{"id":567211,"date":"2026-07-22T09:24:54","date_gmt":"2026-07-22T02:24:54","guid":{"rendered":"https:\/\/hoanghamobile.com\/tin-tuc\/?p=567211"},"modified":"2026-07-22T10:36:16","modified_gmt":"2026-07-22T03:36:16","slug":"phuong-trinh-luong-giac","status":"publish","type":"post","link":"https:\/\/hoanghamobile.com\/tin-tuc\/phuong-trinh-luong-giac\/","title":{"rendered":"Ph\u01b0\u01a1ng tr\u00ecnh l\u01b0\u1ee3ng gi\u00e1c c\u01a1 b\u1ea3n: c\u00f4ng th\u1ee9c nghi\u1ec7m v\u00e0 v\u00ed d\u1ee5"},"content":{"rendered":"<p>Ph\u01b0\u01a1ng tr\u00ecnh l\u01b0\u1ee3ng gi\u00e1c c\u01a1 b\u1ea3n l\u00e0 nh\u1eefng ph\u01b0\u01a1ng tr\u00ecnh c\u00f3 d\u1ea1ng sinx = a, cosx = a, tanx = a ho\u1eb7c cotx = a, trong \u0111\u00f3 nghi\u1ec7m th\u01b0\u1eddng \u0111\u01b0\u1ee3c bi\u1ec3u di\u1ec5n b\u1eb1ng c\u00f4ng th\u1ee9c t\u1ed5ng qu\u00e1t v\u1edbi tham s\u1ed1 nguy\u00ean k. \u0110\u00e2y l\u00e0 ki\u1ebfn th\u1ee9c quan tr\u1ecdng trong ch\u01b0\u01a1ng tr\u00ecnh \u0110\u1ea1i s\u1ed1 \u2013 Gi\u1ea3i t\u00edch l\u1edbp 11. B\u00e0i vi\u1ebft n\u00e0y s\u1ebd tr\u00ecnh b\u00e0y ph\u01b0\u01a1ng tr\u00ecnh l\u01b0\u1ee3ng gi\u00e1c c\u01a1 b\u1ea3n l\u00e0 g\u00ec, c\u00f4ng th\u1ee9c nghi\u1ec7m c\u1ee7a t\u1eebng d\u1ea1ng, c\u00e1c tr\u01b0\u1eddng h\u1ee3p \u0111\u1eb7c bi\u1ec7t, v\u00ed d\u1ee5 v\u00e0 m\u1ed9t s\u1ed1 b\u00e0i t\u1eadp v\u1eadn d\u1ee5ng c\u00f3 l\u1eddi gi\u1ea3i chi ti\u1ebft.<\/p>\n<h2>Ph\u01b0\u01a1ng tr\u00ecnh l\u01b0\u1ee3ng gi\u00e1c c\u01a1 b\u1ea3n l\u00e0 g\u00ec?<\/h2>\n<p>Ph\u01b0\u01a1ng tr\u00ecnh l\u01b0\u1ee3ng gi\u00e1c c\u01a1 b\u1ea3n l\u00e0 nh\u1eefng ph\u01b0\u01a1ng tr\u00ecnh ch\u1ee9a m\u1ed9t h\u00e0m s\u1ed1 l\u01b0\u1ee3ng gi\u00e1c c\u1ee7a \u1ea9n s\u1ed1, g\u1ed3m b\u1ed1n d\u1ea1ng: sinx = a, cosx = a, tanx = a v\u00e0 cotx = a. Gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh l\u01b0\u1ee3ng gi\u00e1c l\u00e0 t\u00ecm t\u1ea5t c\u1ea3 c\u00e1c gi\u00e1 tr\u1ecb c\u1ee7a x th\u1ecfa m\u00e3n ph\u01b0\u01a1ng tr\u00ecnh; do t\u00ednh tu\u1ea7n ho\u00e0n c\u1ee7a c\u00e1c h\u00e0m l\u01b0\u1ee3ng gi\u00e1c, nghi\u1ec7m th\u01b0\u1eddng \u0111\u01b0\u1ee3c vi\u1ebft d\u01b0\u1edbi d\u1ea1ng t\u1ed5ng qu\u00e1t v\u1edbi tham s\u1ed1 nguy\u00ean k.<\/p>\n<p><img fetchpriority=\"high\" decoding=\"async\" class=\"size-full wp-image-568327 aligncenter\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/phuong-trinh-luong-giac-1.jpg\" alt=\"phuong-trinh-luong-giac-1\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/phuong-trinh-luong-giac-1.