{"id":167074,"date":"2024-04-24T13:55:06","date_gmt":"2024-04-24T08:25:06","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=167074"},"modified":"2024-04-24T13:55:08","modified_gmt":"2024-04-24T08:25:08","slug":"cos2%ce%b8-2sin2%ce%b82-sin2%ce%b81-then-what-is-the-value-of-sin2-5cos-tan2","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/cos2%ce%b8-2sin2%ce%b82-sin2%ce%b81-then-what-is-the-value-of-sin2-5cos-tan2\/","title":{"rendered":"cos2\u03b8-2sin2\u03b8+2\/sin2\u03b8=1 , then what is the value of sin2+ 5cos+ tan2"},"content":{"rendered":"\n<p>cos<sup>2<\/sup>\u03b8-2sin<sup>2<\/sup>\u03b8+2\/sin<sup>2<\/sup>\u03b8=1 , then what is the value of sin2+ 5cos+ tan2 .<\/p>\n\n\n\n<p>Sol:<\/p>\n\n\n\n<p>Cos\u00b2 \u2013 2sin\u00b2 + 2 = sin\u00b2 \u03b8<\/p>\n\n\n\n<p>Cos\u00b2 \u2013 sin\u00b2 \u2013 2sin\u00b2 + 2 = 0.<\/p>\n\n\n\n<p>1 \u2013 2sin\u00b2 \u2013 2sin\u00b2 + 2 = 0.<\/p>\n\n\n\n<p>3 \u2013 4sin\u00b2 = 0<\/p>\n\n\n\n<p>Sin \u03b8= \u221a3\/2<\/p>\n\n\n\n<p>\u03b8 =60 \u00b0<\/p>\n\n\n\n<p>Put \u03b8=60 \u00b0<\/p>\n\n\n\n<figure class=\"wp-block-image size-large is-resized\"><img decoding=\"async\" width=\"1024\" height=\"340\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-283-1024x340.png\" alt=\"\" class=\"wp-image-167080\" style=\"width:428px;height:auto\" srcset=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-283-1024x340.png 1024w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-283-300x100.png 300w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-283-766x254.png 766w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-283-1536x510.png 1536w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-283-2048x680.png 2048w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-283-452x150.png 452w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-283-100x33.png 100w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-283-1055x350.png 1055w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-283-788x261.png 788w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-283.png 434w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>cos2\u03b8-2sin2\u03b8+2\/sin2\u03b8=1 , then what is the value of sin2+ 5cos+ tan2 . Sol: Cos\u00b2 \u2013 2sin\u00b2 + 2 = sin\u00b2 \u03b8 Cos\u00b2 \u2013 sin\u00b2 \u2013 2sin\u00b2 + 2 = 0. 1 \u2013 2sin\u00b2 \u2013 2sin\u00b2 + 2 = 0. 3 \u2013 4sin\u00b2 = 0 Sin \u03b8= \u221a3\/2 \u03b8 =60 \u00b0 Put \u03b8=60 \u00b0<\/p>\n","protected":false},"author":419,"featured_media":167086,"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-167074","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\/167074","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=167074"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/167074\/revisions"}],"predecessor-version":[{"id":167087,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/167074\/revisions\/167087"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/167086"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=167074"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=167074"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=167074"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}