{"id":164397,"date":"2024-03-14T15:03:48","date_gmt":"2024-03-14T09:33:48","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=164397"},"modified":"2024-03-14T15:03:51","modified_gmt":"2024-03-14T09:33:51","slug":"find-the-value-of-sin%c2%b257-37-sin%c2%b232-63-cot%c2%b265-43-sec%c2%b2-65-43-tan%c2%b224-57","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/find-the-value-of-sin%c2%b257-37-sin%c2%b232-63-cot%c2%b265-43-sec%c2%b2-65-43-tan%c2%b224-57\/","title":{"rendered":"Find the value of Sin\u00b2(57.37\u00b0)+ Sin\u00b2(32.63\u00b0) + cot\u00b2(65.43\u00b0). sec\u00b2 (65.43\u00b0) – tan\u00b2(24.57\u00b0)"},"content":{"rendered":"\n

Find the value of Sin\u00b2(57.37\u00b0)+ Sin\u00b2(32.63\u00b0) + cot\u00b2(65.43\u00b0). sec\u00b2 (65.43\u00b0) – tan\u00b2(24.57\u00b0)<\/p>\n\n\n\n

(a)          0<\/p>\n\n\n\n

(b)          1<\/p>\n\n\n\n

(c)           -1<\/p>\n\n\n\n

(d)          2<\/strong><\/p>\n\n\n\n

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

sin\u00b2A + Sin\u00b2B = 1 [ when A + B = 90\u00b0]<\/p>\n\n\n\n

1+cosec \u00b2(65.43\u00b0) \u2013 cot\u00b2(65.43\u00b0)<\/p>\n\n\n\n

=1+1<\/p>\n\n\n\n

=2<\/p>\n","protected":false},"excerpt":{"rendered":"

Find the value of Sin\u00b2(57.37\u00b0)+ Sin\u00b2(32.63\u00b0) + cot\u00b2(65.43\u00b0). sec\u00b2 (65.43\u00b0) – tan\u00b2(24.57\u00b0) (a)          0 (b)          1 (c)           -1 (d)          2 Sol: sin\u00b2A + Sin\u00b2B = 1 [ when A + B = 90\u00b0] 1+cosec \u00b2(65.43\u00b0) \u2013 cot\u00b2(65.43\u00b0) =1+1 =2<\/p>\n","protected":false},"author":419,"featured_media":164398,"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-164397","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\/164397","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=164397"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/164397\/revisions"}],"predecessor-version":[{"id":164399,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/164397\/revisions\/164399"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/164398"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=164397"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=164397"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=164397"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}