{"id":11092,"date":"2021-05-19T01:07:51","date_gmt":"2021-05-18T19:37:51","guid":{"rendered":"https:\/\/learnsteer.sasnaka.org\/science\/?p=11092"},"modified":"2022-01-27T01:43:16","modified_gmt":"2022-01-26T20:13:16","slug":"01-06","status":"publish","type":"post","link":"https:\/\/learnsteer.sasnaka.org\/science\/advanced-level-science\/01-06\/","title":{"rendered":"01.06.00 &#8211; \u0daf\u0dca\u0dc0\u0dd2\u0dad\u0dca\u0dc0, \u0dad\u0dca\u200d\u0dbb\u0dd2\u0dad\u0dca\u0dc0 \u0dc3\u0dc4 \u0db7\u0dcf\u0d9c \u0d9a\u0ddd\u0dab \u0dc3\u0dd6\u0dad\u0dca\u200d\u0dbb"},"content":{"rendered":"\r\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-block-buttons-is-layout-flex\">\r\n<div class=\"wp-block-button is-style-shadow\"><a class=\"wp-block-button__link\" style=\"border-radius: 15px\" href=\"https:\/\/drive.google.com\/uc?export=download&amp;id=1A9ZbwXTSWhIPQLu-o0sjwaBpMT_67P5j\" target=\"_blank\" rel=\"noreferrer noopener\">\u0db4\u0dcf\u0da9\u0db8\u0dda \u0dc3\u0da7\u0dc4\u0db1 Download \u0d9a\u0dbb\u0d9c\u0db1\u0dca\u0db1.<\/a><\/div>\r\n<\/div>\r\n\r\n\r\n\r\n<p><span class=\"has-inline-color\" style=\"color: #ff0000\"><strong>\u0dc3\u0d82\u0dba\u0dd4\u0d9a\u0dca\u0dad \u0d9c\u0dab\u0dd2\u0dad\u0dba I (\u0dc1\u0dd4\u0daf\u0dca\u0db0 \u0d9c\u0dab\u0dd2\u0dad\u0dba) \u0db4\u0dca\u200d\u0dbb\u0dc1\u0dca\u0db1 \u0db4\u0dad\u0dca\u200d\u0dbb\u0dba\u0dda A \u0d9a\u0ddc\u0da7\u0dc3\u0dda(\u0d9a\u0dd9\u0da7\u0dd2 \u0db4\u0dca\u200d\u0dbb\u0dc1\u0dca\u0db1) 10 \u0dc0\u0dd0\u0db1\u0dd2 \u0d9c\u0dd0\u0da7\u0dc5\u0dd4\u0dc0\u0dd9\u0dc4\u0dd2 \u0dc4\u0dcf B \u0d9a\u0ddc\u0da7\u0dc3\u0dda (\u0dbb\u0da0\u0db1\u0dcf \u0db4\u0dca\u200d\u0dbb\u0dc1\u0dca\u0db1)\u00a0 17 \u0d9c\u0dd0\u0da7\u0dbd\u0dd4\u0dc0\u0dda \u0d85\u0da9\u0d82\u0d9c\u0dd4 \u0dc0\u0db1\u0dca\u0db1\u0dda \u0db8\u0dd9\u0db8 \u0db4\u0dcf\u0da9\u0db8\u0dda \u0d85\u0da9\u0d82\u0d9c\u0dd4 \u0dc3\u0dd2\u0daf\u0dca\u0db0\u0dcf\u0db1\u0dca\u0dad \u0dc0\u0dda.<\/strong><\/span><\/p>\r\n\r\n\r\n\r\n<h2 class=\"wp-block-heading\"><strong>\u0daf\u0dca\u0dc0\u0dd2\u0dad\u0dca\u0dc0 \u0d9a\u0ddd\u0dab \u0dc3\u0dd6\u0dad\u0dca\u200d\u0dbb<\/strong><\/h2>\r\n\r\n\r\n\r\n<ul class=\"wp-block-list\">\r\n<li>sin 2A = 2 sin A cos A<\/li>\r\n<li>cos 2A = cos<sup>2<\/sup> A \u2013 sin<sup>2 <\/sup>A<\/li>\r\n<li>cos 2A = 2 cos<sup>2<\/sup> A \u2013 1<\/li>\r\n<li>cos 2A = 1 \u2013 2 sin<sup>2 <\/sup>A<\/li>\r\n<li><span class=\"wp-katex-eq\" data-display=\"false\">\\text{tan\u00a02A\u00a0=}\\frac{2\\;tan\\;A}{1-tan^2A}<\/span><\/li>\r\n<\/ul>\r\n\r\n\r\n\r\n<h3 class=\"wp-block-heading\"><strong>\u0daf\u0dca\u0dc0\u0dd2\u0dad\u0dca\u0dc0 \u0d9a\u0ddd\u0dab \u0dc3\u0dd6\u0dad\u0dca\u200d\u0dbb \u0d9c\u0ddc\u0da9\u0db1\u0dd0\u0d9c\u0dd4\u0db1\u0dd4 \u0d85\u0dba\u0dd4\u0dbb\u0dd4<\/strong><\/h3>\r\n\r\n\r\n\r\n<ol class=\"wp-block-list\" type=\"1\">\r\n<li><span class=\"wp-katex-eq\" data-display=\"false\">\\begin{array}{rcl}\\sin\\;2A\\;&amp;=&amp;\\;2\\;\\sin\\;A\\;\\cos\\;A\\\\\\sin\\;(A\\;+\\;B)\\;&amp;=&amp;\\;\\sin\\;A\\;\\cos\\;B\\;+\\;\\cos\\;A\\;\\sin\\;B\\\\\\sin\\;(A\\;+\\;A)\\;&amp;=&amp;\\;\\sin\\;A\\;\\cos\\;A\\;+\\;\\cos\\;A\\;\\sin\\;A\\\\\\sin\\;2A\\;&amp;=&amp;\\;2\\;\\sin\\;A\\;\\cos\\;A\\end{array}<\/span><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n<ol class=\"wp-block-list\" start=\"2\">\r\n<li><span class=\"wp-katex-eq\" data-display=\"false\">\\begin{array}{rcl}\\cos\\;2A\\;&amp;=&amp;\\;\\cos^2A\\;\u2013\\;\\sin^2A\\\\\\cos\\;(A\\;+\\;B)\\;&amp;=&amp;\\;\\cos\\;A\\;\\cos\\;B\\;\u2013\\;\\sin\\;A\\;\\sin\\;B\\\\\\cos\\;(A\\;+\\;A)\\;&amp;=&amp;\\;\\cos\\;A\\;\\cos\\;A\\;\u2013\\;\\sin\\;A\\;\\sin\\;A\\\\\\cos\\;2A\\;&amp;=&amp;\\;\\cos^2A\\;\u2013\\;\\sin^2A\\end{array}<\/span><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n<ol