  {"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<h2 class=\"wp-block-heading\">Law of Sines<\/h2>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><a href=\"https:\/\/www.eastcentral.edu\/learning-center\/wp-content\/uploads\/sites\/27\/2026\/07\/Screenshot-2026-07-13-114420.png\"><img loading=\"lazy\" decoding=\"async\" width=\"407\" height=\"421\" src=\"https:\/\/www.eastcentral.edu\/learning-center\/wp-content\/uploads\/sites\/27\/2026\/07\/Screenshot-2026-07-13-114420.png\" alt=\"A blue equilateral triangle on a white background, with vertices labeled A, B, and C and sides labeled a, b, and c.\" class=\"wp-image-6569\" style=\"width:300px\" srcset=\"https:\/\/www.eastcentral.edu\/learning-center\/wp-content\/uploads\/sites\/27\/2026\/07\/Screenshot-2026-07-13-114420.png 407w, https:\/\/www.eastcentral.edu\/learning-center\/wp-content\/uploads\/sites\/27\/2026\/07\/Screenshot-2026-07-13-114420-290x300.png 290w\" sizes=\"auto, (max-width: 407px) 100vw, 407px\" \/><\/a><\/figure>\n<\/div>\n\n\n<div style=\"text-align:center; font-size:28px;\">\n\n<span style=\"display:inline-block; text-align:center; vertical-align:middle;\">\n    <span style=\"display:block; border-bottom:1px solid #000; padding:0 8px;\">\n        sin A\n    <\/span>\n    <span style=\"display:block;\">\n        a\n    <\/span>\n<\/span>\n\n&nbsp;=&nbsp;\n\n<span style=\"display:inline-block; text-align:center; vertical-align:middle;\">\n    <span style=\"display:block; border-bottom:1px solid #000; padding:0 8px;\">\n        sin B\n    <\/span>\n    <span style=\"display:block;\">\n        b\n    <\/span>\n<\/span>\n\n&nbsp;=&nbsp;\n\n<span style=\"display:inline-block; text-align:center; vertical-align:middle;\">\n    <span style=\"display:block; border-bottom:1px solid #000; padding:0 8px;\">\n        sin C\n    <\/span>\n    <span style=\"display:block;\">\n        c\n    <\/span>\n<\/span>\n\n<\/div>\n\n\n\n\n<h2 class=\"wp-block-heading\">Law of Cosines<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">For this (or any given triangle), the Law of Cosines says:<br>c<sup>2<\/sup> = a<sup>2<\/sup> + b<sup>2<\/sup> \u2212 2ab cos C<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><a href=\"https:\/\/www.eastcentral.edu\/learning-center\/wp-content\/uploads\/sites\/27\/2026\/07\/triangle-2.png\"><img loading=\"lazy\" decoding=\"async\" width=\"589\" height=\"272\" src=\"https:\/\/www.eastcentral.edu\/learning-center\/wp-content\/uploads\/sites\/27\/2026\/07\/triangle-2.png\" alt=\"A blue triangle with labeled vertices A, B, and C; sides are labeled a, b, and c.\" class=\"wp-image-6570\" style=\"width:500px\" srcset=\"https:\/\/www.eastcentral.edu\/learning-center\/wp-content\/uploads\/sites\/27\/2026\/07\/triangle-2.png 589w, https:\/\/www.eastcentral.edu\/learning-center\/wp-content\/uploads\/sites\/27\/2026\/07\/triangle-2-300x139.png 300w\" sizes=\"auto, (max-width: 589px) 100vw, 589px\" \/><\/a><\/figure>\n<\/div>\n\n\n<p class=\"wp-block-paragraph\">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<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><a href=\"https:\/\/www.eastcentral.edu\/learning-center\/wp-content\/uploads\/sites\/27\/2025\/05\/image.jpeg\"><img loading=\"lazy\" decoding=\"async\" width=\"602\" height=\"455\" src=\"https:\/\/www.eastcentral.edu\/learning-center\/wp-content\/uploads\/sites\/27\/2025\/05\/image.jpeg\" alt=\"Âé¶¹Éç Learning Center Logo\" class=\"wp-image-4893\" style=\"width:200px\" srcset=\"https:\/\/www.eastcentral.edu\/learning-center\/wp-content\/uploads\/sites\/27\/2025\/05\/image.jpeg 602w, https:\/\/www.eastcentral.edu\/learning-center\/wp-content\/uploads\/sites\/27\/2025\/05\/image-300x227.jpeg 300w\" sizes=\"auto, (max-width: 602px) 100vw, 602px\" \/><\/a><figcaption class=\"wp-element-caption\">For more help, contact The Learning Center<\/figcaption><\/figure>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>Law of Sines sin A a &nbsp;=&nbsp; sin B b &nbsp;=&nbsp; 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 [&hellip;]<\/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":""},"class_list":["post-6568","page","type-page","status-publish","hentry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.7 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Law of Sines and Cosines - Learning Center<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.eastcentral.edu\/learning-center\/law-of-sines-and-cosines\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Law of Sines and Cosines - Learning Center\" \/>\n<meta property=\"og:description\" content=\"Law of Sines sin A a &nbsp;=&nbsp; 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