{"id":11717,"date":"2022-08-16T17:15:46","date_gmt":"2022-08-16T11:45:46","guid":{"rendered":"https:\/\/mathemerize.com\/?p=11717"},"modified":"2022-08-16T17:15:53","modified_gmt":"2022-08-16T11:45:53","slug":"if-tan-2a-cota-18-where-2a-is-an-acute-angle-find-the-value-of-a","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/if-tan-2a-cota-18-where-2a-is-an-acute-angle-find-the-value-of-a\/","title":{"rendered":"If tan 2A = cot(A &#8211; 18), where 2A is an acute angle, find the value of A."},"content":{"rendered":"<h2>Solution :<\/h2>\n<p>Given,\u00a0 \u00a0tan 2A = cot(A &#8211; 18)<\/p>\n<p>\\(\\implies\\)\u00a0 cot(90 &#8211; 2A) = cot(A &#8211; 18)<\/p>\n<p>\\(\\implies\\)\u00a0 90 &#8211; 2A = A &#8211; 18<\/p>\n<p>\\(\\implies\\)\u00a0 3A = 108<\/p>\n<p>\\(\\implies\\)\u00a0 <strong>A = 36<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Solution : Given,\u00a0 \u00a0tan 2A = cot(A &#8211; 18) \\(\\implies\\)\u00a0 cot(90 &#8211; 2A) = cot(A &#8211; 18) \\(\\implies\\)\u00a0 90 &#8211; 2A = A &#8211; 18 \\(\\implies\\)\u00a0 3A = 108 \\(\\implies\\)\u00a0 A = 36<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"default","ast-global-header-display":"","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":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":""},"categories":[43,60],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v20.12 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>If tan 2A = cot(A - 18), where 2A is an acute angle, find the value of A. - Mathemerize<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mathemerize.com\/if-tan-2a-cota-18-where-2a-is-an-acute-angle-find-the-value-of-a\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"If tan 2A = cot(A - 18), where 2A is an acute angle, find the value of A. - Mathemerize\" \/>\n<meta property=\"og:description\" content=\"Solution : Given,\u00a0 \u00a0tan 2A = cot(A &#8211; 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