class=\"wp-block-list\" start=\"3\">\r\n<li><span class=\"wp-katex-eq\" data-display=\"false\">\\begin{array}{rcl}\\cos\\;2A\\;&amp;=&amp;\\;2\\;\\cos^2A\\;\u2013\\;1\\\\\\cos\\;2A\\;&amp;=&amp;\\;\\cos^2A\\;\u2013\\;\\sin^2A\\\\\\cos\\;2A\\;&amp;=&amp;\\;\\cos^2A\\;\u2013\\;(1\\;\u2013\\;\\cos^2A)\\\\\\cos\\;2A\\;&amp;=&amp;\\;\\cos^2A\\;\u2013\\;1\\;+\\;\\cos^2A\\\\\\cos\\;2A\\;&amp;=&amp;\\;2\\;\\cos^2A\\;\u2013\\;1\\;\\end{array}<\/span><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n<ol class=\"wp-block-list\" start=\"4\">\r\n<li><span class=\"wp-katex-eq\" data-display=\"false\">\\begin{array}{rcl}\\cos\\;2A\\;&amp;=&amp;\\;1\\;\u2013\\;2\\;\\sin^2A\\\\\\cos\\;2A\\;&amp;=&amp;\\;\\cos^2A\\;\u2013\\;\\sin^2A\\\\\\cos\\;2A\\;&amp;=&amp;\\;(1\\;\u2013\\;\\sin^2A)\\;\u2013\\;\\sin^2\\;A\\\\\\cos\\;2A\\;&amp;=&amp;\\;1\\;\u2013\\;2\\;\\sin^2A\\end{array}<\/span><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n<ol class=\"wp-block-list\" start=\"5\">\r\n<li><span class=\"wp-katex-eq\" data-display=\"false\">\\begin{array}{rcl}\\tan\\;2A\\;&amp;=&amp;\\;\\frac{2\\;\\tan A}{1\\;\u2013\\;\\tan^2A}\\\\[4px]\\tan\\;(A\\;+\\;B)\\;&amp;=&amp;\\;\\frac{\\tan\\;A\\;+\\;\\tan\\;B}{1\\;\u2013\\;\\tan\\;A\\;\\tan\\;B}\\\\[4px]\\tan\\;(A\\;+\\;A)\\;&amp;=&amp;\\;\\frac{\\tan\\;A\\;+\\;\\tan\\;A}{1\\;\u2013\\;\\tan\\;A\\;\\tan\\;A}\\\\[4px]\\tan\\;2A&amp;=&amp;\\;\\frac{2\\;\\tan\\;A}{1\\;\u2013\\;\\tan^2A}\\end{array}<\/span><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n<p><strong>\u0d8b\u0daf\u0dcf<\/strong>:<\/p>\r\n\r\n\r\n\r\n<ol class=\"wp-block-list\">\r\n<li>4 ( cos<sup>6 <\/sup>A \u2013 sin<sup>6 <\/sup>A ) = 3 cos 2A + cos<sup>3 <\/sup>2A<\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n<p class=\"has-text-align-center\"><span class=\"wp-katex-eq\" data-display=\"false\">\\begin{array}{rcl}R.H.S.\\;&amp;=&amp;\\;3\\;\\cos\\;2A\\;+\\;\\cos^32A\\\\&amp;=&amp;\\;3\\;(\\;\\cos^2A\\;\u2013\\;\\sin^2A)\\;+\\;(\\;\\cos^2A\\;\u2013\\;\\sin^2A)^3\\\\&amp;=&amp;\\;3\\;\\cos^2A\\;\u2013\\;3\\;\\sin^2A\\;+\\;\\cos^6A\\;\u2013\\;3\\;\\cos^4A\\;\\sin^2A\\;+\\;3\\;\\cos^2A\\;\\sin^4A\\;\u2013\\;\\sin^6A\\\\&amp;=&amp;\\;3\\;\\cos^2A\\;\u2013\\;3\\;\\sin^2A\\;+\\;\\cos^6A\\;\u2013\\;3\\;\\cos^4A\\;(1\\;\u2013\\;\\cos^2A)\\;+\\;3\\;\\sin^4A\\;(1\\;\u2013\\;\\sin^2A)\\;\u2013\\;\\sin^6A\\\\&amp;=&amp;\\;3\\;(\\cos^2A\\;\u2013\\;\\sin^2A)\\;\u2013\\;3\\;(\\cos^2A\\;\u2013\\;\\sin^2A)(\\;\\cos^2A\\;+\\;\\sin^2A)\\;+\\;4\\;(\\;\\cos^6A\\;\u2013\\;\\sin^6A\\;)\\\\&amp;=&amp;\\;3\\;(\\cos^2A\\;\u2013\\;\\sin^2A)\\;(1\\;-\\;1)\\;+\\;4\\;(\\;\\cos^6A\\;\u2013\\;\\sin^6A\\;)\\\\&amp;=&amp;\\;4\\;(\\;\\cos^6A\\;\u2013\\;\\sin^6A\\;)\\\\&amp;=&amp;\\;L.H.S.\\end{array}<\/span><\/p>\r\n\r\n\r\n\r\n<ol class=\"wp-block-list\" start=\"2\">\r\n<li>tan A = \u00be \u0dc3\u0dc4 A \u0dc3\u0dd4\u0dc5\u0dd4 \u0d9a\u0ddd\u0dab\u0dba\u0d9a\u0dca \u0db1\u0db8\u0dca, tan 2A , tan 4A \u0dc3\u0ddc\u0dba\u0db1\u0dca\u0db1.