{"id":9276,"date":"2022-01-05T01:20:48","date_gmt":"2022-01-04T19:50:48","guid":{"rendered":"https:\/\/mathemerize.com\/?p=9276"},"modified":"2022-01-05T01:23:38","modified_gmt":"2022-01-04T19:53:38","slug":"find-the-value-of-tan-15-degrees","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/find-the-value-of-tan-15-degrees\/","title":{"rendered":"Find the Value of Tan 15 degrees ?"},"content":{"rendered":"

Solution :<\/h2>\n

The value of tan 15 degrees<\/strong> is \\(\\sqrt{3} – 1\\over \\sqrt{3} + 1\\)<\/strong>.<\/p>\n

Proof : <\/strong><\/p>\n

We write tan 15 as tan (45 – 30).<\/p>\n

Using the formula of tan (A – B),<\/p>\n

tan 15 = tan (45 – 30) = \\(tan 45 – tan 30\\over 1 + tan 45 tan 30\\)<\/p>\n

\\(\\implies\\) tan 15 = \\(1 – {1\\over \\sqrt{3}}\\over 1 + {1\\over \\sqrt{3}}\\) = \\(\\sqrt{3} – 1\\over \\sqrt{3} + 1\\)<\/p>\n","protected":false},"excerpt":{"rendered":"

Solution : The value of tan 15 degrees is \\(\\sqrt{3} – 1\\over \\sqrt{3} + 1\\). Proof :  We write tan 15 as tan (45 – 30). Using the formula of tan (A – B), tan 15 = tan (45 – 30) = \\(tan 45 – tan 30\\over 1 + tan 45 tan 30\\) \\(\\implies\\) tan …<\/p>\n

Find the Value of Tan 15 degrees ?<\/span> Read More »<\/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":"\nFind the Value of Tan 15 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-15-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 15 degrees ? - Mathemerize\" \/>\n<meta property=\"og:description\" content=\"Solution : The value of tan 15 degrees is (sqrt{3} – 1over sqrt{3} + 1). Proof :  We write tan 15 as tan (45 – 30). Using the formula of tan (A – B), tan 15 = tan (45 – 30) = (tan 45 – tan 30over 1 + tan 45 tan 30) (implies) tan … Find the Value of Tan 15 degrees ? 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