{"id":259,"date":"2012-01-05T17:32:07","date_gmt":"2012-01-05T17:32:07","guid":{"rendered":"https:\/\/schooltutoring.com\/help\/?p=259"},"modified":"2014-12-02T08:33:51","modified_gmt":"2014-12-02T08:33:51","slug":"unit-circle-and-trigonometric-ratios","status":"publish","type":"post","link":"https:\/\/schooltutoring.com\/help\/unit-circle-and-trigonometric-ratios\/","title":{"rendered":"Unit Circle and Trigonometric Ratios"},"content":{"rendered":"<p>The unit circle is a circle whose radius is one and center is at the origin.<\/p>\n<p><a href=\"https:\/\/schooltutoring.com\/wp-content\/uploads\/sites\/2\/unit-circle.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-full wp-image-260\" src=\"https:\/\/schooltutoring.com\/wp-content\/uploads\/sites\/2\/unit-circle.png\" alt=\"\" width=\"266\" height=\"267\" \/><\/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>According to Pythagorean Theorem,<\/p>\n<p>p<sup>2<\/sup> + q<sup>2<\/sup> = 1<\/p>\n<p>Also, the trigonometric functions cosine and sine may be defined on the unit circle.<\/p>\n<p>p = cos(\u03b8)<\/p>\n<p>q = sin(\u03b8)<\/p>\n<p>Therefore, the equation p<sup>2<\/sup> + q<sup>2<\/sup> = 1 gives the relation<\/p>\n<p>cos<sup>2<\/sup>(\u03b8) + sin<sup>2<\/sup>(\u03b8) = 1<\/p>\n<p>Also,<\/p>\n<p>tan (\u03b8) = sin(\u03b8)\/ cos(\u03b8) = q\/p<\/p>\n<p>cosec (\u03b8) = 1\/sin(\u03b8) = 1\/q<\/p>\n<p>sec (\u03b8) = 1\/cos (\u03b8) = 1\/p<\/p>\n<p>cot (\u03b8) = 1\/tan (\u03b8) = p\/q<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The unit circle is a circle whose radius is one and center is at the origin. &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; According to Pythagorean Theorem, p2 + q2 = 1 Also, the trigonometric functions cosine and sine may be defined on the unit circle. p = cos(\u03b8) q = sin(\u03b8) [&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":[14,18],"tags":[],"class_list":["post-259","post","type-post","status-publish","format-standard","hentry","category-pre-calculus","category-trigonometry"],"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/posts\/259","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=259"}],"version-history":[{"count":0,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/posts\/259\/revisions"}],"wp:attachment":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/media?parent=259"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/categories?post=259"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/tags?post=259"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}