<\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n<p class=\"has-text-align-center\"><span class=\"wp-katex-eq\" data-display=\"false\">\\begin{array}{rcl}\\tan\\;2A\\;&amp;=&amp;\\frac{2\\;\\tan\\;A}{\\;1\\;\u2013\\;\\tan^2A}\\\\[4px]\\;&amp;=&amp;\\;\\frac{2\\;\\times\\;\\frac34}{1\\;-\\;\\frac9{16}}\\\\[4px]\\;&amp;=&amp;\\;\\frac32\\;\\times\\;\\frac{16}7\\\\[4px]\\;&amp;=&amp;\\;\\frac{24}7\\\\[8px]\\tan\\;4A\\;&amp;=&amp;\\frac{2\\;\\tan\\;2A}{\\;1\\;\u2013\\;\\tan^2\\;2A}\\\\[4px]\\;&amp;=&amp;\\;2\\left(\\frac{24}7\\right)\\times\\left(-\\frac{49}{527}\\right)\\\\[4px]\\;&amp;=&amp;\\;-\\frac{336}{527}\\end{array}<\/span><\/p>\r\n\r\n\r\n\r\n<ol class=\"wp-block-list\" start=\"3\">\r\n<li><span class=\"wp-katex-eq\" data-display=\"false\">\\begin{array}{rcl}\\sin\\;2A&amp;=&amp;\\frac{2\\;\\tan\\;A}{1+\\tan^2A}\\end{array}<\/span><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n<p class=\"has-text-align-center\"><span class=\"wp-katex-eq\" data-display=\"false\">\\begin{array}{rcl}R.H.S\\;&amp;=&amp;\\;\\frac{2\\;\\tan\\;A}{1+\\tan^2A}\\\\[4px]&amp;=&amp;\\;\\frac{2\\;\\left({\\frac{\\sin\\;A}{\\cos\\;A}}\\right)}{\\left[1+\\left({\\frac{\\sin^2A}{\\cos^2A}}\\right)\\right]}\\\\[4px]&amp;=&amp;\\;2\\;\\left(\\frac{\\sin\\;A}{\\cos\\;A}\\right)\\times\\cos^2A\\\\[4px]&amp;=&amp;\\;2\\;\\sin A\\cos A\\\\&amp;=&amp;\\;L.H.S\\end{array}<\/span><\/p>\r\n\r\n\r\n\r\n<ol class=\"wp-block-list\" start=\"4\">\r\n<li><span class=\"wp-katex-eq\" data-display=\"false\">\\begin{array}{rcl}\\cos\\;2A&amp;=&amp;\\frac{\\left(1-\\tan^2A\\right)}{\\left(1+\\tan^2A\\right)}\\end{array}<\/span><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n<p class=\"has-text-align-center\"><span class=\"wp-katex-eq\" data-display=\"false\">\\begin{array}{rcl}R.H.S\\;&amp;=&amp;\\frac{\\;\\left(1-\\tan^2A\\right)}{\\left(1+\\tan^2A\\right)}\\\\[4px]&amp;=&amp;\\frac{\\left[1-{\\frac{\\sin^2A}{\\cos^2A}}\\right]}{\\left[1+{\\frac{\\sin^2A}{\\cos^2A}}\\right]}\\\\[8px]&amp;=&amp;\\;\\cos^2A-\\sin^2A\\\\&amp;=&amp;\\;\\cos\\;2A\\\\&amp;=&amp;\\;L.H.S\\end{array}<\/span><\/p>\r\n\r\n\r\n\r\n<h2 class=\"wp-block-heading\"><strong>\u0dad\u0dca\u200d\u0dbb\u0dd2\u0dad\u0dca\u0dc0 \u0d9a\u0ddd\u0dab \u0dc3\u0dd6\u0dad\u0dca\u200d\u0dbb <\/strong><\/h2>\r\n\r\n\r\n\r\n<p class=\"has-text-align-center\"><span class=\"wp-katex-eq\" data-display=\"false\">\\begin{array}{rcl}\\sin\\;3A\\;&amp;=&amp;\\;3\\;\\sin\\;A\\;-\\;4\\;\\sin^3\\;A\\\\\\cos\\;3A\\;&amp;=&amp;\\;4\\;\\cos^3A\\;-\\;3\\;\\cos\\;A\\\\\\tan\\;3A\\;&amp;=&amp;\\;\\frac{3\\tan\\;A\\;\u2013\\;tan^3A}{1\\;\u2013\\;3\\;\\tan^2A}\\end{array}<\/span><\/p>\r\n\r\n\r\n\r\n<h3 class=\"wp-block-heading\"><strong>\u0dad\u0dca\u200d\u0dbb\u0dd2\u0dad\u0dca\u0dc0 \u0d9a\u0ddd\u0dab \u0dc3\u0dd6\u0dad\u0dca\u200d\u0dbb \u0d9c\u0ddc\u0da9\u0db1\u0dd0\u0d9c\u0dd4\u0db1\u0dd4 \u0d85\u0dba\u0dd4\u0dbb\u0dd4<\/strong><\/h3>\r\n\r\n\r\n\r\n<ol class=\"wp-block-list\">\r\n<li>sin 3A = 3 sin A \u2013 4 sin<sup>3 <\/sup>A<\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n<p class=\"has-text-align-center\"><span class=\"wp-katex-eq\" data-display=\"false\">\\begin{array}{rcl}\\sin\\;\\left(A\\;+\\;B\\right)\\;&amp;=&amp;\\;\\sin\\;A\\;\\cos\\;B\\;+\\;\\cos\\;A\\;\\sin\\;B\\\\\\sin\\;\\left(A\\;+\\;2A\\right)\\;&amp;=&amp;\\;\\sin\\;A\\;\\cos\\;2A\\;+\\;\\cos\\;A\\;\\sin\\;2A\\\\\\sin\\;3A\\;&amp;=&amp;\\;\\sin\\;A\\;(1\\;\u2013\\;2\\;\\sin^2A)\\;+\\;\\cos\\;A\\;\\cdot\\;2\\;\\sin\\;A\\;\\cos\\;A\\\\&amp;=&amp;\\;\\sin\\;A\\;\u2013\\;2\\;\\sin^3A\\;+\\;2\\;\\sin\\;A\\;(\\;1\\;\u2013\\;\\sin^2A\\;)\\\\&amp;=&amp;\\;\\sin\\;A\\;\u2013\\;2\\;\\sin^3A\\;+\\;2\\;\\sin\\;A\\;\u2013\\;2\\;\\sin^3A\\\\&amp;=&amp;\\;3\\;\\sin\\;A\\;\u2013\\;4\\;\\sin^3A\\end{array}<\/span><\/p>\r\n\r\n\r\n\r\n<ol class=\"wp-block-list\" start=\"2\">\r\n<li>cos 3A = 4 cos<sup>3 <\/sup>A \u2013 3 cos A<\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n<p class=\"has-text-align-center\"><span