{"id":9278,"date":"2022-01-05T01:22:35","date_gmt":"2022-01-04T19:52:35","guid":{"rendered":"https:\/\/mathemerize.com\/?p=9278"},"modified":"2022-01-05T01:23:46","modified_gmt":"2022-01-04T19:53:46","slug":"find-the-value-of-tan-75-degrees","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/find-the-value-of-tan-75-degrees\/","title":{"rendered":"Find the Value of Tan 75 degrees ?"},"content":{"rendered":"<h2>Solution :<\/h2>\n<p>The value of <strong>tan 75 degrees<\/strong> is <strong>\\(\\sqrt{3} + 1\\over \\sqrt{3} &#8211; 1\\)<\/strong>.<\/p>\n<p><strong>Proof :&nbsp;<\/strong><\/p>\n<p>We write tan 75 as tan (45 + 30).<\/p>\n<p>Using the formula of tan (A + B),<\/p>\n<p>tan 75 = tan (45 + 30) = \\(tan 45 + tan 30\\over 1 &#8211; tan 45 tan 30\\)<\/p>\n<p>\\(\\implies\\) tan 75 = \\(1 + {1\\over \\sqrt{3}}\\over 1 &#8211; {1\\over \\sqrt{3}}\\) = \\(\\sqrt{3} + 1\\over \\sqrt{3} &#8211; 1\\)<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Solution : The value of tan 75 degrees is \\(\\sqrt{3} + 1\\over \\sqrt{3} &#8211; 1\\). Proof :&nbsp; We write tan 75 as tan (45 + 30). Using the formula of tan (A + B), tan 75 = tan (45 + 30) = \\(tan 45 + tan 30\\over 1 &#8211; tan 45 tan 30\\) \\(\\implies\\) tan &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathemerize.com\/find-the-value-of-tan-75-degrees\/\"> <span class=\"screen-reader-text\">Find the Value of Tan 75 degrees ?<\/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>Find the Value of Tan 75 degrees ? - 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\/find-the-value-of-tan-75-degrees\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Find the Value of Tan 75 degrees ? - Mathemerize\" \/>\n<meta property=\"og:description\" content=\"Solution : The value of tan 75 degrees is (sqrt{3} + 1over sqrt{3} &#8211; 1). Proof :&nbsp; We write tan 75 as tan (45 + 30). Using the formula of tan (A + B), tan 75 = tan (45 + 30) = (tan 45 + tan 30over 1 &#8211; tan 45 tan 30) (implies) tan &hellip; Find the Value of Tan 75 degrees ? 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- Mathemerize","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/mathemerize.com\/find-the-value-of-tan-75-degrees\/","og_locale":"en_US","og_type":"article","og_title":"Find the Value of Tan 75 degrees ? - Mathemerize","og_description":"Solution : The value of tan 75 degrees is (sqrt{3} + 1over sqrt{3} &#8211; 1). Proof :&nbsp; We write tan 75 as tan (45 + 30). Using the formula of tan (A + B), tan 75 = tan (45 + 30) = (tan 45 + tan 30over 1 &#8211; tan 45 tan 30) (implies) tan &hellip; Find the Value of Tan 75 degrees ? 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