{"id":7810,"date":"2022-09-20T20:35:30","date_gmt":"2022-09-20T20:35:30","guid":{"rendered":"https:\/\/mdr.foobrdigital.com\/?p=7810"},"modified":"2022-09-20T20:35:30","modified_gmt":"2022-09-20T20:35:30","slug":"half-angle-formula-of-cos-derivation","status":"publish","type":"post","link":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/2022\/09\/20\/half-angle-formula-of-cos-derivation\/","title":{"rendered":"Half Angle Formula of Cos Derivation"},"content":{"rendered":"\n<p>Now, we will prove the half angle formula for the cosine function. Using one of the above formulas of cos A,<\/p>\n\n\n\n<p>cos A = 2 cos<sup>2<\/sup>(A\/2) &#8211; 1<\/p>\n\n\n\n<p>From this,<\/p>\n\n\n\n<p>2 cos<sup>2<\/sup>(A\/2) = 1 + cos A<\/p>\n\n\n\n<p>cos<sup>2<\/sup>&nbsp;(A\/2) = (1 + cos A) \/ 2<\/p>\n\n\n\n<p>cos (A\/2) = \u00b1\u221a[(1 + cos A) \/ 2]<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Now, we will prove the half angle formula for the cosine function. Using one of the above formulas of cos A, cos A = 2 cos2(A\/2) &#8211; 1 From this, 2 cos2(A\/2) = 1 + cos A cos2&nbsp;(A\/2) = (1 + cos A) \/ 2 cos (A\/2) = \u00b1\u221a[(1 + cos A) \/ 2]<\/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\/7810"}],"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=7810"}],"version-history":[{"count":0,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/7810\/revisions"}],"wp:attachment":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/media?parent=7810"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/categories?post=7810"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/tags?post=7810"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}