class=\"wp-katex-eq\" data-display=\"false\">\\begin{array}{rcl}\\cos\\;\\left(A\\;+\\;B\\right)\\;&amp;=&amp;\\;\\cos\\;A\\;\\cos\\;B\\;+\\;\\sin\\;A\\;\\sin\\;B\\\\\\cos\\;\\left(A\\;+\\;2A\\right)\\;&amp;=&amp;\\;\\cos\\;A\\;\\cos\\;2A\\;+\\;\\sin\\;A\\;\\sin\\;2A\\\\\\cos\\;3A\\;&amp;=&amp;\\;\\cos\\;A\\;(2\\;\\cos^2A\\;-\\;1)\\;+\\;\\sin\\;A\\;\\cdot\\;2\\;\\sin\\;A\\;\\cos\\;A\\\\&amp;=&amp;\\;2\\;\\cos^3A\\;-\\;\\cos\\;A\\;+\\;2\\;\\cos\\;A\\;(\\;1\\;\u2013\\;\\cos^2A\\;)\\\\&amp;=&amp;\\;2\\;\\cos^3A\\;-\\;\\cos\\;A\\;\u2013\\;2\\;\\cos\\;A\\;+\\;2\\;\\cos^3A\\\\&amp;=&amp;\\;4\\;\\cos^3A\\;-\\;3\\;\\cos\\;A\\;\\end{array}<\/span><\/p>\r\n\r\n\r\n\r\n<ol class=\"wp-block-list\" start=\"3\">\r\n<li><span class=\"wp-katex-eq\" data-display=\"false\">\\tan\\;3A\\;=\\;\\frac{3\\;\\tan\\;A-\\tan^3A}{1\\;\u2013\\;3\\;\\tan^2A}<\/span><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n<p class=\"has-text-align-center\"><span class=\"wp-katex-eq\" data-display=\"false\">\\begin{array}{rcl}\\tan\\;(A+B)&amp;=&amp;\\frac{\\left(\\tan\\;A\\;+\\;\\tan\\;B\\right)}{\\left(1\\;-\\;\\tan\\;A\\;\\tan\\;B\\right)}\\\\[4px]\\tan\\;(A+2A)&amp;=&amp;\\frac{(\\tan\\;A\\;+\\;\\tan\\;2A)}{\\left(1\\;-\\;\\tan\\;A\\;\\tan2A\\right)}\\\\[4px]\\tan\\;3A&amp;=&amp;\\frac{\\left[\\frac{\\tan\\;A+2\\;\\tan\\;A}{\\left(1-\\tan^2A\\right)}\\right]}{\\left[{\\displaystyle\\frac{1-\\tan\\;A\\;\\tan\\;2A}{\\left(1-\\tan^2A\\right)}}\\right]}\\\\[4px]&amp;=&amp;\\frac{\\left[\\tan\\;A-\\tan^3A+2\\;\\tan\\;A\\right]}{\\left[1-\\tan^2A-2\\;\\tan^{3\\;}A\\right]}\\\\[4px]&amp;=&amp;\\frac{\\left(3\\;\\tan\\;A-\\tan^3A\\right)}{\\left(1-3\\;\\tan^3A\\right)}\\end{array}<\/span><\/p>\r\n\r\n\r\n\r\n<h3 class=\"wp-block-heading\"><strong>\u0d8b\u0daf\u0dcf\u0dc4\u0dbb\u0dab \u0d9c\u0dd0\u0da7\u0dc5\u0dd4 <\/strong><\/h3>\r\n\r\n\r\n\r\n<ol class=\"wp-block-list\">\r\n<li>cos 6A= 32 cos<sup>6 <\/sup>A \u2013 48 cos<sup>4<\/sup> A + 18 cos<sup>2<\/sup> A \u2013 1<\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n<span class=\"wp-katex-eq\" data-display=\"false\">\\begin{array}{rcl}L.H.S.\\;&amp;=&amp;\\;\\cos\\;6A\\\\&amp;=&amp;\\;2\\;\\cos^2\\;3A\\;-\\;1\\\\&amp;=&amp;\\;2\\;\\left(\\;4\\;\\cos^3A\\;\u2013\\;3\\;\\cos\\;A\\;\\right)^2\\;\u2013\\;1\\\\&amp;=&amp;\\;2\\;\\left(\\;16\\;\\cos^6A\\;\u2013\\;24\\;\\cos^4A\\;+\\;9\\;\\cos^2A\\;\\right)\\;\u2013\\;1\\\\&amp;=&amp;\\;32\\;\\cos^6A\\;\u2013\\;48\\;\\cos^4A\\;+\\;18\\;\\cos^2A\\;\u2013\\;1\\end{array}<\/span>\r\n\r\n\r\n\r\n<h4 class=\"wp-block-heading\">2. tan 3A tan 2A tan A = tan 3A \u2013 tan 2A \u2013 tan A<\/h4>\r\n\r\n\r\n\r\n<p class=\"has-text-align-center\"><span class=\"wp-katex-eq\" data-display=\"false\">\\begin{array}{rcl}\\tan\\;3A&amp;=&amp;\\frac{\\left(\\tan\\;A\\;+\\;\\tan\\;2A\\right)}{\\left(1-\\tan\\;A\\;\\tan\\;2A\\right)}\\\\[4px]\\tan\\;3A\\;\\left(\\;1\\;\u2013\\;\\tan\\;A\\;\\tan\\;2A\\;\\right)\\;&amp;=&amp;\\;\\tan\\;A\\;+\\;\\tan\\;2A\\\\\\tan\\;3A\\;\u2013\\;\\tan\\;A\\;\\tan\\;2A\\;\\tan\\;3A\\;&amp;=&amp;\\;\\tan\\;A\\;+\\;\\tan\\;2A\\\\\\tan\\;3A\\;\\tan\\;2A\\;\\tan\\;A\\;&amp;=&amp;\\;\\tan\\;3A\\;\u2013\\;\\tan\\;2A\\;\u2013\\;\\tan\\;A\\end{array}<\/span><\/p>\r\n\r\n\r\n\r\n<h2 class=\"wp-block-heading\"><strong>\u0d85\u0dbb\u0dca\u0db0 \u0d9a\u0ddd\u0dab \u0dc3\u0dd6\u0dad\u0dca\u200d\u0dbb<\/strong><\/h2>\r\n\r\n\r\n\r\n<p class=\"has-text-align-center\"><span class=\"wp-katex-eq\" data-display=\"false\">\\begin{array}{l}\\sin\\;A=\\frac{2\\;\\tan(A\/2)}{\\left[1+\\tan^2(A\/2)\\right]}\\\\\\\\\\cos\\;A=\\frac{\\left[1-\\;\\tan^2(A\/2)\\right]}{\\left[1+\\tan^2(A\/2)\\right]}\\\\\\\\\\tan\\;A\\;=\\frac{2\\;\\tan\\;(A\/2)}{\\left[1-\\tan^2(A\/2)\\right]}\\end{array}<\/span><\/p>\r\n\r\n\r\n\r\n<p