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/phuong-trinh-luong-giac-1-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/phuong-trinh-luong-giac-1-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2>C\u00f4ng th\u1ee9c nghi\u1ec7m c\u1ee7a c\u00e1c ph\u01b0\u01a1ng tr\u00ecnh c\u01a1 b\u1ea3n<\/h2>\n<table>\n<thead>\n<tr>\n<th>Ph\u01b0\u01a1ng tr\u00ecnh<\/th>\n<th>C\u00f4ng th\u1ee9c nghi\u1ec7m<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>sinx = sin\u03b1<\/td>\n<td>x = \u03b1 + k2\u03c0 ho\u1eb7c x = \u03c0 \u2212 \u03b1 + k2\u03c0<\/td>\n<\/tr>\n<tr>\n<td>cosx = cos\u03b1<\/td>\n<td>x = \u03b1 + k2\u03c0 ho\u1eb7c x = \u2212\u03b1 + k2\u03c0<\/td>\n<\/tr>\n<tr>\n<td>tanx = tan\u03b1<\/td>\n<td>x = \u03b1 + k\u03c0<\/td>\n<\/tr>\n<tr>\n<td>cotx = cot\u03b1<\/td>\n<td>x = \u03b1 + k\u03c0<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Trong \u0111\u00f3 k l\u00e0 s\u1ed1 nguy\u00ean (k \u2208 \u2124). V\u1edbi ph\u01b0\u01a1ng tr\u00ecnh sinx = a ho\u1eb7c cosx = a, \u0111i\u1ec1u ki\u1ec7n c\u00f3 nghi\u1ec7m l\u00e0 |a| \u2264 1.<\/p>\n<p><strong>Xem th\u00eam: <a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/bat-phuong-trinh\/\">B\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh l\u00e0 g\u00ec? C\u00e1ch gi\u1ea3i v\u00e0 v\u00ed d\u1ee5 chi ti\u1ebft<\/a><\/strong><\/p>\n<h2>C\u00e1c tr\u01b0\u1eddng h\u1ee3p \u0111\u1eb7c bi\u1ec7t<\/h2>\n<ul>\n<li>sinx = 0 \u21d4 x = k\u03c0; sinx = 1 \u21d4 x = \u03c0\/2 + k2\u03c0; sinx = \u22121 \u21d4 x = \u2212\u03c0\/2 + k2\u03c0.<\/li>\n<li>cosx = 0 \u21d4 x = \u03c0\/2 + k\u03c0; cosx = 1 \u21d4 x = k2\u03c0; cosx = \u22121 \u21d4 x = \u03c0 + k2\u03c0.<\/li>\n<\/ul>\n<p>Ghi nh\u1edb c\u00e1c tr\u01b0\u1eddng h\u1ee3p \u0111\u1eb7c bi\u1ec7t n\u00e0y gi\u00fap gi\u1ea3i nhanh nhi\u1ec1u ph\u01b0\u01a1ng tr\u00ecnh m\u00e0 kh\u00f4ng c\u1ea7n \u0111\u01b0a v\u1ec1 d\u1ea1ng t\u1ed5ng qu\u00e1t.<\/p>\n<p><img decoding=\"async\" class=\"size-full wp-image-568328 aligncenter\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/phuong-trinh-luong-giac-2.jpg\" alt=\"phuong-trinh-luong-giac-2\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/phuong-trinh-luong-giac-2.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/phuong-trinh-luong-giac-2-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/phuong-trinh-luong-giac-2-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2>V\u00ed d\u1ee5 gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh l\u01b0\u1ee3ng gi\u00e1c<\/h2>\n<ul>\n<li>V\u00ed d\u1ee5 1: Gi\u1ea3i sinx = 1\/2. V\u00ec 1\/2 = sin(\u03c0\/6) n\u00ean x = \u03c0\/6 + k2\u03c0 ho\u1eb7c x = \u03c0 \u2212 \u03c0\/6 + k2\u03c0 = 5\u03c0\/6 + k2\u03c0.<\/li>\n<li>V\u00ed d\u1ee5 2: Gi\u1ea3i cosx = 1\/2. V\u00ec 1\/2 = cos(\u03c0\/3) n\u00ean x = \u00b1\u03c0\/3 + k2\u03c0.<\/li>\n<\/ul>\n<h2>B\u00e0i t\u1eadp v\u1eadn d\u1ee5ng c\u00f3 l\u1eddi gi\u1ea3i<\/h2>\n<ul>\n<li>B\u00e0i 1: Gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh sinx = 0. <em>L\u1eddi gi\u1ea3i:<\/em> x = k\u03c0 (k \u2208 \u2124).