{"id":20034,"date":"2022-09-20T20:35:02","date_gmt":"2022-09-20T20:35:02","guid":{"rendered":"https:\/\/mdr.foobrdigital.com\/?p=7808"},"modified":"2022-09-20T20:35:02","modified_gmt":"2022-09-20T20:35:02","slug":"half-angle-formula-of-sin-proof","status":"publish","type":"post","link":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/2022\/09\/20\/half-angle-formula-of-sin-proof\/","title":{"rendered":"Half Angle Formula of Sin Proof"},"content":{"rendered":"\n<p>Now, we will prove the half angle formula for the sine function. Using one of the above formulas of cos A, we have<\/p>\n\n\n\n<p>cos A = 1 &#8211; 2 sin<sup>2<\/sup>&nbsp;(A\/2)<\/p>\n\n\n\n<p>From this,<\/p>\n\n\n\n<p>2 sin<sup>2<\/sup>&nbsp;(A\/2) = 1 &#8211; cos A<\/p>\n\n\n\n<p>sin<sup>2<\/sup>&nbsp;(A\/2) = (1 &#8211; cos A) \/ 2<\/p>\n\n\n\n<p>sin (A\/2) = \u00b1\u221a[(1 &#8211; cos A) \/ 2]<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Now, we will prove the half angle formula for the sine function. Using one of the above formulas of cos A, we have cos A = 1 &#8211; 2 sin2&nbsp;(A\/2) From this, 2 sin2&nbsp;(A\/2) = 1 &#8211; cos A sin2&nbsp;(A\/2) = (1 &#8211; cos A) \/ 2 sin (A\/2) = \u00b1\u221a[(1 &#8211; cos A) \/ [&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\/20034"}],"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=20034"}],"version-history":[{"count":0,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/20034\/revisions"}],"wp:attachment":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/media?parent=20034"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/categories?post=20034"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/tags?post=20034"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}