class=\"has-text-align-center\">1 \u2013 cos A = 2 sin<sup>2 <\/sup>(A\/2)<\/p>\r\n\r\n\r\n\r\n<p class=\"has-text-align-center\">1 + cos A = 2 cos<sup>2 <\/sup>(A\/2)<\/p>\r\n\r\n\r\n\r\n<p>t = tan (A\/2) \u0d86\u0daf\u0dda\u0dc1\u0dba \u0db7\u0dcf\u0dc0\u0dd2\u0dad\u0dba\u0dd9\u0db1\u0dca \u0d9c\u0dab\u0dd2\u0dad \u0d9c\u0dd0\u0da7\u0dc5\u0dd4 \u0dc0\u0dd2\u0dc3\u0daf\u0dd3\u0db8 \u0dc0\u0da9\u0dcf\u0dad\u0dca \u0db4\u0dc4\u0dc3\u0dd4 \u0d9a\u0dca\u200d\u0dbb\u0db8\u0dc0\u0dda\u0daf\u0dba\u0d9a\u0dd2.<\/p>\r\n\r\n\r\n\r\n<p class=\"has-text-align-center\"><span class=\"wp-katex-eq\" data-display=\"false\">\\begin{array}{rcl}\\sin\\;A\\;&amp;=&amp;\\frac{2t}{(1+t^2)}\\\\[4px]\\cos\\;A\\;&amp;=&amp;\\frac{\\left(1-t^2\\right)}{\\left(1+t^2\\right)}\\\\[4px]\\tan\\;A\\;&amp;=&amp;\\;\\frac{2t}{\\left(1-t^2\\right)}\\end{array}<\/span><\/p>\r\n\r\n\r\n\r\n<p>\u0d8b\u0daf\u0dcf:<\/p>\r\n\r\n\r\n\r\n<ol class=\"wp-block-list\">\r\n<li>0<sup>0 <\/sup>\u0dc4\u0dcf 360<sup>0 <\/sup>\u0d85\u0dad\u0dbb \u0d9a\u0ddd\u0dab \u0dc3\u0daf\u0dc4\u0dcf sin A + 2 cos A = 1 \u0dc3\u0db8\u0dd3\u0d9a\u0dbb\u0dab\u0dba \u0dc0\u0dd2\u0dc3\u0daf\u0db1\u0dca\u0db1.<\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n<p class=\"has-text-align-center\">\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<span class=\"wp-katex-eq\" data-display=\"false\">\\begin{array}{rcl}\\sin\\;A\\;+\\;2\\;\\cos\\;A\\;&amp;=&amp;\\;1\\\\\\frac{2t}{\\left(1+t^2\\right)}+\\frac{2\\left(1-t^2\\right)}{\\left(1+t^2\\right)}\\;&amp;=&amp;\\;1\\;;\\;\\;\\;\\;\\;\\;\\;\\text{\u0db8\u0dd9\u0dc4\u0dd2}\\;t\\;=\\;\\tan\\;\\frac A2\\text{\u0dc0\u0dda.}\\\\[4px]2\\;t\\;+\\;2\\;\u2013\\;2\\;t^2\\;&amp;=&amp;\\;1\\;+\\;t^2\\\\3\\;t^2\\;\u2013\\;2\\;t\\;\u2013\\;1\\;&amp;=&amp;\\;0\\\\\\left(\\;3t\\;+\\;1\\;\\right)\\left(\\;t\\;-\\;1\\;\\right)\\;&amp;=&amp;\\;0\\end{array}<\/span><\/p>\r\n\r\n\r\n\r\n<p class=\"has-text-align-center\"><span class=\"wp-katex-eq\" data-display=\"false\">\\begin{array}{rcl}3t\\;+\\;1\\;=\\;0\\;&amp;\\text{\u0dc4\u0ddd}&amp;\\;t\\;\u2013\\;1\\;=\\;0\\\\t\\;=\\;-\\;\\frac13\\;&amp;\\text{\u0dc4\u0ddd}&amp;\\;t\\;=\\;1\\\\[4px]\\tan\\;\\frac A2\\;=\\;-\\frac13\\;&amp;\\text{\u0dc4\u0ddd}&amp;\\;\\;\\tan\\;\\frac A2\\;=\\;1\\\\[4px]\\frac A2\\;=\\;\\tan^{-1}\\left(-\\frac13\\right)\\;&amp;\\text{\u0dc4\u0ddd}&amp;\\frac A2\\text{\u00a0=\u00a0}\\tan^{-1}\\left(1\\right)\\end{array}<\/span><\/p>\r\n\r\n\r\n\r\n<div class=\"wp-block-spacer\" style=\"height: 100px\" aria-hidden=\"true\">\u00a0<\/div>\r\n\r\n\r\n\r\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-block-buttons-is-layout-flex\">\r\n<div class=\"wp-block-button is-style-shadow td_btn_normal\"><a class=\"wp-block-button__link\" style=\"border-radius: 15px\" href=\"https:\/\/drive.google.com\/uc?export=download&amp;id=1A9ZbwXTSWhIPQLu-o0sjwaBpMT_67P5j\" target=\"_blank\" rel=\"noreferrer noopener\">\u0db4\u0dcf\u0da9\u0db8\u0dda \u0dc3\u0da7\u0dc4\u0db1 Download \u0d9a\u0dbb\u0d9c\u0db1\u0dca\u0db1.