{"id":14130,"date":"2021-05-19T19:46:17","date_gmt":"2021-05-19T14:16:17","guid":{"rendered":"https:\/\/learnsteer.sasnaka.org\/science\/?p=14130"},"modified":"2022-01-27T01:39:45","modified_gmt":"2022-01-26T20:09:45","slug":"01-07-00","status":"publish","type":"post","link":"https:\/\/learnsteer.sasnaka.org\/science\/advanced-level-science\/combined-mathematics\/01-07-00\/","title":{"rendered":"01.07.00 &#8211; \u0dc3\u0dcf\u0db0\u0dcf\u0dbb\u0dab \u0dc0\u0dd2\u0dc3\u0db3\u0dd4\u0db8\u0dca"},"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=1PWnMKyhPjL1XbRoslmMmnTE-BuL0Vvma\" 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<ul class=\"wp-block-list\">\r\n<li><strong><span class=\"has-inline-color\" style=\"color: #ff0000\">\u0dc3\u0d82\u0dba\u0dd4\u0d9a\u0dca\u0dad \u0d9c\u0dab\u0dd2\u0dad I (\u0dc1\u0dd4\u0daf\u0dca\u0db0 \u0d9c\u0dab\u0dd2\u0dad ) \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\u0dbd\u0dd4\u0dc0\u0dda \u0dc4\u0dcf B<\/span><\/strong> <strong><span class=\"has-inline-color\" style=\"color: #ff0000\">\u0d9a\u0ddc\u0da7\u0dc3\u0dda(\u0dbb\u0da0\u0db1\u0dcf \u0db4\u0dca\u200d\u0dbb\u0dc1\u0dca\u0db1 ) 17 \u0d9c\u0dd0\u0da7\u0dbd\u0dd4\u0dc0\u0dda \u0d85\u0da9\u0d82\u0d9c\u0dd4 \u0dc3\u0dd2\u0daf\u0dca\u0db0\u0dcf\u0db1\u0dca\u0dad \u0db8\u0dd9\u0db8 \u0db4\u0dcf\u0da9\u0db8 \u0d85\u0da9\u0d82\u0d9c\u0dd4 \u0dc3\u0dd2\u0daf\u0dca\u0db0\u0dcf\u0db1\u0dca\u0dad \u0dc0\u0dda.<\/span><\/strong><\/li>\r\n<\/ul>\r\n\r\n\r\n\r\n<ul class=\"wp-block-list\">\r\n<li>\u0d95\u0db1\u0db8 \u0dad\u0dca\u200d\u0dbb\u0dd2\u0d9a\u0ddd\u0dab\u0db8\u0dd2\u0dad\u0dd2\u0d9a \u0dc3\u0db8\u0dd3\u0d9a\u0dbb\u0dab\u0dba\u0d9a\u0dca \u0dc0\u0dd2\u0dc3\u0daf\u0dd3\u0db8\u0da7 \u0db8\u0dd4\u0dbd\u0dd2\u0d9a \u0dc0\u0db1 \u0db4\u0dca\u200d\u0dbb\u0daf\u0dcf\u0db1 \u0dad\u0dca\u200d\u0dbb\u0dd2\u0d9a\u0ddd\u0dab\u0db8\u0dd2\u0dad\u0dd2\u0d9a \u0dc3\u0db8\u0dd3\u0d9a\u0dbb\u0dab \u0dad\u0dd4\u0db1\u0d9a\u0dca \u0db4\u0dc0\u0dad\u0dd3.\u0d92\u0dc0\u0dcf \u0db1\u0db8\u0dca ,<br \/>Sin\u03b8 = k , Cos\u03b8 = k, Tan\u03b8 = k \u0dc0\u0dda.<\/li>\r\n<\/ul>\r\n\r\n\r\n\r\n<ul class=\"wp-block-list\">\r\n<li>\u0db4\u0dc5\u0db8\u0dd4\u0dc0 \u0db8\u0dd9\u0db8 \u0db4\u0dca\u200d\u0dbb\u0db0\u0dcf\u0db1 \u0dc3\u0db8\u0dd3\u0d9a\u0dbb\u0dab \u0dc0\u0dbd \u0dc0\u0dd2\u0dc3\u0daf\u0dd4\u0db8\u0dca \u0dc4\u0db3\u0dd4\u0db1\u0dcf \u0d9c\u0dd9\u0db1 \u0d89\u0db1\u0dca\u0db4\u0dc3\u0dd4 \u0daf\u0dd9\u0db1 \u0dbd\u0daf \u0d95\u0db1\u0dd1\u0db8 \u0dc3\u0db8\u0dd3\u0d9a\u0dbb\u0dab\u0dba\u0d9a\u0dca \u0d89\u0dc4\u0dad \u0d86\u0d9a\u0dcf\u0dbb \u0dad\u0dd4\u0db1\u0dd9\u0db1\u0dca \u0d91\u0d9a\u0d9a\u0da7 \u0dc4\u0ddd \u0d9a\u0dd2\u0dc4\u0db4\u0dba\u0d9a\u0da7 \u0dc4\u0dbb\u0dc0\u0dcf \u0dc0\u0dd2\u0dc3\u0db3\u0db1\u0dd4 \u0dbd\u0dd0\u0db6\u0dda.<\/li>\r\n<\/ul>\r\n\r\n\r\n\r\n<h3 class=\"wp-block-heading\"><strong>sin \u03b8 \u0dc3\u0daf\u0dc4\u0dcf \u03b8 \u0dc4\u0dd2 \u0db4\u0dca\u200d\u0dbb\u0db0\u0dcf\u0db1 \u0db4\u0dbb\u0dcf\u0dc3\u0dba\u00a0<\/strong><\/h3>\r\n\r\n\r\n\r\n<p>\u2234 sin \u03b8 \u0dc3\u0daf\u0dc4\u0dcf \u03b8 \u0dc4\u0dd2 \u0db4\u0dca\u200d\u0dbb\u0db0\u0dcf\u0db1 \u0db4\u0dbb\u0dcf\u0dc3\u0dba,<\/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=\"1280\" height=\"1223\" class=\"wp-image-33507\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/10\/image-11.png\" alt=\"\" \/><\/figure>\r\n<\/div>\r\n\r\n\r\n\r\n<p>&nbsp;<\/p>\r\n\r\n\r\n\r\n<p class=\"has-text-align-center\"><span class=\"wp-katex-eq\" data-display=\"false\">-\\frac\\pi2\\leq\\theta\\leq\\frac\\pi2<\/span><\/p>\r\n\r\n\r\n\r\n<h3 class=\"wp-block-heading\"><strong>cos \u03b8 \u0dc3\u0daf\u0dc4\u0dcf \u03b8 \u0dc4\u0dd2 \u0db4\u0dca\u200d\u0dbb\u0db0\u0dcf\u0db1 \u0db4\u0dbb\u0dcf\u0dc3\u0dba\u00a0<\/strong><\/h3>\r\n\r\n\r\n\r\n<p>\u2234 cos \u03b8 \u0dc3\u0daf\u0dc4\u0dcf \u03b8 \u0dc4\u0dd2 \u0db4\u0dca\u200d\u0dbb\u0db0\u0dcf\u0db1 \u0db4\u0dbb\u0dcf\u0dc3\u0dba,<\/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=\"1280\" height=\"1254\" class=\"wp-image-33508\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/10\/image-12.png\" alt=\"\" \/><\/figure>\r\n<\/div>\r\n\r\n\r\n\r\n<p class=\"has-text-align-center\">0 \u2264 \u03b8 \u2264 \u03c0<\/p>\r\n\r\n\r\n\r\n<h3 class=\"wp-block-heading\"><strong>tan \u03b8 \u0dc3\u0daf\u0dc4\u0dcf \u0dc4\u0dd2 \u03b8 \u0db4\u0dca\u200d\u0dbb\u0db0\u0dcf\u0db1 \u0db4\u0dbb\u0dcf\u0dc3\u0dba<\/strong><\/h3>\r\n\r\n\r\n\r\n<p>\u2234 tan \u03b8 \u0dc3\u0daf\u0dc4\u0dcf \u03b8 \u0dc4\u0dd2 \u0db4\u0dca\u200d\u0dbb\u0db0\u0dcf\u0db1 \u0db4\u0dbb\u0dcf\u0dc3\u0dba,<\/p>\r\n\r\n\r\n\r\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1280\" height=\"1206\" class=\"wp-image-33509\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/10\/image-13.png\" alt=\"\" \/><\/figure>\r\n\r\n\r\n\r\n<p class=\"has-text-align-center\"><span class=\"wp-katex-eq\" data-display=\"false\">-\\frac\\pi2\\leq\\theta\\leq\\frac\\pi2<\/span><\/p>\r\n\r\n\r\n\r\n<h3 class=\"wp-block-heading\"><strong>\u0d91\u0d9a\u0db8 \u0dc3\u0dba\u0dd2\u0db1\u0dba\u0d9a\u0dca \u0d87\u0dad\u0dd2 \u0dc3\u0dd1\u0db8 \u0d9a\u0ddd\u0dab\u0dba\u0d9a\u0dca \u0dc3\u0daf\u0dc4\u0dcf\u0db8 \u0db4\u0ddc\u0daf\u0dd4 \u0db4\u0dca\u200d\u0dbb\u0d9a\u0dcf\u0dc1\u0db1\u0dba\u00a0<\/strong><\/h3>\r\n\r\n\r\n\r\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0sin\u03b8 = k \u0dc0\u0dd2\u0da7 \u03b8 \u0dc3\u0dd9\u0dc0\u0dd3\u0db8 ( -1 \u2264 k \u2264 1 )<\/p>\r\n\r\n\r\n\r\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0sin = sin \u03b1 ( <span class=\"wp-katex-eq\" data-display=\"false\">-\\frac\\pi2\\leq\\alpha\\leq\\frac\\pi2<\/span> )<\/p>\r\n\r\n\r\n\r\n<p>\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\"> \\theta=\\;n\\mathrm\\pi\\;+(-1)^{\\mathrm n}\\mathrm\\alpha <\/span> \u00a0 \u00a0 \u00a0 [ n \u2208 z ]<\/p>\r\n\r\n\r\n\r\n<p>\u0d8b\u0daf\u0dcf : (01.) \u0dc0\u0dd2\u0dc3\u0daf\u0dd4\u0db8\u0dca \u0dc3\u0ddc\u0dba\u0db1\u0dca\u0db1.<\/p>\r\n\r\n\r\n\r\n<p>i. <span class=\"wp-katex-eq\" data-display=\"false\">\\sin\\;x=\\frac1{\\sqrt2}\\\\\\sin\\;x=\\sin\\;\\frac{\\mathrm\\pi}4\\\\x=\\;n\\mathrm\\pi\\;+\\;(-1)^{\\mathrm n}\\frac{\\mathrm\\pi}4<\/span><\/p>\r\n\r\n\r\n\r\n<span class=\"wp-katex-eq\" data-display=\"false\">\\\\\\sin\\;x=\\sin\\;\\frac{\\mathrm\\pi}4<\/span>\r\n\r\n\r\n\r\n<p><span class=\"wp-katex-eq\" data-display=\"false\">x=\\;n\\mathrm\\pi\\;+\\;(-1)^{\\mathrm n}\\frac{\\mathrm\\pi}4<\/span>\u00a0 \u00a0 \u00a0 \u00a0 [ n \u2208 z ]<\/p>\r\n\r\n\r\n\r\n<p>ii<em>.\u00a0<\/em><span class=\"wp-katex-eq\" data-display=\"false\">\\sin\\left(3x\\right)=\\frac{\\sqrt3}2<\/span><\/p>\r\n\r\n\r\n\r\n<span class=\"wp-katex-eq\" data-display=\"false\">\\sin\\left(3x\\right)=\\frac{\\sqrt3}2<\/span>\r\n\r\n\r\n\r\n<span class=\"wp-katex-eq\" data-display=\"false\">\\sin\\left(3x\\right)=\\frac{\\sqrt3}2<\/span>\r\n\r\n\r\n\r\n<span class=\"wp-katex-eq\" data-display=\"false\">3x=n\\pi+(-1)^n\\frac\\pi3<\/span>\r\n\r\n\r\n\r\n<p><span class=\"wp-katex-eq\" data-display=\"false\">x=\\frac13n\\pi+(-1)^n\\frac\\pi9<\/span> [ n \u2208 z ]<\/p>\r\n\r\n\r\n\r\n<p>iii. <span class=\"wp-katex-eq\" data-display=\"false\">\\sin\\frac{\\mathrm x}4=1<\/span><\/p>\r\n\r\n\r\n\r\n<span class=\"wp-katex-eq\" data-display=\"false\">\\sin\\frac{\\mathrm x}4=\\sin\\frac{\\displaystyle\\mathrm\\pi}{\\displaystyle2}<\/span>\r\n\r\n\r\n\r\n<p>&nbsp;<\/p>\r\n\r\n\r\n\r\n<span class=\"wp-katex-eq\" data-display=\"false\">\\frac x4=n\\mathrm\\pi\\;+\\;(-1)\\frac{\\displaystyle\\mathrm\\pi}2<\/span>\r\n\r\n\r\n\r\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<span class=\"wp-katex-eq\" data-display=\"false\">x=4n\\mathrm\\pi\\;+\\;(-1)2\\mathrm\\pi<\/span> \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 [ n \u2208 z ]<\/p>\r\n\r\n\r\n\r\n<p>\u00a0\u00a0iv.<span class=\"wp-katex-eq\" data-display=\"false\">\\begin{array}{l}\\sin\\frac x2=\\;-\\frac12\\\\\\end{array}<\/span><\/p>\r\n\r\n\r\n\r\n<span class=\"wp-katex-eq\" data-display=\"false\">\\begin{array}{l}\\sin\\frac x2=\\;\\sin\\left(-\\frac{\\mathrm\\pi}6\\right)\\\\\\end{array}<\/span>\r\n\r\n\r\n\r\n<span class=\"wp-katex-eq\" data-display=\"false\">\\begin{array}{l}\\frac x2=n\\mathrm\\pi\\;+\\left(-1\\right)^{\\mathrm n}\\left(-\\frac{\\mathrm\\pi}6\\right)\\\\\\end{array}<\/span>\r\n\r\n\r\n\r\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0<span class=\"wp-katex-eq\" data-display=\"false\">\\begin{array}{l}x=2n\\mathrm\\pi\\;+\\left(-1\\right)^{\\mathrm n}\\left(-\\frac{\\mathrm\\pi}3\\right)\\\\\\end{array}<\/span> \u00a0 \u00a0 \u00a0 [ n \u2208 z ]<\/p>\r\n\r\n\r\n\r\n<p>v.<span class=\"wp-katex-eq\" data-display=\"false\">\\begin{array}{l}\\sin\\frac{3\\mathrm x}2=-\\frac1{\\sqrt2}\\\\\\end{array}<\/span><\/p>\r\n\r\n\r\n\r\n<span class=\"wp-katex-eq\" data-display=\"false\">\\begin{array}{l}\\sin\\frac{3\\mathrm x}2=\\sin\\left(-\\frac{\\mathrm\\pi}4\\right)\\\\\\end{array}<\/span>\r\n\r\n\r\n\r\n<p>&nbsp;<\/p>\r\n\r\n\r\n\r\n<span class=\"wp-katex-eq\" data-display=\"false\">\\frac{3x}2=n\\mathrm\\pi+\\left(-1\\right)^{\\mathrm n}(-\\frac{\\mathrm\\pi}4)<\/span>\r\n\r\n\r\n\r\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<span class=\"wp-katex-eq\" data-display=\"false\">x=\\frac{\\displaystyle2\\mathrm{n\u03c0}}3+\\left(-1\\right)^{\\mathrm n}(-\\frac{\\mathrm\\pi}6)<\/span> \u00a0 \u00a0 \u00a0 \u00a0 [ n \u2208 z ]<\/p>\r\n\r\n\r\n\r\n<p>\u00a0\u00a0\u00a0\u00a0vi. \u00a0 \u00a0 \u00a0 \u00a0 sin x = 2\/5\u00a0<\/p>\r\n\r\n\r\n\r\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0sin x = sin \u03b1 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 [\u03b1 = <span class=\"wp-katex-eq\" data-display=\"false\">\\sin^{-1}<\/span> ( 2\/5 ) ]<\/p>\r\n\r\n\r\n\r\n<p>\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\">\\mathrm x=\\;\\mathrm{n\u03c0}\\;+(-1)^{\\mathrm n}\\mathrm\\alpha<\/span>\u00a0 \u00a0 \u00a0 [ n \u2208 z , \u03b1 = <span class=\"wp-katex-eq\" data-display=\"false\">\\sin^{-1}<\/span> ( 2\/5 )]<\/p>\r\n\r\n\r\n\r\n<h3 class=\"wp-block-heading\"><strong>\u0d91\u0d9a\u0db8 \u0d9a\u0ddd\u0dc3\u0dba\u0dd2\u0db1\u0dba\u0d9a\u0dca \u0d87\u0dad\u0dd2 \u0dc3\u0dd1\u0db8 \u0d9a\u0ddd\u0dab\u0dba\u0d9a\u0dca \u0dc3\u0daf\u0dc4\u0dcf\u0db8 \u0db4\u0ddc\u0daf\u0dd4 \u0db4\u0dca\u200d\u0dbb\u0d9a\u0dcf\u0dc1\u0db1\u0dba\u00a0<\/strong><\/h3>\r\n\r\n\r\n\r\n<p><strong>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/strong>\u00a0cos \u03b8 = k \u0dc0\u0dd2\u0da7 \u03b8 \u0dc3\u0dd9\u0dc0\u0dd3\u0db8 ( -1 \u2264 k \u2264 1 )<\/p>\r\n\r\n\r\n\r\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0cos \u03b8 = cos \u03b1 ( 0 \u2264 \u03b1 \u2264 \u03c0 )<\/p>\r\n\r\n\r\n\r\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u03b8 =2n\u03c0 \u00b1 \u03b1 \u00a0 \u00a0 \u00a0 [ n \u2208 z ]<\/p>\r\n\r\n\r\n\r\n<p>&nbsp;<\/p>\r\n\r\n\r\n\r\n<p>\u0d8b\u0daf\u0dcf : (01.) \u0dc0\u0dd2\u0dc3\u0daf\u0dd4\u0db8\u0dca \u0dc3\u0ddc\u0dba\u0db1\u0dca\u0db1.<\/p>\r\n\r\n\r\n\r\n<ol class=\"wp-block-list\">\r\n<li>cos x = \u00bd<\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0cos x = cos \u03c0\/3<\/p>\r\n\r\n\r\n\r\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u03b8 =2n\u03c0 \u00b1 \u03c0\/3\u00a0 \u00a0 \u00a0 [ n \u2208 z ]<\/p>\r\n\r\n\r\n\r\n<p>&nbsp;<\/p>\r\n\r\n\r\n\r\n<ol class=\"wp-block-list\" start=\"2\">\r\n<li>cos 3x = <span class=\"wp-katex-eq\" data-display=\"false\">\\frac1{\\sqrt2}<\/span><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n<p>cos 3x = cos \u03c0\/4<\/p>\r\n\r\n\r\n\r\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a03x = 2n\u03c0 \u00b1 \u03c0\/4\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/p>\r\n\r\n\r\n\r\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0x = 2n\u03c0\/3 \u00b1 \u03c0\/12\u00a0 \u00a0 \u00a0 [ n \u2208 z ]<\/p>\r\n\r\n\r\n\r\n<ol class=\"wp-block-list\" start=\"3\">\r\n<li>cos x\/4 = <span class=\"wp-katex-eq\" data-display=\"false\">-\\frac{\\sqrt3}2<\/span><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0cos x\/4 = cos 5\u03c0\/6<\/p>\r\n\r\n\r\n\r\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0x\/4 = 2n\u03c0\u00b15\u03c0\/6<\/p>\r\n\r\n\r\n\r\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0x = 8n\u03c0\u00b110\u03c0\/3 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 [ n \u2208 z ]<\/p>\r\n\r\n\r\n\r\n<p>&nbsp;<\/p>\r\n\r\n\r\n\r\n<ol class=\"wp-block-list\" start=\"4\">\r\n<li>cos 3x = -1\/2<\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n<p>cos 3x = cos 2\u03c0\/3<\/p>\r\n\r\n\r\n\r\n<p>3x = 2n\u03c0 \u00b1 2\u03c0\/3<\/p>\r\n\r\n\r\n\r\n<p>x = 2n\u03c0\/3 \u00b1 2\u03c0\/9\u00a0 \u00a0 \u00a0 [ n \u2208 z ]<\/p>\r\n\r\n\r\n\r\n<ol class=\"wp-block-list\" start=\"5\">\r\n<li>cos 4x\/3 = <span class=\"wp-katex-eq\" data-display=\"false\">-\\frac1{\\sqrt2}<\/span><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n<p>cos 4x\/3 = cos 3\u03c0\/4<\/p>\r\n\r\n\r\n\r\n<p>4x\/3 = 2n\u03c0 \u00b1 3\u03c0\/4<\/p>\r\n\r\n\r\n\r\n<p>x = 3n\u03c0\/2 \u00b1 9\u03c0\/16\u00a0 \u00a0 \u00a0 [ n \u2208 z ]<\/p>\r\n\r\n\r\n\r\n<h3 class=\"wp-block-heading\"><strong>\u0d91\u0d9a\u0db8 \u0da7\u0dd0\u0d82\u0da2\u0db1\u0dba\u0d9a\u0dca \u0d87\u0dad\u0dd2 \u0dc3\u0dd1\u0db8 \u0d9a\u0ddd\u0dab\u0dba\u0d9a\u0dca \u0dc3\u0daf\u0dc4\u0dcf\u0db8 \u0db4\u0ddc\u0daf\u0dd4 \u0db4\u0dca\u200d\u0dbb\u0d9a\u0dcf\u0dc1\u0db1\u0dba\u00a0<\/strong><\/h3>\r\n\r\n\r\n\r\n<p>&nbsp;<\/p>\r\n\r\n\r\n\r\n<p><strong>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/strong>\u00a0tan \u03b8\u00a0= k \u0dc0\u0dd2\u0da7 \u03b8 \u0dc3\u0dd9\u0dc0\u0dd3\u0db8 ( -\u221e \u2264 k \u2264 \u221e )<\/p>\r\n\r\n\r\n\r\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0tan = tan \u03b1 ( &#8211; \u03c0\/2 &lt; \u03b1 &lt; \u03c0\/2 )<\/p>\r\n\r\n\r\n\r\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u03b8 =n\u03c0 + \u03b1 \u00a0 \u00a0 \u00a0 [ n \u2208 z ]<\/p>\r\n\r\n\r\n\r\n<p>\u0d8b\u0daf\u0dcf : (01.) \u0dc0\u0dd2\u0dc3\u0daf\u0dd4\u0db8\u0dca \u0dc3\u0ddc\u0dba\u0db1\u0dca\u0db1.<\/p>\r\n\r\n\r\n\r\n<ol class=\"wp-block-list\">\r\n<li>tan x = <span class=\"wp-katex-eq\" data-display=\"false\">\\frac1{\\sqrt3}<\/span><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n<p>tan x = tan \u03c0\/6<\/p>\r\n\r\n\r\n\r\n<p>x = n\u03c0 + \u03c0\/6 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 [ n \u2208 z ]<\/p>\r\n\r\n\r\n\r\n<ol class=\"wp-block-list\" start=\"2\">\r\n<li>tan 2x = 1<\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n<p>tan 2x = tan \u03c0\/4<\/p>\r\n\r\n\r\n\r\n<p>2x =n\u03c0 + \u03c0\/4\u00a0<\/p>\r\n\r\n\r\n\r\n<p>\u00a0x = n\u03c0\/2 + \u03c0\/8 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 [ n \u2208 z ]<\/p>\r\n\r\n\r\n\r\n<ol class=\"wp-block-list\" start=\"3\">\r\n<li>tan x = <span class=\"wp-katex-eq\" data-display=\"false\">-\\sqrt3<\/span><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n<p>tan x = tan ( &#8211; \u03c0\/3 )<\/p>\r\n\r\n\r\n\r\n<p>x = n\u03c0 &#8211;\u00a0 \u03c0\/3 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 [ n \u2208 z ]<\/p>\r\n\r\n\r\n\r\n<h3 class=\"wp-block-heading\"><strong>\u0daf\u0dd9\u0db1 \u0dbd\u0daf \u0db4\u0dbb\u0dcf\u0dc3\u0dba\u0d9a\u0dca \u0dad\u0dd4\u0dbd \u0dc0\u0dd2\u0dc3\u0daf\u0dd4\u0db8\u0dca \u0dc3\u0dd9\u0dc0\u0dd3\u0db8\u00a0<\/strong><\/h3>\r\n\r\n\r\n\r\n<ol class=\"wp-block-list\">\r\n<li>sin 3x = 0 \u0dc0\u0db1 x \u0dc3\u0daf\u0dc4\u0dcf \u0d85\u0d9c\u0dba\u0db1\u0dca 0 \u0dad\u0dca 2\u03c0 \u0dad\u0dca \u0d85\u0dad\u0dbb \u0dc3\u0ddc\u0dba\u0db1\u0dca\u0db1.