{"id":1894,"date":"2022-04-02T08:29:12","date_gmt":"2022-04-02T08:29:12","guid":{"rendered":"https:\/\/mdr.foobrdigital.com\/?p=1894"},"modified":"2022-04-02T08:29:12","modified_gmt":"2022-04-02T08:29:12","slug":"list-of-trigonometry-formulas","status":"publish","type":"post","link":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/2022\/04\/02\/list-of-trigonometry-formulas\/","title":{"rendered":"List of Trigonometry Formulas"},"content":{"rendered":"\n<p>The Trigonometric formulas or Identities are the equations which are true in the case of Right-Angled Triangles. Some of the special&nbsp;trigonometric identities&nbsp;are given below \u2013<\/p>\n\n\n\n<ol><li><strong>Pythagorean Identities<\/strong><\/li><\/ol>\n\n\n\n<ul><li>sin\u00b2\u03b8 + cos\u00b2\u03b8 = 1<\/li><li>tan<sup>2<\/sup>\u03b8 + 1 = sec<sup>2<\/sup>\u03b8<\/li><li>cot<sup>2<\/sup>\u03b8 + 1 = cosec<sup>2<\/sup>\u03b8<\/li><li>sin 2\u03b8 = 2 sin \u03b8 cos \u03b8<\/li><li>cos 2\u03b8 = cos\u00b2\u03b8 \u2013 sin\u00b2\u03b8<\/li><li>tan 2\u03b8 = 2 tan \u03b8 \/ (1 \u2013 tan\u00b2\u03b8)<\/li><li>cot 2\u03b8 = (cot\u00b2\u03b8 \u2013 1) \/ 2 cot \u03b8<\/li><\/ul>\n\n\n\n<ol start=\"2\"><li><strong>Sum and Difference identities-<\/strong><\/li><\/ol>\n\n\n\n<p>For angles u and v, we have the following relationships:<\/p>\n\n\n\n<ul><li>sin(u + v) = sin(u)cos(v) + cos(u)sin(v)<\/li><li>cos(u + v) = cos(u)cos(v) \u2013 sin(u)sin(v)<\/li><li>tan(u+v) =<\/li><\/ul>\n\n\n\n<p>[tanu\u2212tanv \/<\/p>\n\n\n\n<p>1+tanutanv]<\/p>\n\n\n\n<ul><li>sin(u \u2013 v) = sin(u)cos(v) \u2013 cos(u)sin(v)<\/li><li>cos(u \u2013 v) = cos(u)cos(v) + sin(u)sin(v)<\/li><li>tan(u-v) =<\/li><\/ul>\n\n\n\n<p>[tanu\u2212tan\/v1+tanutanv]\u00a0<\/p>\n\n\n\n<ol start=\"3\"><li><strong>If A, B and C are angles and a, b and c are the sides of a triangle, then,<\/strong><\/li><\/ol>\n\n\n\n<p><strong>Sine Laws<\/strong><\/p>\n\n\n\n<ul><li>a\/sinA = b\/sinB = c\/sinC<\/li><\/ul>\n\n\n\n<p><strong>Cosine Laws<\/strong><\/p>\n\n\n\n<ul><li>c<sup>2&nbsp;<\/sup>= a<sup>2&nbsp;<\/sup>+ b<sup>2&nbsp;<\/sup>\u2013 2ab cos C<\/li><li>a<sup>2&nbsp;<\/sup>= b<sup>2&nbsp;<\/sup>+ c<sup>2&nbsp;<\/sup>\u2013 2bc cos A<\/li><li>b<sup>2&nbsp;<\/sup>= a<sup>2&nbsp;<\/sup>+ c<sup>2&nbsp;<\/sup>\u2013 2ac cos B<\/li><\/ul>\n","protected":false},"excerpt":{"rendered":"<p>The Trigonometric formulas or Identities are the equations which are true in the case of Right-Angled Triangles. Some of the special&nbsp;trigonometric identities&nbsp;are given below \u2013 Pythagorean Identities sin\u00b2\u03b8 + cos\u00b2\u03b8 = 1 tan2\u03b8 + 1 = sec2\u03b8 cot2\u03b8 + 1 = cosec2\u03b8 sin 2\u03b8 = 2 sin \u03b8 cos \u03b8 cos 2\u03b8 = cos\u00b2\u03b8 \u2013 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[228],"tags":[],"_links":{"self":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/1894"}],"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=1894"}],"version-history":[{"count":0,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/1894\/revisions"}],"wp:attachment":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/media?parent=1894"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/categories?post=1894"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/tags?post=1894"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}