<\/a><\/div>\r\n<\/div>\r\n\r\n\r\n\r\n<div class=\"wp-block-spacer\" style=\"height: 100px\" aria-hidden=\"true\">\u00a0<\/div>\r\n\r\n\r\n\r\n<h3 class=\"wp-block-heading\">\u0db4\u0dc3\u0dd4\u0d9c\u0dd2\u0dba \u0dc0\u0dd2\u0db7\u0dcf\u0d9c \u0db4\u0dca\u200d\u0dbb\u0dc1\u0dca\u0db1 \u0db4\u0dad\u0dca\u200d\u0dbb\u0dc0\u0dbd \u0d9c\u0dd0\u0da7\u0dbd\u0dd4 \u0dc0\u0dd2\u0dc3\u0db3\u0dd3\u0db8<\/h3>\r\n\r\n\r\n\r\n<p><span class=\"has-inline-color\" style=\"color: #304170\"><strong>2013 A\/L &#8211; Part A<\/strong><\/span><\/p>\r\n\r\n\r\n\r\n<div class=\"wp-block-image\">\r\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"652\" height=\"79\" class=\"wp-image-14345\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/image-58.png\" alt=\"\" srcset=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/image-58.png 652w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/image-58-300x36.png 300w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/image-58-150x18.png 150w\" sizes=\"(max-width: 652px) 100vw, 652px\" \/><\/figure>\r\n<\/div>\r\n\r\n\r\n\r\n<div class=\"wp-block-image\">\r\n<figure class=\"aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-14346\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/image-59.png\" alt=\"\" width=\"389\" height=\"428\" \/><\/figure>\r\n<\/div>\r\n\r\n\r\n\r\n<div class=\"wp-block-spacer\" style=\"height: 34px\" aria-hidden=\"true\">\u00a0<\/div>\r\n\r\n\r\n\r\n<div class=\"wp-block-spacer\" style=\"height: 45px\" aria-hidden=\"true\">\u00a0<\/div>\r\n\r\n\r\n\r\n<p><span class=\"has-inline-color\" style=\"color: #304170\"><strong>2013 AL \u2013 Part B<\/strong><\/span><\/p>\r\n\r\n\r\n\r\n<div class=\"wp-block-image\">\r\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"590\" height=\"148\" class=\"wp-image-14351\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/image-61.png\" alt=\"\" srcset=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/image-61.png 590w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/image-61-300x75.png 300w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/image-61-150x38.png 150w\" sizes=\"(max-width: 590px) 100vw, 590px\" \/><\/figure>\r\n<\/div>\r\n\r\n\r\n\r\n<div class=\"wp-block-image\">\r\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"489\" height=\"339\" class=\"wp-image-14352\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/image-62.png\" alt=\"\" srcset=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/image-62.png 489w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/image-62-300x208.png 300w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/image-62-150x104.png 150w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/image-62-218x150.png 218w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/image-62-100x70.png 100w\" sizes=\"(max-width: 489px) 100vw, 489px\" \/><\/figure>\r\n<\/div>\r\n\r\n\r\n\r\n<div class=\"wp-block-image\">\r\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"389\" height=\"436\" class=\"wp-image-14385\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/image-68.png\" alt=\"\" srcset=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/image-68.png 389w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/image-68-268x300.png 268w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/image-68-150x168.png 150w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/image-68-300x336.png 300w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/image-68-375x420.png 375w\" sizes=\"(max-width: 389px) 100vw, 389px\" \/><\/figure>\r\n<\/div>\r\n\r\n\r\n\r\n<div class=\"wp-block-spacer\" style=\"height: 40px\" aria-hidden=\"true\">\u00a0<\/div>\r\n\r\n\r\n\r\n<p><strong><span class=\"has-inline-color\" style=\"color: #304170\">2019 AL \u2013 Part A<\/span><\/strong><\/p>\r\n\r\n\r\n\r\n<div class=\"wp-block-image\">\r\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"417\" height=\"453\" class=\"wp-image-14387\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/image-70.png\" alt=\"\" srcset=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/image-70.png 