<\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n<p>\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\u00a0sin 3x = 0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0<\/p>\r\n\r\n\r\n\r\n<p class=\"has-text-align-left\">\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0sin 3x = sin 0 \u00a0 \u00a0<\/p>\r\n\r\n\r\n\r\n<p class=\"has-text-align-left\">\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a03x = n\u03c0 + <span class=\"wp-katex-eq\" data-display=\"false\">(-1)^n<\/span>. 0<\/p>\r\n\r\n\r\n\r\n<p class=\"has-text-align-left\">\u00a03x = n\u03c0<\/p>\r\n\r\n\r\n\r\n<p class=\"has-text-align-left\">x = n\u03c0\/3\u00a0 \u00a0 [ n \u2208 z ]<\/p>\r\n\r\n\r\n\r\n<p class=\"has-text-align-left\">n = 1\u00a0<span class=\"wp-katex-eq\" data-display=\"false\">\\rightarrow<\/span> \u00a0 x = \u03c0\/3 \u00a0 \u00a0 \u00a0 \u00a0<\/p>\r\n\r\n\r\n\r\n<p class=\"has-text-align-left\">n = 5\u00a0<span class=\"wp-katex-eq\" data-display=\"false\">\\rightarrow<\/span> \u00a0 x = 5\u03c0\/3\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\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<\/p>\r\n\r\n\r\n\r\n<p class=\"has-text-align-left\">\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 n = 2 <span class=\"wp-katex-eq\" data-display=\"false\">\\rightarrow<\/span>\u00a0 x = 2\u03c0\/3\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<\/p>\r\n\r\n\r\n\r\n<p class=\"has-text-align-left\">\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 n = 3 <span class=\"wp-katex-eq\" data-display=\"false\">\\rightarrow<\/span>\u00a0 x =\u03c0<\/p>\r\n\r\n\r\n\r\n<p class=\"has-text-align-left\">\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0n = 4\u00a0 \u00a0 x = 4\u03c0\/3\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\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/p>\r\n\r\n\r\n\r\n<ol class=\"wp-block-list\" start=\"2\">\r\n<li>cos 3x = <span class=\"wp-katex-eq\" data-display=\"false\">-\\frac{\\sqrt3}2<\/span>\u00a0 \u0dc0\u0db1\u00a0 x \u0dc3\u0daf\u0dc4\u0dcf \u0d85\u0d9c\u0dba\u0db1\u0dca 0 &lt; x &lt; 2\u03c0 \u0db4\u0dbb\u0dcf\u0dc3\u0dba \u0dad\u0dd4\u0dbd \u0dc3\u0ddc\u0dba\u0db1\u0dca\u0db1.<\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0cos 3x = cos 5\u03c0\/6<\/p>\r\n\r\n\r\n\r\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a03x = 2n\u03c0 \u00b1 5\u03c0\/6<\/p>\r\n\r\n\r\n\r\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0x = 2n\u03c0\/3 \u00b1 5\u03c0\/18\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 [ n \u2208 z ]\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\u00a0\u00a0<\/p>\r\n\r\n\r\n\r\n<p>\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\u00a0x = 2n\u03c0\/3 + 5\u03c0\/18\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u0dc4\u0ddd \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 x = 2n\u03c0\/3 &#8211; 5\u03c0\/18\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/p>\r\n\r\n\r\n\r\n<p><em>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/em><span class=\"wp-katex-eq\" data-display=\"false\">x=\\frac{12n\\mathrm\\pi+5\\mathrm\\pi}{18}<\/span> \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u0dc4\u0ddd \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 <span class=\"wp-katex-eq\" data-display=\"false\">x=\\frac{12n\\mathrm\\pi+5\\mathrm\\pi}{18}<\/span><\/p>\r\n\r\n\r\n\r\n<p><em>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/em>n = 0 \u00a0 x = 5\u03c0\/18\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 n = 1 \u2192 x= 7\u03c0\/18<\/p>\r\n\r\n\r\n\r\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0n = 1 \u2192 x= 17\u03c0\/18 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 n = 2 \u2192 x= 19\u03c0\/18<\/p>\r\n\r\n\r\n\r\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0n = 2 \u2192 x= 29\u03c0\/18 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 n = 3 \u2192 x= 31\u03c0\/18<\/p>\r\n\r\n\r\n\r\n<p>\u0d8b\u0daf\u0dcf : (01.) \u0db4\u0dc4\u0dad \u0daf\u0dd0\u0d9a\u0dca\u0dc0\u0dd9\u0db1 \u0d9c\u0dd0\u0da7\u0dc5\u0dd4 \u0dc0\u0dd2\u0dc3\u0daf\u0db1\u0dca\u0db1.