{"id":6573,"date":"2026-07-13T13:29:15","date_gmt":"2026-07-13T18:29:15","guid":{"rendered":"https:\/\/www.eastcentral.edu\/learning-center\/?page_id=6573"},"modified":"2026-07-13T13:29:33","modified_gmt":"2026-07-13T18:29:33","slug":"trig-values-on-the-unit-circle","status":"publish","type":"page","link":"https:\/\/www.eastcentral.edu\/learning-center\/trig-values-on-the-unit-circle\/","title":{"rendered":"Trig Values on the Unit Circle"},"content":{"rendered":"<p>*Trig values for the other quadrants can be easily derived from their first-quadrant values.<\/p>\n<p>*To use these values, you must determine the reference angles for each angle measurement in the other quadrants. A reference angle is an angle created by the terminal side of an angle and the x-axis as the other side. From the reference angle, you can determine the equivalent angle in the first quadrant and then assign the +\/- sign associated with the function in that quadrant.<\/p>\n<p>*Here are the signs associated with the different functions in each of the four quadrants.<\/p>\n<p style=\"padding-left: 80px;\">Quadrant 1: Sine, cosine, and tangent are all positive <br \/>Quadrant 2: Sine is positive; cosine and tangent are negative. <br \/>Quadrant 3: Sine and cosine are negative; tangent is positive. <br \/>Quadrant 4: Sine and tangent are negative; cosine is positive.<\/p>\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=\"91ԭƬ 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>*Trig values for the other quadrants can be easily derived from their first-quadrant values. *To use these values, you must determine the reference angles for each angle measurement in the other quadrants. A reference angle is an angle created by the terminal side of an angle and the x-axis as the other side. From the [&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":""},"yst_prominent_words":[],"class_list":["post-6573","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.eastcentral.edu\/learning-center\/wp-json\/wp\/v2\/pages\/6573","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=6573"}],"version-history":[{"count":4,"href":"https:\/\/www.eastcentral.edu\/learning-center\/wp-json\/wp\/v2\/pages\/6573\/revisions"}],"predecessor-version":[{"id":6577,"href":"https:\/\/www.eastcentral.edu\/learning-center\/wp-json\/wp\/v2\/pages\/6573\/revisions\/6577"}],"wp:attachment":[{"href":"https:\/\/www.eastcentral.edu\/learning-center\/wp-json\/wp\/v2\/media?parent=6573"}],"wp:term":[{"taxonomy":"yst_prominent_words","embeddable":true,"href":"https:\/\/www.eastcentral.edu\/learning-center\/wp-json\/wp\/v2\/yst_prominent_words?post=6573"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}