417w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/image-70-276x300.png 276w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/image-70-150x163.png 150w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/image-70-300x326.png 300w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/image-70-387x420.png 387w\" sizes=\"(max-width: 417px) 100vw, 417px\" \/><\/figure>\r\n<\/div>\r\n\r\n\r\n\r\n<div class=\"wp-block-spacer\" style=\"height: 44px\" aria-hidden=\"true\">\u00a0<\/div>\r\n\r\n\r\n\r\n<p>&nbsp;<\/p>\r\n\r\n\r\n\r\n<p><strong><span class=\"has-inline-color\" style=\"color: #304170\">2019 AL \u2013 Part B<\/span><\/strong><\/p>\r\n\r\n\r\n\r\n<div class=\"wp-block-image\">\r\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"558\" height=\"127\" class=\"wp-image-14389\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/image-72.png\" alt=\"\" srcset=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/image-72.png 558w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/image-72-300x68.png 300w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/image-72-150x34.png 150w\" sizes=\"(max-width: 558px) 100vw, 558px\" \/><\/figure>\r\n<\/div>\r\n\r\n\r\n\r\n<div class=\"wp-block-image\">\r\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"505\" height=\"500\" class=\"wp-image-14391\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/image-74.png\" alt=\"\" srcset=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/image-74.png 505w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/image-74-300x297.png 300w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/image-74-150x149.png 150w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/image-74-424x420.png 424w\" sizes=\"(max-width: 505px) 100vw, 505px\" \/><\/figure>\r\n<\/div>\r\n\r\n\r\n\r\n<div class=\"wp-block-image\">\r\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"377\" height=\"134\" class=\"wp-image-14393\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/image-76.png\" alt=\"\" srcset=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/image-76.png 377w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/image-76-300x107.png 300w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/image-76-150x53.png 150w\" sizes=\"(max-width: 377px) 100vw, 377px\" \/><\/figure>\r\n<\/div>\r\n\r\n\r\n\r\n<h3 class=\"wp-block-heading\">Video links<\/h3>\r\n\r\n\r\n\r\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\">\r\n<div class=\"wp-block-embed__wrapper\"><div class=\"epyt-video-wrapper\"><iframe loading=\"lazy\"  id=\"_ytid_91291\"  width=\"696\" height=\"392\"  data-origwidth=\"696\" data-origheight=\"392\"  data-relstop=\"1\" src=\"https:\/\/www.youtube.com\/embed\/Y4IRkLaEe6c?enablejsapi=1&autoplay=0&cc_load_policy=0&cc_lang_pref=&iv_load_policy=1&loop=0&rel=0&fs=1&playsinline=0&autohide=2&theme=dark&color=red&controls=1&\" class=\"__youtube_prefs__  no-lazyload\" title=\"YouTube player\"  allow=\"fullscreen; accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen data-no-lazy=\"1\" data-skipgform_ajax_framebjll=\"\"><\/iframe><\/div><\/div>\r\n<\/figure>\r\n\r\n\r\n\r\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-4-3 wp-has-aspect-ratio\">\r\n<div class=\"wp-block-embed__wrapper\"><div class=\"epyt-video-wrapper\"><iframe loading=\"lazy\"  id=\"_ytid_58523\"  width=\"696\" height=\"522\"  data-origwidth=\"696\" data-origheight=\"522\"  