{"id":6568,"date":"2026-07-13T13:23:23","date_gmt":"2026-07-13T18:23:23","guid":{"rendered":"https:\/\/www.eastcentral.edu\/learning-center\/?page_id=6568"},"modified":"2026-07-13T13:23:50","modified_gmt":"2026-07-13T18:23:50","slug":"law-of-sines-and-cosines","status":"publish","type":"page","link":"https:\/\/www.eastcentral.edu\/learning-center\/law-of-sines-and-cosines\/","title":{"rendered":"Law of Sines and Cosines"},"content":{"rendered":"\n

Law of Sines<\/h2>\n\n\n
\n
\"A<\/a><\/figure>\n<\/div>\n\n\n
\n\n\n \n sin A\n <\/span>\n \n a\n <\/span>\n<\/span>\n\n = \n\n\n \n sin B\n <\/span>\n \n b\n <\/span>\n<\/span>\n\n = \n\n\n \n sin C\n <\/span>\n \n c\n <\/span>\n<\/span>\n\n<\/div>\n\n\n\n\n

Law of Cosines<\/h2>\n\n\n\n

For this (or any given triangle), the Law of Cosines says:
c2<\/sup> = a2<\/sup> + b2<\/sup> \u2212 2ab cos C<\/p>\n\n\n

\n
\"A<\/a><\/figure>\n<\/div>\n\n\n

This law is helpful if you need to find the angles of a triangle but know all the side lengths, or if you want to solve for the third side of a triangle when you know the lengths of the other two sides and the angle between them.<\/p>\n\n\n

\n
\"91ԭƬ<\/a>
For more help, contact The Learning Center<\/figcaption><\/figure>\n<\/div>","protected":false},"excerpt":{"rendered":"

Law of Sines sin A a  =  sin B b  =  sin C c Law of Cosines For this (or any given triangle), the Law of Cosines says:c2 = a2 + b2 \u2212 2ab cos C This law is helpful if you need to find the angles of a triangle but know all the side […]<\/p>\n","protected":false},"author":12,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_eb_attr":"","footnotes":""},"yst_prominent_words":[],"class_list":["post-6568","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.eastcentral.edu\/learning-center\/wp-json\/wp\/v2\/pages\/6568","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.eastcentral.edu\/learning-center\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.eastcentral.edu\/learning-center\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.eastcentral.edu\/learning-center\/wp-json\/wp\/v2\/users\/12"}],"replies":[{"embeddable":true,"href":"https:\/\/www.eastcentral.edu\/learning-center\/wp-json\/wp\/v2\/comments?post=6568"}],"version-history":[{"count":1,"href":"https:\/\/www.eastcentral.edu\/learning-center\/wp-json\/wp\/v2\/pages\/6568\/revisions"}],"predecessor-version":[{"id":6571,"href":"https:\/\/www.eastcentral.edu\/learning-center\/wp-json\/wp\/v2\/pages\/6568\/revisions\/6571"}],"wp:attachment":[{"href":"https:\/\/www.eastcentral.edu\/learning-center\/wp-json\/wp\/v2\/media?parent=6568"}],"wp:term":[{"taxonomy":"yst_prominent_words","embeddable":true,"href":"https:\/\/www.eastcentral.edu\/learning-center\/wp-json\/wp\/v2\/yst_prominent_words?post=6568"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}