<\/li>\n<li>B\u00e0i 2: Gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh cosx = \u22121. <em>L\u1eddi gi\u1ea3i:<\/em> x = \u03c0 + k2\u03c0 (k \u2208 \u2124).<\/li>\n<li>B\u00e0i 3: Gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh tanx = 1. <em>L\u1eddi gi\u1ea3i:<\/em> v\u00ec 1 = tan(\u03c0\/4) n\u00ean x = \u03c0\/4 + k\u03c0 (k \u2208 \u2124).<\/li>\n<li>B\u00e0i 4: Gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh cosx = 3. <em>L\u1eddi gi\u1ea3i:<\/em> v\u00ec |3| &gt; 1 n\u00ean ph\u01b0\u01a1ng tr\u00ecnh v\u00f4 nghi\u1ec7m.<\/li>\n<li>B\u00e0i 5 (tr\u1eafc nghi\u1ec7m): Nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh sinx = 1 l\u00e0 g\u00ec? A. x = k\u03c0 B. x = \u03c0\/2 + k2\u03c0 C. x = k2\u03c0 D. x = \u03c0 + k2\u03c0. <em>\u0110\u00e1p \u00e1n:<\/em> B.<\/li>\n<\/ul>\n<p><img decoding=\"async\" class=\"size-full wp-image-568329 aligncenter\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/phuong-trinh-luong-giac-3.jpg\" alt=\"phuong-trinh-luong-giac-3\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/phuong-trinh-luong-giac-3.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/phuong-trinh-luong-giac-3-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/phuong-trinh-luong-giac-3-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2>M\u1ed9t s\u1ed1 ph\u01b0\u01a1ng tr\u00ecnh l\u01b0\u1ee3ng gi\u00e1c th\u01b0\u1eddng g\u1eb7p<\/h2>\n<p>Ngo\u00e0i b\u1ed1n d\u1ea1ng c\u01a1 b\u1ea3n, h\u1ecdc sinh c\u00f2n th\u01b0\u1eddng g\u1eb7p m\u1ed9t s\u1ed1 d\u1ea1ng ph\u01b0\u01a1ng tr\u00ecnh l\u01b0\u1ee3ng gi\u00e1c kh\u00e1c nh\u01b0<\/p>\n<ul>\n<li>Ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc nh\u1ea5t \u0111\u1ed1i v\u1edbi m\u1ed9t h\u00e0m l\u01b0\u1ee3ng gi\u00e1c, ch\u1eb3ng h\u1ea1n 2sinx \u2212 1 = 0, c\u00f3 th\u1ec3 \u0111\u01b0a v\u1ec1 d\u1ea1ng sinx = 1\/2.<\/li>\n<li>Ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc hai \u0111\u1ed1i v\u1edbi m\u1ed9t h\u00e0m l\u01b0\u1ee3ng gi\u00e1c, ch\u1eb3ng h\u1ea1n 2sin\u00b2x \u2212 3sinx + 1 = 0, c\u00f3 th\u1ec3 gi\u1ea3i b\u1eb1ng c\u00e1ch \u0111\u1eb7t \u1ea9n ph\u1ee5 t = sinx.<\/li>\n<li>Ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc nh\u1ea5t \u0111\u1ed1i v\u1edbi sinx v\u00e0 cosx c\u00f3 d\u1ea1ng a\u00b7sinx + b\u00b7cosx = c.<\/li>\n<\/ul>\n<p>V\u1edbi c\u00e1c d\u1ea1ng n\u00e0y, ta th\u01b0\u1eddng bi\u1ebfn \u0111\u1ed5i ph\u01b0\u01a1ng tr\u00ecnh \u0111\u1ec3 \u0111\u01b0a v\u1ec1 m\u1ed9t trong b\u1ed1n d\u1ea1ng l\u01b0\u1ee3ng gi\u00e1c c\u01a1 b\u1ea3n r\u1ed3i \u00e1p d\u1ee5ng c\u00f4ng th\u1ee9c nghi\u1ec7m ph\u00f9 h\u1ee3p.