<\/p>\r\n\r\n\r\n\r\n<ol class=\"wp-block-list\">\r\n<li>cos 2x \u2013 cos x = 0<\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n<ul class=\"wp-block-list\">\r\n<li>I\u00a0 \u0d9a\u0dca\u200d\u0dbb\u0db8\u0dba<\/li>\r\n<\/ul>\r\n\r\n\r\n\r\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0cos 2x \u2013 cos x = 0<\/p>\r\n\r\n\r\n\r\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0cos 2x = cos x\u00a0<\/p>\r\n\r\n\r\n\r\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a02x = 2n\u03c0 \u00b1 x \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 [ n \u2208 z ]\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\u00a0\u00a0<\/p>\r\n\r\n\r\n\r\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0x = 2n\u03c0\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u0dc4\u0ddd \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 3x = 2n\u03c0<\/p>\r\n\r\n\r\n\r\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0[ n \u2208 z ] \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 x = 2n\u03c0\/3\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 [ n \u2208 z ]\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/p>\r\n\r\n\r\n\r\n<ul class=\"wp-block-list\">\r\n<li>II\u00a0 \u0d9a\u0dca\u200d\u0dbb\u0db8\u0dba<\/li>\r\n<\/ul>\r\n\r\n\r\n\r\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0cos 2x \u2013 cos x = 0<\/p>\r\n\r\n\r\n\r\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a02 sin 3x\/2 . sin (-x\/2) = 0<\/p>\r\n\r\n\r\n\r\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0-sin 3x\/2 . sin x\/2 = 0<\/p>\r\n\r\n\r\n\r\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0sin 3x\/2 . sin x\/2 = 0<\/p>\r\n\r\n\r\n\r\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0sin 3x\/2 = 0\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u0dc4\u0ddd \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 sin x\/2 = 0<\/p>\r\n\r\n\r\n\r\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0sin 3x\/2 = sin 0\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 sin x\/2 = sin 0<\/p>\r\n\r\n\r\n\r\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a03x\/2 = n\u03c0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 x\/2 = n\u03c0\u00a0\u00a0\u00a0<\/p>\r\n\r\n\r\n\r\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0x = 2n\u03c0\/3 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 x = 2n\u03c0\u00a0\u00a0<\/p>\r\n\r\n\r\n\r\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0[ n \u2208 z ]\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 [ n \u2208 z ]\u00a0\u00a0<\/p>\r\n\r\n\r\n\r\n<ol class=\"wp-block-list\" start=\"2\">\r\n<li>cos 3x = sin 2x<\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n<ul class=\"wp-block-list\">\r\n<li>cos 3x = sin 2x<\/li>\r\n<\/ul>\r\n\r\n\r\n\r\n<p>cos 3x = cos [ <span class=\"wp-katex-eq\" data-display=\"false\">\\frac{\\mathrm\\pi}2<\/span> \u2013 2x ]<\/p>\r\n\r\n\r\n\r\n<p>3x = 2n\u03c0 \u00b1 [ <span class=\"wp-katex-eq\" data-display=\"false\">\\frac{\\mathrm\\pi}2<\/span> \u2013 2x ]<\/p>\r\n\r\n\r\n\r\n<p>5x = 2n\u03c0 + <span class=\"wp-katex-eq\" data-display=\"false\">\\frac{\\mathrm\\pi}2<\/span> \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u0dc4\u0ddd\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 x = 2n\u03c0 &#8211; <span class=\"wp-katex-eq\" data-display=\"false\">\\frac{\\mathrm\\pi}2<\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/p>\r\n\r\n\r\n\r\n<p>x = 2n\u03c0\/5 + <span class=\"wp-katex-eq\" data-display=\"false\">\\frac{\\mathrm\\pi}{10}<\/span>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 [ n \u2208 z ]\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\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/p>\r\n\r\n\r\n\r\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0[ n \u2208 z ]\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\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/p>\r\n\r\n\r\n\r\n<ol class=\"wp-block-list\" start=\"3\">\r\n<li>2 cos x + sin x \u2013 sin 2x = 1<\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n<ul class=\"wp-block-list\">\r\n<li>2 cos x + sin x \u2013 sin 2x = 1<\/li>\r\n<\/ul>\r\n\r\n\r\n\r\n<p>2 cos x + sin x \u2013 2 sin x cos x \u2013 1 = 0<\/p>\r\n\r\n\r\n\r\n<p>[ 2 cos x \u2013 1 ] [ 1 \u2013 sinx ] = 0<\/p>\r\n\r\n\r\n\r\n<p>2 cos x \u2013 1 = 0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u0dc4\u0ddd\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 1 \u2013 sin x = 0<\/p>\r\n\r\n\r\n\r\n<p>cos x = \u00bd\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 sin x = 1<\/p>\r\n\r\n\r\n\r\n<p>cos x = cos \u03c0\/3\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 sin x = sin \u03c0\/2<\/p>\r\n\r\n\r\n\r\n<p>x = 2n\u03c0 \u00b1 \u03c0\/3\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 x = n\u03c0 +( &#8211; 1 )n \u03c0\/2<\/p>\r\n\r\n\r\n\r\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0[ n \u2208 z ] \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 [ n \u2208 z ]\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\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/p>\r\n\r\n\r\n\r\n<p>&nbsp;<\/p>\r\n\r\n\r\n\r\n<h2 class=\"wp-block-heading\"><strong>a cos x + b sin x = c \u0d86\u0d9a\u0dcf\u0dbb\u0dba\u0dda \u0dc3\u0db8\u0dd3\u0d9a\u0dbb\u0dab\u0dba\u0d9a \u0dc0\u0dd2\u0dc3\u0daf\u0dd4\u0db8\u0dca\u00a0<\/strong><\/h2>\r\n\r\n\r\n\r\n<h3 class=\"wp-block-heading\"><strong>\u0db4\u0dc5\u0db8\u0dd4 \u0d9a\u0dca\u200d\u0dbb\u0db8\u0dba<\/strong><\/h3>\r\n\r\n\r\n\r\n<div class=\"wp-block-cover has-background-dim\" style=\"background-color: #c09fde\">\r\n<div class=\"wp-block-cover__inner-container is-layout-flow wp-block-cover-is-layout-flow\">\r\n<p class=\"has-text-color\" style=\"color: #183846;font-size: 20px\"><strong>\u0db4\u0dd4\u0d82\u0da0\u0dd2 \u0d85\u0db7\u0dd2\u0dba\u0ddd\u0d9c\u0dba\u0d9a\u0dca!