{"id":20031,"date":"2022-09-18T04:48:53","date_gmt":"2022-09-18T04:48:53","guid":{"rendered":"https:\/\/mdr.foobrdigital.com\/?p=7757"},"modified":"2022-09-18T04:48:53","modified_gmt":"2022-09-18T04:48:53","slug":"sum-and-difference-identities","status":"publish","type":"post","link":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/2022\/09\/18\/sum-and-difference-identities\/","title":{"rendered":"Sum And Difference Identities"},"content":{"rendered":"\n<p>In these lessons we will learn<\/p>\n\n\n\n<ul><li>the sum identities and difference identities for sine, cosine and tangent.<\/li><li>how to use the sum identities and difference identities to simplify trigonometric expressions.<\/li><li>how to use the sum identities and difference identities to prove other trigonometric identities.<\/li><\/ul>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"what\">What are the Sum and Difference Identities?<\/h3>\n\n\n\n<p>The following shows the Sum and Difference Identities for sin, cos and tan. Scroll down the page for more examples and solutions on how to use the identities.<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.onlinemathlearning.com\/image-files\/sum-difference-identities.png\" alt=\"Sum and Difference Identities\" title=\"Sum and Difference Identities\"\/><\/figure>\n\n\n\n<p><strong>Example:<\/strong><br><img loading=\"lazy\" decoding=\"async\" height=\"45\" src=\"https:\/\/www.onlinemathlearning.com\/image-files\/sum-identities_clip_image002.gif\" width=\"107\"><\/p>\n\n\n\n<p><strong>Solution:<\/strong><br>Given that cos(\u03b1 + \u03b2) = cos \u03b1 cos \u03b2 \u2013 sin \u03b1 sin \u03b2, then<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.onlinemathlearning.com\/image-files\/sum-identities_clip_image004.gif\" alt=\"\"\/><\/figure>\n\n\n\n<p><strong>Example:<\/strong><br><img loading=\"lazy\" decoding=\"async\" height=\"45\" src=\"https:\/\/www.onlinemathlearning.com\/image-files\/sum-identities_clip_image006.gif\" width=\"205\"><\/p>\n\n\n\n<p><strong>Solution:<\/strong><br><img loading=\"lazy\" decoding=\"async\" height=\"120\" src=\"https:\/\/www.onlinemathlearning.com\/image-files\/sum-identities_clip_image008.gif\" width=\"245\"><\/p>\n\n\n\n<p><strong>How to use the sum and difference identities for sin, cos, and tan?<\/strong><\/p>\n\n\n\n<p><strong>Example:<\/strong><\/p>\n\n\n\n<ol><li>Find sin(105\u00b0) exactly<\/li><li>Find cos(105\u00b0) exactly<\/li><li>Find tan(105\u00b0) exactly<\/li><\/ol>\n","protected":false},"excerpt":{"rendered":"<p>In these lessons we will learn the sum identities and difference identities for sine, cosine and tangent. how to use the sum identities and difference identities to simplify trigonometric expressions. how to use the sum identities and difference identities to prove other trigonometric identities. What are the Sum and Difference Identities? The following shows the [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[310],"tags":[],"_links":{"self":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/20031"}],"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=20031"}],"version-history":[{"count":0,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/20031\/revisions"}],"wp:attachment":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/media?parent=20031"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/categories?post=20031"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/tags?post=20031"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}