{"id":164636,"date":"2024-03-16T15:22:23","date_gmt":"2024-03-16T09:52:23","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=164636"},"modified":"2024-03-16T15:22:26","modified_gmt":"2024-03-16T09:52:26","slug":"if-tan-8%ce%b8-11-tan-11%ce%b8-13-1-then-find-the-value-of-tan10%ce%b8-cot5%ce%b8","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/if-tan-8%ce%b8-11-tan-11%ce%b8-13-1-then-find-the-value-of-tan10%ce%b8-cot5%ce%b8\/","title":{"rendered":"If tan (8\u03b8 \u2013 11\u00b0) tan (11\u03b8 \u2013 13\u00b0) = 1, then find the value of tan10\u03b8 + cot5\u03b8"},"content":{"rendered":"\n

If tan (8\u03b8 \u2013 11\u00b0) tan (11\u03b8 \u2013 13\u00b0) = 1, then find the value of tan10\u03b8 + cot5\u03b8 ?<\/p>

Sol:<\/p>

We know, if tanA. tanB = 1<\/p>

Then, A + B = 90\u00b0<\/p>

Now,<\/p>

Tan(8\u03b8 \u2013 11) . tan (11\u03b8 \u2013 13) = 1<\/p>

\u2234<\/span> 8\u03b8 \u2013 11 + 11\u03b8 \u2013 13 = 90<\/p>

\u21d2<\/span> 19\u03b8 = 114<\/p>

\u21d2<\/span> \u03b8 = 6<\/p>

Now,Tan10\u03b8 + cot 5\u03b8<\/p><\/p>\n\n\n\n

\"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

If tan (8\u03b8 \u2013 11\u00b0) tan (11\u03b8 \u2013 13\u00b0) = 1, then find the value of tan10\u03b8 + cot5\u03b8 ? Sol: We know, if tanA. tanB = 1 Then, A + B = 90\u00b0 Now, Tan(8\u03b8 \u2013 11) . tan (11\u03b8 \u2013 13) = 1 \u2234 8\u03b8 \u2013 11 + 11\u03b8 \u2013 13 = 90 […]<\/p>\n","protected":false},"author":419,"featured_media":164638,"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-164636","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\/164636","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=164636"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/164636\/revisions"}],"predecessor-version":[{"id":164639,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/164636\/revisions\/164639"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/164638"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=164636"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=164636"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=164636"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}