<\/strong><\/p>\r\n\r\n\r\n\r\n<p class=\"has-text-color\" style=\"color: #183846;font-size: 20px\"><strong>a, b, \u0dc4\u0dcf c \u0dad\u0dca\u200d\u0dbb\u0dd2\u0d9a\u0ddd\u0dab\u0dba\u0d9a \u0d91\u0d9a\u0dca \u0d91\u0d9a\u0dca \u0db4\u0dcf\u0daf\u0dba\u0dda \u0daf\u0dd2\u0d9c\u0dc0\u0dbd\u0dca \u0dba\u0dd0\u0dba\u0dd2 \u0dc3\u0dbd\u0d9a\u0db8\u0dd4. ab + bc + ca = 1 \u0dbd\u0dd9\u0dc3 \u0daf\u0dd3 \u0d87\u0dad.<\/strong><\/p>\r\n\r\n\r\n\r\n<p class=\"has-text-color\" style=\"color: #183846;font-size: 20px\"><strong>( a +1 )(b +1 )(c +1 ) &lt; 4 \u0dc0\u0db1 \u0db6\u0dc0 \u0db4\u0dd9\u0db1\u0dca\u0dc0\u0db1\u0dca\u0db1.<\/strong><\/p>\r\n\r\n\r\n\r\n<div class=\"wp-block-image\">\r\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" class=\"wp-image-29663\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/09\/01.07-Q.jpg\" alt=\"\" width=\"300\" srcset=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/09\/01.07-Q.jpg 575w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/09\/01.07-Q-300x219.jpg 300w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/09\/01.07-Q-150x109.jpg 150w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/09\/01.07-Q-324x235.jpg 324w\" sizes=\"(max-width: 575px) 100vw, 575px\" \/><\/figure>\r\n<\/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\"><a class=\"wp-block-button__link has-background\" style=\"border-radius: 10px;background: linear-gradient(135deg,#0693e3 0%,#192e37 0%)\" href=\"https:\/\/learnsteer.sasnaka.org\/science\/?p=29664\" target=\"_blank\" rel=\"noreferrer noopener\">\u0db4\u0dd2\u0dc5\u0dd2\u0dad\u0dd4\u0dbb \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<\/div>\r\n<\/div>\r\n\r\n\r\n\r\n<p>\u0db8\u0dd9\u0dc4\u0dd2\u0daf\u0dd3 ,<\/p>\r\n\r\n\r\n\r\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<span class=\"wp-katex-eq\" data-display=\"false\">\\sqrt{(\\;\\sin\\;\\mathrm x\\;\\mathrm{\u0dc4\u0dd2}\\;\\mathrm{\u0dc3\u0d82\u0d9c\u0dd4\u0db1\u0d9a\u0dba\u0dda}\\;)^2\\;\\;+\\;(\\;\\cos\\;\\mathrm x\\;\\mathrm{\u0dc4\u0dd2}\\;\\mathrm{\u0dc3\u0d82\u0d9c\u0dd4\u0db1\u0d9a\u0dba\u0dda}\\;)^2}<\/span> \u00a0\u00a0 \u00a0 \u0db1\u0dca \u0dc3\u0dd1\u0db8 \u0db4\u0daf\u0dba\u0d9a\u0dca\u0db8 \u0db6\u0dd9\u0daf\u0dcf <span class=\"wp-katex-eq\" data-display=\"false\">\\sqrt{\\;\\mathrm a^2\\;+\\;\\mathrm b^2\\;}<\/span><\/p>\r\n\r\n\r\n\r\n<p>\u0d86\u0d9a\u0dbd\u0db1 \u0dc3\u0dd6\u0dad\u0dca\u200d\u0dbb\u0daf \u0db7\u0dcf\u0dc0\u0dd2\u0dad\u0dcf \u0d9a\u0dbb\u0db8\u0dd2\u0db1\u0dca \u0dc3\u0dcf\u0db0\u0dcf\u0dbb\u0db1 \u0dc0\u0dd2\u0dc3\u0daf\u0dd4\u0db8\u0dca \u0dc3\u0ddc\u0dba\u0db1\u0dd4 \u0dbd\u0dd0\u0db6\u0dda.<\/p>\r\n\r\n\r\n\r\n<p>\u0d8b\u0daf\u0dcf : (01.) <span class=\"wp-katex-eq\" data-display=\"false\">\\sqrt3<\/span>cosx+sinx=2\u00a0 \u0dc0\u0dd2\u0dc3\u0daf\u0db1\u0dca\u0db1.<\/p>\r\n\r\n\r\n\r\n<p>\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\u00a0<span class=\"wp-katex-eq\" data-display=\"false\">\\sqrt3<\/span>cosx+sinx=2\u00a0<\/p>\r\n\r\n\r\n\r\n<p>\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\u00a0<span class=\"wp-katex-eq\" data-display=\"false\">\\frac{\\displaystyle\\sqrt3}2<\/span> cos x + <span class=\"wp-katex-eq\" data-display=\"false\">\\frac{\\displaystyle1}2<\/span> sin x = 1<\/p>\r\n\r\n\r\n\r\n<p>\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\u00a0cos x cos \u03c0\/6 + sin x sin \u03c0\/6 = 1<\/p>\r\n\r\n\r\n\r\n<p>\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\u00a0cos [ x &#8211; \u03c0\/6 ] = 1<\/p>\r\n\r\n\r\n\r\n<p>\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\u00a0cos [ x &#8211; \u03c0\/6 ] = cos 0<\/p>\r\n\r\n\r\n\r\n<p>\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\u00a0x &#8211; \u03c0\/6 = 2n\u03c0<\/p>\r\n\r\n\r\n\r\n<p>\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\u00a0x = 2n\u03c0 + \u03c0\/6 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 [ n \u2208 z ]\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\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/p>\r\n\r\n\r\n\r\n<p>\u0d8b\u0daf\u0dcf : (02.) cos x &#8211; <span class=\"wp-katex-eq\" data-display=\"false\">\\sqrt3<\/span> sin x = 1 \u0dc0\u0dd2\u0dc3\u0daf\u0db1\u0dca\u0db1.<\/p>\r\n\r\n\r\n\r\n<p>\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\u00a0cos x &#8211; <span class=\"wp-katex-eq\" data-display=\"false\">\\sqrt3<\/span> sin x = 1<\/p>\r\n\r\n\r\n\r\n<p>\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\u00a0<span class=\"wp-katex-eq\" data-display=\"false\">\\frac12<\/span> cos x &#8211; <span class=\"wp-katex-eq\" data-display=\"false\">\\frac{\\sqrt3}2<\/span><\/p>\r\n\r\n\r\n\r\n<p>sin x = <span class=\"wp-katex-eq\" data-display=\"false\">\\frac12<\/span><\/p>\r\n\r\n\r\n\r\n<p>\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\u00a0cos x cos \u03c0\/3 \u2013 sin x sin \u03c0\/3 = <span class=\"wp-katex-eq\" data-display=\"false\">\\frac12<\/span>\u00a0<\/p>\r\n\r\n\r\n\r\n<p>\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\u00a0cos [ x + \u03c0\/3 ] = cos \u03c0\/3<\/p>\r\n\r\n\r\n\r\n<p>\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\u00a0x +\u00a0 \u03c0\/3\u00a0 = 2n\u03c0 \u00b1 \u03c0\/3<\/p>\r\n\r\n\r\n\r\n<p>\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\u00a0x = 2n\u03c0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u0dc4\u0ddd\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 x = 2n<em> &#8211; <\/em>\u00a0<em>\u00a0<\/em>2\u03c0\/3\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/p>\r\n\r\n\r\n\r\n<p>\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\u00a0[ n \u2208 z ] \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 [ n \u2208 z ]\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\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/p>\r\n\r\n\r\n\r\n<p>\u0d8b\u0daf\u0dcf : (03.) f (x) = sin<sup>6 <\/sup>x + cos<sup>6<\/sup> x \u0dba\u0dba\u0dd2 \u0d9c\u0db1\u0dd2\u0db8\u0dd4. A + B cos kx \u0d86\u0d9a\u0dcf\u0dbb\u0dba\u0dd9\u0db1\u0dca f (x) \u0db4\u0dca\u200d\u0dbb\u0d9a\u0dcf\u0dc1 \u0d9a\u0dbb\u0db1\u0dca\u0db1. A , B \u0dc4\u0dcf k<\/p>\r\n\r\n\r\n\r\n<p><em>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/em>\u0db1\u0dd2\u0dbb\u0dca\u0dab\u0dba \u0d9a\u0dbd \u0dba\u0dd4\u0dad\u0dd4 \u0db1\u0dd2\u0dba\u0dad \u0dc0\u0dda.<\/p>\r\n\r\n\r\n\r\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u0d91\u0db1\u0dba\u0dd2\u0db1\u0dca\u00a0 4 [ sin<sup>6<\/sup> x + cos<sup>6<\/sup> x ] \u2013 2 sin 4x \u2013 5 = 0 \u0dc0\u0dd2\u0dc3\u0daf\u0db1\u0dca\u0db1.<\/p>\r\n\r\n\r\n\r\n<p>\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\u00a0f (x) = sin<sup>6 <\/sup>x + cos<sup>6<\/sup> x<\/p>\r\n\r\n\r\n\r\n<p><em>\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\u00a0\u00a0\u00a0\u00a0<\/em>\u00a0= [ sin<sup>2\u00a0 <\/sup>x + cos<sup>2<\/sup> x ] [ sin<sup>4<\/sup> x \u2013 sin<sup>2<\/sup> x cos<sup>2<\/sup> x + cos<sup>4<\/sup> x ]<\/p>\r\n\r\n\r\n\r\n<p>\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\u00a0\u00a0\u00a0\u00a0\u00a0= [ sin<sup>2\u00a0 <\/sup>x + cos<sup>2<\/sup> x ]<sup>2 <\/sup>\u2013 3 sin<sup>2<\/sup> x cos<sup>2<\/sup> x<\/p>\r\n\r\n\r\n\r\n<p>\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\u00a0\u00a0\u00a0\u00a0\u00a0= 1 &#8211; <span class=\"wp-katex-eq\" data-display=\"false\">\\frac34<\/span> sin<sup>2 <\/sup>2x<\/p>\r\n\r\n\r\n\r\n<p>\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\u00a0\u00a0\u00a0\u00a0\u00a0= 1 &#8211;\u00a0 <span class=\"wp-katex-eq\" data-display=\"false\">\\frac34\\;\\frac{\\left[1-\\;\\cos\\;4x\\right]}2<\/span><\/p>\r\n\r\n\r\n\r\n<p>\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\u00a0\u00a0\u00a0\u00a0\u00a0= <span class=\"wp-katex-eq\" data-display=\"false\">\\frac58<\/span> + <span class=\"wp-katex-eq\" data-display=\"false\">\\frac38<\/span> cos 4x<\/p>\r\n\r\n\r\n\r\n<p>\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\u00a0A =\u00a0 <span class=\"wp-katex-eq\" data-display=\"false\">\\frac58<\/span> , B =\u00a0 <span class=\"wp-katex-eq\" data-display=\"false\">\\frac38<\/span> , k = 4<\/p>\r\n\r\n\r\n\r\n<p>\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\u00a04 [ sin<sup>6<\/sup> x + cos<sup>6<\/sup> x ] \u2013 2 sin 4x \u2013 5 = 0<\/p>\r\n\r\n\r\n\r\n<p>\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\u00a04 [ <span class=\"wp-katex-eq\" data-display=\"false\">\\frac58<\/span> + <span class=\"wp-katex-eq\" data-display=\"false\">\\frac38<\/span> cos 4x ] \u2013 2 sin 4x \u2013 5 = 0<\/p>\r\n\r\n\r\n\r\n<p>\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\">\\frac32<\/span> cos 4x \u2013 2 sin 4x &#8211; <span class=\"wp-katex-eq\" data-display=\"false\">\\frac52<\/span> = 0<\/p>\r\n\r\n\r\n\r\n<p>\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\u00a03 cos 4x \u2013 4 sin 4x \u2013 5 = 0<\/p>\r\n\r\n\r\n\r\n<p>\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\">\\frac35<\/span> cos 4x &#8211; <span class=\"wp-katex-eq\" data-display=\"false\">\\frac45<\/span> sin 4x = 1<\/p>\r\n\r\n\r\n\r\n<p>\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\u00a0cos 4x cos \u03b1 \u2013 sin 4x sin \u03b1 = 1 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 [ \u03b1 = cos<sup>-1<\/sup>\u00a0<span class=\"wp-katex-eq\" data-display=\"false\">\\frac35<\/span>]<\/p>\r\n\r\n\r\n\r\n<p>\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\u00a0cos [ 4x + \u03b1 ] = cos 0<\/p>\r\n\r\n\r\n\r\n<p>\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\u00a04x + \u03b1 = 2n\u03c0<\/p>\r\n\r\n\r\n\r\n<p>\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\u00a0x = <span class=\"wp-katex-eq\" data-display=\"false\">\\frac{n\\mathrm\\pi}2+\\frac\\alpha4<\/span>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 [ n \u2208 z\u00a0 , \u03b1 = cos <sup>-1<\/sup>\u00a0<span class=\"wp-katex-eq\" data-display=\"false\">\\frac35<\/span>\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\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/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=1PWnMKyhPjL1XbRoslmMmnTE-BuL0Vvma\" 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<p>\u0d8b\u0daf\u0dcf: (4)<\/p>\r\n\r\n\r\n\r\n<p>\u0db4\u0dc4\u0dad \u0dc3\u0db8\u0dd3\u0d9a\u0dbb\u0dab\u0dba \u0dc0\u0dd2\u0dc3\u0db3\u0db1\u0dca\u0db1.