{"id":9219,"date":"2022-01-03T16:32:00","date_gmt":"2022-01-03T11:02:00","guid":{"rendered":"https:\/\/mathemerize.com\/?p=9219"},"modified":"2022-01-03T19:11:46","modified_gmt":"2022-01-03T13:41:46","slug":"find-the-value-of-sin-75-degrees","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/find-the-value-of-sin-75-degrees\/","title":{"rendered":"Find the Value of Sin 75 Degrees ?"},"content":{"rendered":"
The value of sin 75 degrees<\/strong> is \\(\\sqrt{3} + 1\\over 2\\sqrt{2}\\)<\/strong>.<\/p>\n Proof :<\/strong><\/p>\n We will write sin 75 as sin (45 + 30).<\/p>\n By using formula sin (A + B) = sin A cos B + cos A sin B,<\/p>\n sin (45 + 30) = sin 45 cos 30 + cos 45 sin 30<\/p>\n \\(\\implies\\) sin 75 = \\(1\\over \\sqrt{2}\\) \\(\\times\\) \\(\\sqrt{3}\\over 2\\) + \\(1\\over \\sqrt{2}\\) \\(\\times\\) \\(1\\over 2\\)<\/p>\n \\(\\implies\\) sin 75 = \\(\\sqrt{3} + 1\\over 2\\sqrt{2}\\)<\/p>\n","protected":false},"excerpt":{"rendered":" Solution : The value of sin 75 degrees is \\(\\sqrt{3} + 1\\over 2\\sqrt{2}\\). Proof : We will write sin 75 as sin (45 + 30). By using formula sin (A + B) = sin A cos B + cos A sin B, sin (45 + 30) = sin 45 cos 30 + cos 45 sin …<\/p>\n