{"id":320,"date":"2012-01-10T15:01:05","date_gmt":"2012-01-10T15:01:05","guid":{"rendered":"https:\/\/schooltutoring.com\/help\/?p=320"},"modified":"2014-12-02T08:33:50","modified_gmt":"2014-12-02T08:33:50","slug":"introduction-to-sine-law","status":"publish","type":"post","link":"https:\/\/schooltutoring.com\/help\/introduction-to-sine-law\/","title":{"rendered":"Introduction to Sine Law"},"content":{"rendered":"<p>The Law of Sines is an equation relating the sides of a triangle to the sines of its angles. This law is also known as Sine Law, Sine Formula or Sine Rule. According to Law of Sines:<\/p>\n<p><a href=\"https:\/\/schooltutoring.com\/wp-content\/uploads\/sites\/2\/sine-eqn1.png\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-321\" src=\"https:\/\/schooltutoring.com\/wp-content\/uploads\/sites\/2\/sine-eqn1.png\" alt=\"\" width=\"150\" height=\"57\" \/><\/a><\/p>\n<p>where a, b, and c are the lengths of the sides of the triangle, and A, B and C are the opposite angles. As shown in the figure below side a faces angle A, side b faces angle B and side c faces angle C.<\/p>\n<p><a href=\"https:\/\/schooltutoring.com\/wp-content\/uploads\/sites\/2\/sine-law.png\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-323\" src=\"https:\/\/schooltutoring.com\/wp-content\/uploads\/sites\/2\/sine-law.png\" alt=\"\" width=\"357\" height=\"198\" \/><\/a><\/p>\n<p>The equation can also written using the reciprocal of the above equation:<\/p>\n<p><a href=\"https:\/\/schooltutoring.com\/wp-content\/uploads\/sites\/2\/sin-eqn2.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-full wp-image-324\" src=\"https:\/\/schooltutoring.com\/wp-content\/uploads\/sites\/2\/sin-eqn2.png\" alt=\"\" width=\"154\" height=\"57\" \/><\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>Law of sines is used when:<\/p>\n<p><strong>Case 1<\/strong>: When<span style=\"text-decoration: underline\">2 sides and an angle<\/span> are given and an angle opposite a known side is to be measured.<\/p>\n<p><a href=\"https:\/\/schooltutoring.com\/wp-content\/uploads\/sites\/2\/sine-law-exmpl1.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-full wp-image-325\" src=\"https:\/\/schooltutoring.com\/wp-content\/uploads\/sites\/2\/sine-law-exmpl1.png\" alt=\"\" width=\"226\" height=\"421\" \/><\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Case 2<\/strong>: When <span style=\"text-decoration: underline\">2 angles and a side<\/span> are known the side opposite a known angle is to be measured.<\/p>\n<p><a href=\"https:\/\/schooltutoring.com\/wp-content\/uploads\/sites\/2\/sine-law-exmpl2.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-full wp-image-327\" src=\"https:\/\/schooltutoring.com\/wp-content\/uploads\/sites\/2\/sine-law-exmpl2.png\" alt=\"\" width=\"236\" height=\"361\" \/><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>The Law of Sines is an equation relating the sides of a triangle to the sines of its angles. This law is also known as Sine Law, Sine Formula or Sine Rule. According to Law of Sines: where a, b, and c are the lengths of the sides of the triangle, and A, B and [&hellip;]<\/p>\n","protected":false},"author":19,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"inline_featured_image":false,"footnotes":""},"categories":[18],"tags":[1008,1650,1651,1652],"class_list":["post-320","post","type-post","status-publish","format-standard","hentry","category-trigonometry","tag-lawofsines","tag-sineformula","tag-sinelaw","tag-sinerule"],"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/posts\/320","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/users\/19"}],"replies":[{"embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/comments?post=320"}],"version-history":[{"count":0,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/posts\/320\/revisions"}],"wp:attachment":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/media?parent=320"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/categories?post=320"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/tags?post=320"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}