<\/p>\r\n\r\n\r\n\r\n<p class=\"has-text-align-center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/lh3.googleusercontent.com\/QbK4VYAW5qoDfQ90WtHvB-CgtRJSabKVJt_KiOcW8Efj7LuQC0sMRWM_FqlxztyezZWH9Aym5nakpRTqDla0vFVzw5jV3L9oo-AvPb1OIvfrgQufB0I7Jm13U57R1iRR91jG0f4\" width=\"296\" height=\"329\" \/><\/p>\r\n\r\n\r\n\r\n<p><strong><span class=\"has-inline-color\" style=\"color: #304170\">\u0daf\u0dd9\u0dc0\u0db1 \u0d9a\u0dca\u200d\u0dbb\u0db8\u0dba\u00a0<\/span> \u00a0<\/strong><\/p>\r\n\r\n\r\n\r\n<p class=\"has-text-align-center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/lh3.googleusercontent.com\/66IGC3Q2-M1XBBsvC0b68jkc87lfpAq5_A_iUQvC4vL_S_3MgsnecOVlWQP5ZXZwY82gDCMcD9JBwv3t4yut9ydOewEGNETN1izKHMhsuE_aMZ1_hgGyUNOO5OCcDUGx63fpTys\" width=\"473\" height=\"565\" \/><\/p>\r\n\r\n\r\n\r\n<h3 class=\"wp-block-heading\"><strong>\u0db4\u0dc3\u0dd4\u0d9c\u0dd2\u0dba \u0dc0\u0dd2\u0db7\u0dcf\u0d9c\u00a0\u0d9c\u0dd0\u0da7\u0dbd\u0dd4\u0dc0\u0d9a\u0dca \u0dc3\u0dbd\u0d9a\u0dcf \u0db6\u0dbd\u0db8\u0dd4.<\/strong><\/h3>\r\n\r\n\r\n\r\n<h4 class=\"wp-block-heading\">2017Al (17)\u0d9c\u0dd0\u0da7\u0dbd\u0dd4\u0dc0 ,b \u0d9a\u0ddc\u0da7\u0dc3\u00a0\u00a0<\/h4>\r\n\r\n\r\n\r\n<p><strong>Cos 4x+ Sin 4x= Cos 2x + Sin 2x \u0db6\u0dc0 \u0db4\u0dd9\u0db1\u0dca\u0dc0\u0db1\u0dca\u0db1.<\/strong><\/p>\r\n\r\n\r\n\r\n<p class=\"has-text-align-center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/lh4.googleusercontent.com\/5KQZue3TQXn4k7S9fvGIhko1taoD9uC3NO5Kh6F-Dqv92QbzjIeO3_V3Ckef8aNPYmb5Dsy_NdhzkeGsDrQdY3nKWbKMwmSuUvX9lxfu--DdyRp8pq2nYWrWX7ff1lWCBk1i0V0\" width=\"369\" height=\"358\" \/><\/p>\r\n\r\n\r\n\r\n<h5 class=\"wp-block-heading\">Video links<\/h5>\r\n\r\n\r\n\r\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube\">\r\n<div class=\"wp-block-embed__wrapper\"><div class=\"epyt-video-wrapper\"><iframe loading=\"lazy\"  id=\"_ytid_78314\"  width=\"696\" height=\"392\"  data-origwidth=\"696\" data-origheight=\"392\"  data-relstop=\"1\" src=\"https:\/\/www.youtube.com\/embed\/hjEFMw81y34?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-rich is-provider-embed-handler wp-block-embed-embed-handler 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_15535\"  width=\"696\" height=\"392\"  data-origwidth=\"696\" data-origheight=\"392\"  data-relstop=\"1\" src=\"https:\/\/www.youtube.com\/embed\/v6X1hoqWsAo?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 science which uses easy words for hard ideas.\u201d<\/span><\/strong><\/em><\/span><br \/><span style=\"font-size: 10pt;font-family: tahoma, arial, helvetica, sans-serif;color: #808080\">-Edaward Kasner-<\/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<div class=\"wp-block-spacer\" style=\"height: 100px\" aria-hidden=\"true\">\u00a0<\/div>\r\n\r\n\r\n\r\n<p>&nbsp;<\/p>\r\n","protected":false},"excerpt":{"rendered":"<p>\u0db1\u0ddc\u0daf\u0db1\u0dca\u0db1\u0dcf \u0d9a\u0ddd\u0dab\u0dba\u0db1\u0dca\u0d9c\u0dda \u0dad\u0dca\u200d\u0dbb\u0dd2\u0d9a\u0ddd\u0dab\u0db8\u0dd2\u0dad\u0dd2\u0d9a \u0d85\u0db1\u0dd4\u0db4\u0dcf\u0dad \u0d87\u0dad\u0dd4\u0dbd\u0dad\u0dca \u0dad\u0dca\u200d\u0dbb\u0dd2\u0d9a\u0ddd\u0dab\u0db8\u0dd2\u0dad\u0dd2\u0d9a \u0dc3\u0db8\u0dd3\u0d9a\u0dbb\u0dab \u0dad\u0dd8\u0db4\u0dca\u0dad \u0d9a\u0dbb\u0db1 \u0dc3\u0dd2\u0dba\u0dbd\u0dd4 \u0d9a\u0ddd\u0dab\u0dba\u0db1\u0dca \u0dc3\u0daf\u0dc4\u0dcf \u0dc3\u0dcf\u0db0\u0dcf\u0dbb\u0dab \u0d86\u0d9a\u0dcf\u0dbb\u0dba\u0dd9\u0db1\u0dca \u0dc0\u0dd2\u0dc3\u0daf\u0dd4\u0db8\u0dca \u0d89\u0daf\u0dd2\u0dbb\u0dd2\u0db4\u0dad\u0dca \u0d9a\u0dbb\u0dba\u0dd2.<\/p>\n","protected":false},"author":76,"featured_media":16558,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"tdm_status":"","tdm_grid_status":"","footnotes":""},"categories":[3647,3632,42,3630,3629],"tags":[4149,3993,4023,4475],"class_list":{"0":"post-14130","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-01-07-trigonometric-solutions","8":"category-01-trigonometry","9":"category-advanced-level-science","10":"category-pure-mathematics","11":"category-combined-mathematics","12":"tag-thrikonamithiya","13":"tag-trigonometry","14":"tag-4023","15":"tag-4475"},"_links":{"self":[{"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/posts\/14130"}],"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\/76"}],"replies":[{"embeddable":true,"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/comments?post=14130"}],"version-history":[{"count":59,"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/posts\/14130\/revisions"}],"predecessor-version":[{"id":35301,"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/posts\/14130\/revisions\/35301"}],"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=14130"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/categories?post=14130"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/tags?post=14130"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}