<\/p>\n<h2>L\u01b0u \u00fd khi gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh l\u01b0\u1ee3ng gi\u00e1c<\/h2>\n<p>Khi gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh l\u01b0\u1ee3ng gi\u00e1c, c\u1ea7n ch\u00fa \u00fd ki\u1ec3m tra \u0111i\u1ec1u ki\u1ec7n c\u00f3 nghi\u1ec7m, \u0111\u1eb7c bi\u1ec7t v\u1edbi ph\u01b0\u01a1ng tr\u00ecnh sinx = a v\u00e0 cosx = a ph\u1ea3i c\u00f3 |a| \u2264 1. V\u1edbi ph\u01b0\u01a1ng tr\u00ecnh tanx = a v\u00e0 cotx = a, c\u1ea7n \u0111\u1ea3m b\u1ea3o \u0111i\u1ec1u ki\u1ec7n x\u00e1c \u0111\u1ecbnh, trong \u0111\u00f3 cosx \u2260 0 \u0111\u1ed1i v\u1edbi h\u00e0m tan v\u00e0 sinx \u2260 0 \u0111\u1ed1i v\u1edbi h\u00e0m cot.<\/p>\n<p>Ngo\u00e0i ra, khi vi\u1ebft nghi\u1ec7m t\u1ed5ng qu\u00e1t, c\u1ea7n lu\u00f4n ghi r\u00f5 tham s\u1ed1 k \u2208 \u2124. V\u1edbi nh\u1eefng ph\u01b0\u01a1ng tr\u00ecnh ph\u1ee9c t\u1ea1p h\u01a1n, ta th\u01b0\u1eddng bi\u1ebfn \u0111\u1ed5i \u0111\u1ec3 \u0111\u01b0a v\u1ec1 m\u1ed9t trong b\u1ed1n d\u1ea1ng c\u01a1 b\u1ea3n.<\/p>\n<p><strong>Xem th\u00eam: <a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/bat-phuong-trinh\/\">B\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh l\u00e0 g\u00ec? C\u00e1ch gi\u1ea3i v\u00e0 v\u00ed d\u1ee5 chi ti\u1ebft<\/a><\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-568330 aligncenter\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/phuong-trinh-luong-giac-4.jpg\" alt=\"phuong-trinh-luong-giac-4\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/phuong-trinh-luong-giac-4.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/phuong-trinh-luong-giac-4-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/phuong-trinh-luong-giac-4-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2>C\u00e2u h\u1ecfi th\u01b0\u1eddng g\u1eb7p v\u1ec1 ph\u01b0\u01a1ng tr\u00ecnh l\u01b0\u1ee3ng gi\u00e1c<\/h2>\n<h3>Ph\u01b0\u01a1ng tr\u00ecnh l\u01b0\u1ee3ng gi\u00e1c c\u01a1 b\u1ea3n g\u1ed3m nh\u1eefng d\u1ea1ng n\u00e0o?<\/h3>\n<p>G\u1ed3m b\u1ed1n d\u1ea1ng: sinx = a, cosx = a, tanx = a v\u00e0 cotx = a.<\/p>\n<h3>\u0110i\u1ec1u ki\u1ec7n \u0111\u1ec3 sinx = a c\u00f3 nghi\u1ec7m l\u00e0 g\u00ec?<\/h3>\n<p>Ph\u1ea3i c\u00f3 |a| \u2264 1; n\u1ebfu |a| &gt; 1 th\u00ec ph\u01b0\u01a1ng tr\u00ecnh v\u00f4 nghi\u1ec7m.<\/p>\n<h3>Nghi\u1ec7m c\u1ee7a sinx = sin\u03b1 l\u00e0 g\u00ec?<\/h3>\n<p>x = \u03b1 + k2\u03c0 ho\u1eb7c x = \u03c0 \u2212 \u03b1 + k2\u03c0 (k \u2208 \u2124).<\/p>\n<h3>Nghi\u1ec7m c\u1ee7a tanx = tan\u03b1 l\u00e0 g\u00ec?<\/h3>\n<p>x = \u03b1 + k\u03c0 (k \u2208 \u2124).<\/p>\n<h3>sinx = 0 c\u00f3 nghi\u1ec7m th\u1ebf n\u00e0o?<\/h3>\n<p>x = k\u03c0, v\u1edbi k l\u00e0 s\u1ed1 nguy\u00ean.