data-relstop=\"1\" src=\"https:\/\/www.youtube.com\/embed\/-pwvj4lXpm4?enablejsapi=1&autoplay=0&cc_load_policy=0&cc_lang_pref=&iv_load_policy=1&loop=0&rel=0&fs=1&playsinline=0&autohide=2&theme=dark&color=red&controls=1&\" class=\"__youtube_prefs__  no-lazyload\" title=\"YouTube player\"  allow=\"fullscreen; accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen data-no-lazy=\"1\" data-skipgform_ajax_framebjll=\"\"><\/iframe><\/div><\/div>\r\n<\/figure>\r\n\r\n\r\n\r\n<p class=\"has-text-align-center has-white-color has-text-color has-background\" style=\"background-color: #272062;text-align: center\"><span style=\"color: #ffffff\"><em><strong><span style=\"font-size: 18pt;font-family: 'book antiqua', palatino, serif\">\u201cMathematics is the Queen of the Sciences.\u201d<\/span><\/strong><\/em><\/span><br \/><span style=\"font-family: tahoma, arial, helvetica, sans-serif;font-size: 10pt;color: #808080\">-Carl Friedrich Gauss-<\/span><\/p>\r\n\r\n\r\n\r\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-block-buttons-is-layout-flex\">\r\n<div class=\"wp-block-button is-style-shadow td_btn_normal\"><a class=\"wp-block-button__link\" style=\"border-radius: 15px\" href=\"https:\/\/drive.google.com\/drive\/folders\/1Pbuvhbye_zmoyMl2ILwV3MSTtfwpysXB?usp=sharing\" target=\"_blank\" rel=\"noreferrer noopener\">\u0dad\u0dc0\u0dad\u0dca \u0db4\u0dca\u200d\u0dbb\u0dc1\u0dca\u0db1 \u0db4\u0dd9\u0db1\u0dca\u0dc0\u0db1\u0dca\u0db1.<\/a><\/div>\r\n<\/div>\r\n\r\n\r\n\r\n<p>&nbsp;<\/p>\r\n","protected":false},"excerpt":{"rendered":"<p>\u0daf\u0dca\u0dc0\u0dd2\u0dad\u0dca\u0dc0 \u0dc4\u0dcf \u0dad\u0dca\u200d\u0dbb\u0dd2\u0dad\u0dca\u0dc0 \u0d9a\u0ddd\u0dab \u0dc3\u0daf\u0dc4\u0dcf \u0dc3\u0dd6\u0dad\u0dca\u200d\u0dbb \u0dc0\u0dca\u200d\u0dba\u0dd4\u0dad\u0dca\u0db4\u0db1\u0dca\u0db1 \u0d9a\u0dbb\u0db8\u0dd2\u0db1\u0dca \u0d92 \u0d87\u0dc3\u0dd4\u0dbb\u0dd2\u0db1\u0dca \u0db7\u0dcf\u0d9c \u0d9a\u0ddd\u0dab \u0dc3\u0dd6\u0dad\u0dca\u200d\u0dbb \u0d85\u0db4\u0ddd\u0dc4\u0db1\u0dba \u0d9a\u0dbb\u0dba\u0dd2.<\/p>\n","protected":false},"author":60,"featured_media":16558,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"tdm_status":"","tdm_grid_status":"","footnotes":""},"categories":[3645,3647,3632,42,3630,3629],"tags":[4476,4479,3797,3989,3990,4478,4477,3796],"class_list":{"0":"post-11092","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-01-05-trigonometric-equations-part-i","8":"category-01-07-trigonometric-solutions","9":"category-01-trigonometry","10":"category-advanced-level-science","11":"category-pure-mathematics","12":"category-combined-mathematics","13":"tag-baga-kona-suthra","14":"tag-dwithwa-kona-suthra","15":"tag-shudda-ganithaya","16":"tag-thrikonamithaya","17":"tag-3990","18":"tag-4478","19":"tag-4477","20":"tag-3796"},"_links":{"self":[{"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/posts\/11092"}],"collection":[{"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/users\/60"}],"replies":[{"embeddable":true,"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/comments?post=11092"}],"version-history":[{"count":73,"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/posts\/11092\/revisions"}],"predecessor-version":[{"id":35299,"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/posts\/11092\/revisions\/35299"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/media\/16558"}],"wp:attachment":[{"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/media?parent=11092"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/categories?post=11092"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/tags?post=11092"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}