{"id":9273,"date":"2022-01-05T01:11:26","date_gmt":"2022-01-04T19:41:26","guid":{"rendered":"https:\/\/mathemerize.com\/?p=9273"},"modified":"2022-01-05T01:12:18","modified_gmt":"2022-01-04T19:42:18","slug":"what-is-the-formula-of-tan-a-b-c","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/what-is-the-formula-of-tan-a-b-c\/","title":{"rendered":"What is the Formula of Tan (A + B + C) ?"},"content":{"rendered":"<h2>Solution :<\/h2>\n<p>The formula of <strong>tan (A + B + C)<\/strong> is <strong>\\(tan A + tan B + tan C &#8211; tan A tan B tan C\\over 1 &#8211; tan A tan B &#8211; tan B tan C &#8211; tan C tan A\\)<\/strong>.<\/p>\n<p><strong>Proof :<\/strong><\/p>\n<p>We have,<\/p>\n<p>tan (A + B + C) = tan((A + B) + C)<\/p>\n<p>\\(\\implies\\) tan (A + B + C) = \\(tan (A + B) + tan C\\over tan (A + B) tan C\\)<\/p>\n<p>\\(\\implies\\) tan (A + B + C) = \\({tan A + tan B\\over 1 &#8211; tan A tan B} + tan C\\over 1 &#8211; ({tan A + tan B\\over 1 &#8211; tan A tan B})tan C\\)<\/p>\n<p>\\(\\implies\\) tan (A + B + C) = \\(tan A + tan B + tan C &#8211; tan A tan B tan C\\over 1 &#8211; tan A tan B &#8211; tan B tan C &#8211; tan C tan A\\)<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Solution : The formula of tan (A + B + C) is \\(tan A + tan B + tan C &#8211; tan A tan B tan C\\over 1 &#8211; tan A tan B &#8211; tan B tan C &#8211; tan C tan A\\). Proof : We have, tan (A + B + C) = tan((A &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathemerize.com\/what-is-the-formula-of-tan-a-b-c\/\"> <span class=\"screen-reader-text\">What is the Formula of Tan (A + B + C) ?<\/span> Read More &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","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>What is the Formula of Tan (A + B + C) ? - 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\/what-is-the-formula-of-tan-a-b-c\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"What is the Formula of Tan (A + B + C) ? - Mathemerize\" \/>\n<meta property=\"og:description\" content=\"Solution : The formula of tan (A + B + C) is (tan A + tan B + tan C &#8211; tan A tan B tan Cover 1 &#8211; tan A tan B &#8211; tan B tan C &#8211; tan C tan A). 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Proof : We have, tan (A + B + C) = tan((A &hellip; What is the Formula of Tan (A + B + C) ? 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