<\/p>\n<h2>K\u1ebft lu\u1eadn<\/h2>\n<p>T\u00f3m l\u1ea1i, ph\u01b0\u01a1ng tr\u00ecnh l\u01b0\u1ee3ng gi\u00e1c c\u01a1 b\u1ea3n g\u1ed3m sinx = a, cosx = a, tanx = a, cotx = a v\u1edbi c\u00f4ng th\u1ee9c nghi\u1ec7m t\u1ed5ng qu\u00e1t k\u00e8m tham s\u1ed1 k. Ghi nh\u1edb \u0111i\u1ec1u ki\u1ec7n c\u00f3 nghi\u1ec7m v\u00e0 c\u00e1c tr\u01b0\u1eddng h\u1ee3p \u0111\u1eb7c bi\u1ec7t s\u1ebd gi\u00fap b\u1ea1n gi\u1ea3i nhanh v\u00e0 ch\u00ednh x\u00e1c. \u0110\u1ec3 h\u1ecdc th\u00eam, m\u1eddi b\u1ea1n tham kh\u1ea3o c\u00e1c b\u00e0i<strong> <a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/dien-tich-tam-giac\/\">c\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch tam gi\u00e1c<\/a>, <\/strong><a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/cach-tinh-dien-tich-tam-giac-vuong\/\"><strong>c\u00e1ch t\u00ednh di\u1ec7n t\u00edch tam gi\u00e1c vu\u00f4ng<\/strong><\/a> v\u00e0 <a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/cong-thuc-to-hop-chinh-hop\/\"><strong>c\u00f4ng th\u1ee9c t\u1ed5 h\u1ee3p, ch\u1ec9nh h\u1ee3p<\/strong><\/a> tr\u00ean chuy\u00ean m\u1ee5c tin t\u1ee9c c\u1ee7a <strong>Ho\u00e0ng H\u00e0 Mobile<\/strong>.<br \/>\n<script type=\"application\/ld+json\">{\"@context\":\"https:\/\/schema.org\",\"@type\":\"FAQPage\",\"mainEntity\":[{\"@type\":\"Question\",\"name\":\"Ph\u01b0\u01a1ng tr\u00ecnh l\u01b0\u1ee3ng gi\u00e1c c\u01a1 b\u1ea3n g\u1ed3m nh\u1eefng d\u1ea1ng n\u00e0o?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"G\u1ed3m b\u1ed1n d\u1ea1ng: sinx = a, cosx = a, tanx = a v\u00e0 cotx = a.\"}},{\"@type\":\"Question\",\"name\":\"\u0110i\u1ec1u ki\u1ec7n \u0111\u1ec3 sinx = a c\u00f3 nghi\u1ec7m l\u00e0 g\u00ec?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"Ph\u1ea3i c\u00f3 |a| \u2264 1; n\u1ebfu |a| > 1 th\u00ec ph\u01b0\u01a1ng tr\u00ecnh v\u00f4 nghi\u1ec7m.\"}},{\"@type\":\"Question\",\"name\":\"Nghi\u1ec7m c\u1ee7a sinx = sin\u03b1 l\u00e0 g\u00ec?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"x = \u03b1 + k2\u03c0 ho\u1eb7c x = \u03c0 \u2212 \u03b1 + k2\u03c0 (k \u2208 \u2124).\"}},{\"@type\":\"Question\",\"name\":\"Nghi\u1ec7m c\u1ee7a tanx = tan\u03b1 l\u00e0 g\u00ec?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"x = \u03b1 + k\u03c0 (k \u2208 \u2124).\"}},{\"@type\":\"Question\",\"name\":\"sinx = 0 c\u00f3 nghi\u1ec7m th\u1ebf n\u00e0o?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"x = k\u03c0, v\u1edbi k l\u00e0 s\u1ed1 nguy\u00ean.\"}}]}<\/script><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Ph\u01b0\u01a1ng tr\u00ecnh l\u01b0\u1ee3ng gi\u00e1c c\u01a1 b\u1ea3n l\u00e0 nh\u1eefng ph\u01b0\u01a1ng tr\u00ecnh c\u00f3 d\u1ea1ng sinx = a, cosx = a, tanx = a ho\u1eb7c cotx = a, trong \u0111\u00f3 nghi\u1ec7m th\u01b0\u1eddng \u0111\u01b0\u1ee3c bi\u1ec3u di\u1ec5n b\u1eb1ng c\u00f4ng th\u1ee9c t\u1ed5ng qu\u00e1t v\u1edbi tham s\u1ed1 nguy\u00ean k. \u0110\u00e2y