{"id":167095,"date":"2024-04-24T14:11:55","date_gmt":"2024-04-24T08:41:55","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=167095"},"modified":"2024-04-24T14:11:55","modified_gmt":"2024-04-24T08:41:55","slug":"sin%e2%81%b6-cos%e2%81%b6-is-equal-to","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/sin%e2%81%b6-cos%e2%81%b6-is-equal-to\/","title":{"rendered":"Sin\u2076 + cos\u2076 is equal to"},"content":{"rendered":"\n

Sin\u2076 + cos\u2076 is equal to?<\/p>\n\n\n\n

(a)          1 \u2013 3sin\u00b2 cos\u00b2 \u03b8<\/strong><\/p>\n\n\n\n

(b)          1 \u2013 3sin cos \u03b8<\/p>\n\n\n\n

(c)           1+3sin\u00b2 cos\u00b2 \u03b8<\/p>\n\n\n\n

(d)          1<\/p>\n\n\n\n

Sol:<\/p>\n\n\n\n

Let a = sin\u00b2 \u03b8<\/p>\n\n\n\n

b = cos\u00b2 \u03b8.<\/p>\n\n\n\n

a\u00b3 + b\u00b3 = (a + b)\u00b3 \u2013 3ab(a + b)<\/p>\n\n\n\n

sin6<\/sup> \u03b8+sin6<\/sup> \u03b8=1-3 sin2<\/sup> \u03b8 cos 2<\/sup> \u03b8<\/p>\n","protected":false},"excerpt":{"rendered":"

Sin\u2076 + cos\u2076 is equal to? (a)          1 \u2013 3sin\u00b2 cos\u00b2 \u03b8 (b)          1 \u2013 3sin cos \u03b8 (c)           1+3sin\u00b2 cos\u00b2 \u03b8 (d)          1 Sol: Let a = sin\u00b2 \u03b8 b = cos\u00b2 \u03b8. a\u00b3 + b\u00b3 = (a + b)\u00b3 \u2013 3ab(a + b) sin6 \u03b8+sin6 \u03b8=1-3 sin2 \u03b8 cos 2 \u03b8<\/p>\n","protected":false},"author":419,"featured_media":167102,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[5138],"tags":[5139],"class_list":["post-167095","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-quantitative-aptitude","tag-quantitative-aptitude"],"_links":{"self":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/167095","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/users\/419"}],"replies":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/comments?post=167095"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/167095\/revisions"}],"predecessor-version":[{"id":167103,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/167095\/revisions\/167103"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/167102"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=167095"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=167095"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=167095"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}