{"id":9298,"date":"2022-01-05T20:06:52","date_gmt":"2022-01-05T14:36:52","guid":{"rendered":"https:\/\/mathemerize.com\/?p=9298"},"modified":"2022-06-18T02:09:58","modified_gmt":"2022-06-17T20:39:58","slug":"what-is-the-formula-of-sin-c-sin-d-2","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/what-is-the-formula-of-sin-c-sin-d-2\/","title":{"rendered":"What is the Formula of Sin C – Sin D ?"},"content":{"rendered":"
The formula of sin C – sin D<\/strong> is 2 sin(\\(C – D\\over 2\\)) cos(\\(C + D\\over 2\\))<\/strong>.<\/p>\n Example<\/strong><\/span> : Express sin \\(6\\theta\\) – sin \\(2\\theta\\) as a product.<\/p>\n Solution<\/span><\/strong> : We have,<\/p>\n sin \\(6\\theta\\) – sin \\(2\\theta\\) = 2 sin(\\(6\\theta – 2\\theta\\over 2\\)) cos(\\(6\\theta + 2\\theta\\over 2\\))<\/p>\n = 2 sin \\(2\\theta\\) cos \\(4\\theta\\)<\/p>\n What is the Formula of Sin C + Sin D ?<\/a><\/p>\n What is the Formula of Cos C + Cos D ?<\/a><\/p>\n
\nSimilar Formulas<\/h2>\n