l\u00e0 ki\u1ebfn th\u1ee9c quan tr\u1ecdng trong ch\u01b0\u01a1ng tr\u00ecnh \u0110\u1ea1i s\u1ed1 \u2013 Gi\u1ea3i [&hellip;]<\/p>\n","protected":false},"author":65,"featured_media":568326,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"ph\u01b0\u01a1ng tr\u00ecnh l\u01b0\u1ee3ng gi\u00e1c","_yoast_wpseo_title":"Ph\u01b0\u01a1ng tr\u00ecnh l\u01b0\u1ee3ng gi\u00e1c: c\u00f4ng th\u1ee9c nghi\u1ec7m","_yoast_wpseo_metadesc":"Ph\u01b0\u01a1ng tr\u00ecnh l\u01b0\u1ee3ng gi\u00e1c c\u01a1 b\u1ea3n g\u1ed3m sinx=a, cosx=a, tanx=a, cotx=a. T\u00ecm hi\u1ec3u c\u00f4ng th\u1ee9c nghi\u1ec7m, tr\u01b0\u1eddng h\u1ee3p \u0111\u1eb7c bi\u1ec7t k\u00e8m v\u00ed d\u1ee5 v\u00e0 b\u00e0i t\u1eadp c\u00f3 l\u1eddi gi\u1ea3i.","footnotes":""},"categories":[16],"tags":[],"class_list":["post-567211","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-thu-thuat"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v27.3 (Yoast SEO v27.4) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>Ph\u01b0\u01a1ng tr\u00ecnh l\u01b0\u1ee3ng gi\u00e1c: c\u00f4ng th\u1ee9c nghi\u1ec7m<\/title>\n<meta name=\"description\" content=\"Ph\u01b0\u01a1ng tr\u00ecnh l\u01b0\u1ee3ng gi\u00e1c c\u01a1 b\u1ea3n g\u1ed3m sinx=a, cosx=a, tanx=a, cotx=a. T\u00ecm hi\u1ec3u c\u00f4ng th\u1ee9c nghi\u1ec7m, tr\u01b0\u1eddng h\u1ee3p \u0111\u1eb7c bi\u1ec7t k\u00e8m v\u00ed d\u1ee5 v\u00e0 b\u00e0i t\u1eadp c\u00f3 l\u1eddi gi\u1ea3i.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/hoanghamobile.com\/tin-tuc\/phuong-trinh-luong-giac\/\" \/>\n<meta property=\"og:locale\" content=\"vi_VN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Ph\u01b0\u01a1ng tr\u00ecnh l\u01b0\u1ee3ng gi\u00e1c c\u01a1 b\u1ea3n: c\u00f4ng th\u1ee9c nghi\u1ec7m v\u00e0 v\u00ed d\u1ee5\" \/>\n<meta property=\"og:description\" content=\"Ph\u01b0\u01a1ng tr\u00ecnh l\u01b0\u1ee3ng gi\u00e1c c\u01a1 b\u1ea3n g\u1ed3m sinx=a, cosx=a, tanx=a, cotx=a. T\u00ecm hi\u1ec3u c\u00f4ng th\u1ee9c nghi\u1ec7m, tr\u01b0\u1eddng h\u1ee3p \u0111\u1eb7c bi\u1ec7t k\u00e8m v\u00ed d\u1ee5 v\u00e0 b\u00e0i t\u1eadp c\u00f3 l\u1eddi gi\u1ea3i.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/hoanghamobile.com\/tin-tuc\/phuong-trinh-luong-giac\/\" \/>\n<meta property=\"og:site_name\" content=\"Tin t\u1ee9c c\u00f4ng ngh\u1ec7 - HoangHaMobile\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/hoanghamobilecom\" \/>\n<meta property=\"article:author\" content=\"https:\/\/www.facebook.com\/hoanghamobilecom\" \/>\n<meta property=\"article:published_time\" content=\"2026-07-22T02:24:54+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2026-07-22T03:36:16+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/phuong-trinh-luong-giac.