{"id":7794,"date":"2022-09-20T20:13:43","date_gmt":"2022-09-20T20:13:43","guid":{"rendered":"https:\/\/mdr.foobrdigital.com\/?p=7794"},"modified":"2022-09-20T20:13:43","modified_gmt":"2022-09-20T20:13:43","slug":"double-angle-formulas-of-sin","status":"publish","type":"post","link":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/2022\/09\/20\/double-angle-formulas-of-sin\/","title":{"rendered":"Double Angle Formulas of Sin"},"content":{"rendered":"\n<p>The sum formula of sine function is,<\/p>\n\n\n\n<p>sin (A +&nbsp;B) = sin A cos B + cos A sin B<\/p>\n\n\n\n<p>When A = B, the above formula becomes,<\/p>\n\n\n\n<p>sin (A + A) = sin A cos A + cos A sin A<\/p>\n\n\n\n<p>sin 2A = 2 sin A cos A<\/p>\n\n\n\n<p>Let us derive an alternate formula for sin 2A&nbsp;in terms of tan&nbsp;using the Pythagorean identity sec<sup>2<\/sup>A = 1 + tan<sup>2<\/sup>A.<\/p>\n\n\n\n<p>sin2A=2sinAcosA=2sinAcos2AcosA=2sinAcosA\u22c5cos2A=2tanA\u22c51sec2A=2tanA1+tan2Asin\u20612A=2sin\u2061Acos\u2061A=2sin\u2061Acos2\u2061Acos\u2061A=2sin\u2061Acos\u2061A\u22c5cos2\u2061A=2tan\u2061A\u22c51sec2\u2061A=2tan\u2061A1+tan2\u2061A<\/p>\n\n\n\n<p>Thus, the double angle formulas of sine function are<\/p>\n\n\n\n<p>sin 2A = 2 sin A cos A (or)&nbsp;(2 tan A) \/&nbsp;(1 +&nbsp;tan<sup>2<\/sup>A)<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The sum formula of sine function is, sin (A +&nbsp;B) = sin A cos B + cos A sin B When A = B, the above formula becomes, sin (A + A) = sin A cos A + cos A sin A sin 2A = 2 sin A cos A Let us derive an alternate [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[229],"tags":[],"_links":{"self":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/7794"}],"collection":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/comments?post=7794"}],"version-history":[{"count":0,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/7794\/revisions"}],"wp:attachment":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/media?parent=7794"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/categories?post=7794"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/tags?post=7794"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}