1ea3 c\u00e1c th\u00f4ng tin v\u1ec1 ch\u1ee9c n\u0103ng l\u01b0\u1ee3ng gi\u00e1c b\u1ea1n c\u1ea7n nh\u1edb. Hy v\u1ecdng r\u1eb1ng, v\u1edbi s\u1ef1 chia s\u1ebb th\u1ef1c t\u1ebf c\u1ee7a kh\u1ec9, n\u00f3 s\u1ebd gi\u00fap b\u1ea1n d\u1ec5 d\u00e0ng chinh ph\u1ee5c c\u00e1c c\u00e2u h\u1ecfi thi s\u1eafp t\u1edbi. Xin vui l\u00f2ng \u0111i c\u00f9ng b\u1ea1n.<\/p>\n<table style=\"border-collapse: collapse;width: 100.01%;background-color: #fbeeb8\" border=\"1\">\n<tr>\n<td style=\"width: 98.5932%;text-align: center\">\u0110\u1eebng b\u1ecf l\u1ee1 !! Ch\u01b0\u01a1ng tr\u00ecnh to\u00e1n h\u1ecdc b\u1eb1ng ti\u1ebfng Anh, gi\u00fap ph\u00e1t tri\u1ec3n t\u01b0 duy theo c\u00e1ch to\u00e0n di\u1ec7n nh\u1ea5t. Nh\u1eadn t\u1ed1i \u0111a 40% \u01b0u \u0111\u00e3i ngay t\u1ea1i \u0111\u00e2y!<img decoding=\"async\" style=\"margin-left: auto;margin-right: auto\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/taimienphiMM.png\" width=\"185\"><\/td>\n<\/tr>\n<\/table>\n<p>Ngu\u1ed3n: <a href=\"http:\/\/www.ckconitsha.com\/vn\/\">http:\/\/www.ckconitsha.com\/vn\/<\/a> T\u00e1c gi\u1ea3: <a href=\"https:\/\/www.ckconitsha.com\/vn\/author\/nguyenlandung\">Nguy\u1ec5n L\u00e2n d\u0169ng<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>B\u00e0i vi\u1ebft n\u00e0y v\u1ec1 kh\u1ec9 s\u1ebd chia s\u1ebb chi ti\u1ebft v\u1ec1 ki\u1ebfn th\u1ee9c c\u01a1 b\u1ea3n \u0111\u1ebfn n\u00e2ng cao v\u1ec1 c\u00e1c h\u00e0m l\u01b0\u1ee3ng gi\u00e1c v\u00e0 ph\u01b0\u01a1ng tr\u00ecnh l\u01b0\u1ee3ng gi\u00e1c trong to\u00e1n h\u1ecdc. \u0110i\u1ec1u n\u00e0y s\u1ebd gi\u00fap b\u1ea1n d\u1ec5 d\u00e0ng t\u1ed5ng h\u1ee3p, c\u0169ng nh\u01b0 ghi nh\u1edb t\u1ed1t h\u01a1n ki\u1ebfn th\u1ee9c b\u1ea1n \u0111\u00e3 h\u1ecdc \u1edf tr\u01b0\u1eddng. Ch\u1ee9c n\u0103ng&#8230;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[100],"tags":[],"class_list":["post-37802","post","type-post","status-publish","format-standard","hentry","category-kien-thuc"],"_links":{"self":[{"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/posts\/37802","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/comments?post=37802"}],"version-history":[{"count":2,"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/posts\/37802\/revisions"}],"predecessor-version":[{"id":37830,"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/posts\/37802\/revisions\/37830"}],"wp:attachment":[{"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/media?parent=37802"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/categories?post=37802"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/tags?post=37802"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}