  {"id":6597,"date":"2026-07-14T08:46:10","date_gmt":"2026-07-14T13:46:10","guid":{"rendered":"https:\/\/www.eastcentral.edu\/learning-center\/?page_id=6597"},"modified":"2026-07-14T08:46:19","modified_gmt":"2026-07-14T13:46:19","slug":"the-reciprocal-trig-ratios","status":"publish","type":"page","link":"https:\/\/www.eastcentral.edu\/learning-center\/the-reciprocal-trig-ratios\/","title":{"rendered":"The Reciprocal Trig Ratios"},"content":{"rendered":"<p>*In addition to the three trig ratios covered so far (sine, cosine, and tangent), three other trig\u00a0ratios are reciprocals of each of these ratios. <br \/>*They are:<\/p>\n<p style=\"margin-bottom: 0;\">Cosecant = <span style=\"display: inline-block; text-align: center; vertical-align: middle;\"> <span style=\"display: block; border-bottom: 1px solid #000; padding: 0 4px;\"> <i>hypotenuse<\/i> <\/span> <span style=\"display: block;\"> <i>opposite<\/i> <\/span> <\/span> :<\/p>\n<p style=\"margin-top: 0;\">(This ratio (abbreviated csc) is the reciprocal of the sine function.)<\/p>\n<p>\u00a0<\/p>\n<p style=\"margin-bottom: 0;\">Cotangent = <span style=\"display: inline-block; text-align: center; vertical-align: middle;\"> <span style=\"display: block; border-bottom: 1px solid #000; padding: 0 4px;\"> <i>adjacent<\/i> <\/span> <span style=\"display: block;\"> <i>opposite<\/i> <\/span> <\/span> :<\/p>\n<p style=\"margin-top: 0;\">(This ratio (abbreviated cot) is the reciprocal of the tangent function.)<\/p>\n<p>\u00a0<\/p>\n<p style=\"margin-bottom: 0;\">Secant = <span style=\"display: inline-block; text-align: center; vertical-align: middle;\"> <span style=\"display: block; border-bottom: 1px solid #000; padding: 0 4px;\"> <i>hypotenuse<\/i> <\/span> <span style=\"display: block;\"> <i>adjacent<\/i> <\/span> <\/span> :<\/p>\n<p style=\"margin-top: 0;\">(This ratio (abbreviated sec) is the reciprocal of the cosine function.)<\/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>*In addition to the three trig ratios covered so far (sine, cosine, and tangent), three other trig\u00a0ratios are reciprocals of each of these ratios. *They are: Cosecant = hypotenuse opposite : (This ratio (abbreviated csc) is the reciprocal of the sine function.) \u00a0 Cotangent = adjacent opposite : (This ratio (abbreviated cot) is the reciprocal [&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-6597","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.eastcentral.edu\/learning-center\/wp-json\/wp\/v2\/pages\/6597","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=6597"}],"version-history":[{"count":6,"href":"https:\/\/www.eastcentral.edu\/learning-center\/wp-json\/wp\/v2\/pages\/6597\/revisions"}],"predecessor-version":[{"id":6603,"href":"https:\/\/www.eastcentral.edu\/learning-center\/wp-json\/wp\/v2\/pages\/6597\/revisions\/6603"}],"wp:attachment":[{"href":"https:\/\/www.eastcentral.edu\/learning-center\/wp-json\/wp\/v2\/media?parent=6597"}],"wp:term":[{"taxonomy":"yst_prominent_words","embeddable":true,"href":"https:\/\/www.eastcentral.edu\/learning-center\/wp-json\/wp\/v2\/yst_prominent_words?post=6597"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}