{"id":134799,"date":"2023-03-21T16:09:56","date_gmt":"2023-03-21T10:39:56","guid":{"rendered":"https:\/\/www.mapsofindia.com\/my-india\/?p=134799"},"modified":"2023-03-21T16:09:56","modified_gmt":"2023-03-21T10:39:56","slug":"if-sin-a-then-find-the-value-of-3-cos-a-4-cos%c2%b3-a","status":"publish","type":"post","link":"https:\/\/www.mapsofindia.com\/my-india\/quiz\/if-sin-a-then-find-the-value-of-3-cos-a-4-cos%c2%b3-a","title":{"rendered":"If sin a= , then find the value of (3 cos a -4 cos\u00b3 a)."},"content":{"rendered":"<h2>Question :If sin a= , then find the value of (3 cos a -4 cos\u00b3 a).<\/h2>\n<h3>The correct answer :We have been given that sin A = 1\/2. From this, we will find the value of A.<\/h3>\n<h3>\u21d2 A =\u00a0<img decoding=\"async\" src=\"https:\/\/tex.z-dn.net\/?f=sin%5E%7B-1%7D\" \/>\u00a0(1\/2)<\/h3>\n<h3>\u21d2 A = \u03c0\/6<\/h3>\n<h3>Now, cos A = cos \u03c0\/6 = \u221a3\/2<\/h3>\n<h3>Hence, 3cosA = (3\u221a3)\/2<\/h3>\n<h3>cos\u00b3A = ( \u221a3\/2 )\u00b3 = (3\u221a3)\/8<\/h3>\n<h3>\u21d2 4cos\u00b3A = 4 x (3\u221a3)\/8 = (3\u221a3)\/2<\/h3>\n<h3>Substituting these values we get<\/h3>\n<h3>3 cos A &#8211; 4cos\u00b3A = (3\u221a3)\/2 &#8211; (3\u221a3)\/2 = 0<\/h3>\n<h3>\u2234 L.H.S. = R.H.S.<\/h3>\n","protected":false},"excerpt":{"rendered":"<p>Question :If sin a= , then find the value of (3 cos a -4 cos\u00b3 a). The correct answer :We have been given that sin A = 1\/2. From this, we will find the value of A. \u21d2 A =\u00a0\u00a0(1\/2) \u21d2 A = \u03c0\/6 Now, cos A = cos \u03c0\/6 = \u221a3\/2 Hence, 3cosA = [&hellip;]<\/p>\n","protected":false},"author":21842,"featured_media":132233,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[12119],"tags":[],"class_list":{"0":"post-134799","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-quiz"},"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/posts\/134799","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/users\/21842"}],"replies":[{"embeddable":true,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/comments?post=134799"}],"version-history":[{"count":1,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/posts\/134799\/revisions"}],"predecessor-version":[{"id":134801,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/posts\/134799\/revisions\/134801"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/media\/132233"}],"wp:attachment":[{"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/media?parent=134799"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/categories?post=134799"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/tags?post=134799"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}