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"1200\" \/>\n\t<meta property=\"og:image:height\" content=\"628\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"author\" content=\"Vo Giang\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"\u0110\u01b0\u1ee3c vi\u1ebft b\u1edfi\" \/>\n\t<meta name=\"twitter:data1\" content=\"Vo Giang\" \/>\n\t<meta name=\"twitter:label2\" content=\"\u01af\u1edbc t\u00ednh th\u1eddi gian \u0111\u1ecdc\" \/>\n\t<meta name=\"twitter:data2\" content=\"7 ph\u00fat\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/hoanghamobile.com\\\/tin-tuc\\\/phuong-trinh-luong-giac\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/hoanghamobile.com\\\/tin-tuc\\\/phuong-trinh-luong-giac\\\/\"},\"author\":{\"name\":\"Vo Giang\",\"@id\":\"https:\\\/\\\/hoanghamobile.com\\\/tin-tuc\\\/#\\\/schema\\\/person\\\/72d0493d28396e6a0cdc358e9260c03c\"},\"headline\":\"Ph\u01b0\u01a1ng tr\u00ecnh l\u01b0\u1ee3ng gi\u00e1c c\u01a1 b\u1ea3n: c\u00f4ng th\u1ee9c nghi\u1ec7m v\u00e0 v\u00ed d\u1ee5\",\"datePublished\":\"2026-07-22T02:24:54+00:00\",\"dateModified\":\"2026-07-22T03:36:16+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/hoanghamobile.com\\\/tin-tuc\\\/phuong-trinh-luong-giac\\\/\"},\"wordCount\":1244,\"publisher\":{\"@id\":\"https:\\\/\\\/hoanghamobile.com\\\/tin-tuc\\\/#organization\"},\"image\":{\"@id\":\"https:\\\/\\\/hoanghamobile.com\\\/tin-tuc\\\/phuong-trinh-luong-giac\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/hoanghamobile.com\\\/tin-tuc\\\/wp-content\\\/uploads\\\/2026\\\/07\\\/phuong-trinh-luong-giac.jpg\",\"articleSection\":[\"Th\u1ee7 thu\u1eadt\"],\"inLanguage\":\"vi\",\"copyrightYear\":\"2026\",\"copyrightHolder\":{\"@id\":\"https:\\\/\\\/hoanghamobile.com\\\/tin-tuc\\\/#organization\"}},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/hoanghamobile.com\\\/tin-tuc\\\/phuong-trinh-luong-giac\\\/\",\"url\":\"https:\\\/\\\/hoanghamobile.com\\\/tin-tuc\\\/phuong-trinh-luong-giac\\\/\",\"name\":\"Ph\u01b0\u01a1ng tr\u00ecnh l\u01b0\u1ee3ng gi\u00e1c: c\u00f4ng th\u1ee9c nghi\u1ec7m\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/hoanghamobile.com\\\/tin-tuc\\\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\\\/\\\/hoanghamobile.com\\\/tin-tuc\\\/phuong-trinh-luong-giac\\\/#primaryimage\"},\"image\":{\"@id\":\"https:\\\/\\\/hoanghamobile.com\\\/tin-tuc\\\/phuong-trinh-luong-giac\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/hoanghamobile.com\\\/tin-tuc\\\/wp-content\\\/uploads\\\/2026\\\/07\\\/phuong-trinh-luong-giac.jpg\",\"datePublished\":\"2026-07-22T02:24:54+00:00\",\"dateModified\":\"2026-07-22T03:36:16+00:00\",\"description\":\"Ph\u01b0\u01a1ng tr\u00ecnh l\u01b0\u1ee3ng gi\u00e1c c\u01a1 b\u1ea3n g\u1ed3m sinx=a, cosx=a, tanx=a, cotx=a. 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