{"id":34,"date":"2018-06-25T17:44:39","date_gmt":"2018-06-25T21:44:39","guid":{"rendered":"https:\/\/pressbooks.bccampus.ca\/trigforelectricians\/?post_type=chapter&#038;p=34"},"modified":"2019-01-28T13:07:41","modified_gmt":"2019-01-28T18:07:41","slug":"trigonometry-functions","status":"publish","type":"chapter","link":"https:\/\/pressbooks.bccampus.ca\/trigforelectricians\/chapter\/trigonometry-functions\/","title":{"raw":"Trigonometry Functions","rendered":"Trigonometry Functions"},"content":{"raw":"When determining the designate angle we can use different ratios of sides.\r\n<ul>\r\n \t<li>We can use a ratio of the opposite to the hypotenuse.<\/li>\r\n \t<li>We can use a ratio of the adjacent to the hypotenuse.<\/li>\r\n \t<li>We can use a ration of the opposite to the adjacent.<\/li>\r\n<\/ul>\r\nEach ratio has a trigonometric function that helps turn the ratio into an angle.\u00a0 They are:\r\n<ul>\r\n \t<li>sin \u03b8 = opposite\/hypotenuse<\/li>\r\n \t<li>cos \u03b8 = adjacent\/hypotenuse<\/li>\r\n \t<li>tan \u03b8 = opposite\/adjacent<\/li>\r\n<\/ul>\r\nOne way of remembering the ratios are these mnemonics:\r\n<ul>\r\n \t<li>SOH - Sine is opposite\/ hypotenuse<\/li>\r\n \t<li>CAH - Cosine is adjacent\/hypotenuse<\/li>\r\n \t<li>TOA - Tangent is opposite\/ adjacent<\/li>\r\n<\/ul>\r\nBy the way,\r\n<ul>\r\n \t<li>sin is short for sine<\/li>\r\n \t<li>cos is short for cosine<\/li>\r\n \t<li>tan is short for tangent<\/li>\r\n<\/ul>\r\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\" style=\"text-align: center\"><strong>Video!<\/strong><\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n<p style=\"text-align: center\">This video walks through how to determine the angle of a right triangle when you have two sides.<\/p>\r\n\r\n<div class=\"video-container\">\r\n\r\n[embed] https:\/\/youtu.be\/qJX9l_8WThs [\/embed]\r\n\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n&nbsp;\r\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\" style=\"text-align: center\"><strong>Video!<\/strong><\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n<p style=\"text-align: center\">This video walks through how to determine the other sides of a triangle when you have an angle and one side.<\/p>\r\n\r\n<div class=\"video-container\">\r\n\r\n[embed] https:\/\/youtu.be\/Aildd3S2eVI [\/embed]\r\n\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<h1>Attributions<\/h1>\r\n<a href=\"https:\/\/youtu.be\/qJX9l_8WThs\">Trigonometry (Part one)<\/a>.video by <a href=\"https:\/\/www.youtube.com\/channel\/UCRm79BcxKhOWRj6CQAB_Cqg\">The Electric Academy<\/a> is under a <a href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">Creative Commons Attribution Licence<\/a>.\r\n\r\n<a href=\"https:\/\/youtu.be\/Aildd3S2eVI\">Trigonometry (Part two)<\/a>.video by <a href=\"https:\/\/www.youtube.com\/channel\/UCRm79BcxKhOWRj6CQAB_Cqg\">The Electric Academy<\/a> is under a <a href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">Creative Commons Attribution Licence<\/a>.\r\n\r\n&nbsp;","rendered":"<p>When determining the designate angle we can use different ratios of sides.<\/p>\n<ul>\n<li>We can use a ratio of the opposite to the hypotenuse.<\/li>\n<li>We can use a ratio of the adjacent to the hypotenuse.<\/li>\n<li>We can use a ration of the opposite to the adjacent.<\/li>\n<\/ul>\n<p>Each ratio has a trigonometric function that helps turn the ratio into an angle.\u00a0 They are:<\/p>\n<ul>\n<li>sin \u03b8 = opposite\/hypotenuse<\/li>\n<li>cos \u03b8 = adjacent\/hypotenuse<\/li>\n<li>tan \u03b8 = opposite\/adjacent<\/li>\n<\/ul>\n<p>One way of remembering the ratios are these mnemonics:<\/p>\n<ul>\n<li>SOH &#8211; Sine is opposite\/ hypotenuse<\/li>\n<li>CAH &#8211; Cosine is adjacent\/hypotenuse<\/li>\n<li>TOA &#8211; Tangent is opposite\/ adjacent<\/li>\n<\/ul>\n<p>By the way,<\/p>\n<ul>\n<li>sin is short for sine<\/li>\n<li>cos is short for cosine<\/li>\n<li>tan is short for tangent<\/li>\n<\/ul>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\" style=\"text-align: center\"><strong>Video!<\/strong><\/p>\n<\/header>\n<div class=\"textbox__content\">\n<p style=\"text-align: center\">This video walks through how to determine the angle of a right triangle when you have two sides.<\/p>\n<div class=\"video-container\">\n<p><iframe loading=\"lazy\" id=\"oembed-1\" title=\"Trigonometry (Part one)\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/qJX9l_8WThs?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<\/div>\n<\/div>\n<\/div>\n<p>&nbsp;<\/p>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\" style=\"text-align: center\"><strong>Video!<\/strong><\/p>\n<\/header>\n<div class=\"textbox__content\">\n<p style=\"text-align: center\">This video walks through how to determine the other sides of a triangle when you have an angle and one side.<\/p>\n<div class=\"video-container\">\n<p><iframe loading=\"lazy\" id=\"oembed-2\" title=\"Trigonometry (Part two)\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/Aildd3S2eVI?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<\/div>\n<\/div>\n<\/div>\n<h1>Attributions<\/h1>\n<p><a href=\"https:\/\/youtu.be\/qJX9l_8WThs\">Trigonometry (Part one)<\/a>.video by <a href=\"https:\/\/www.youtube.com\/channel\/UCRm79BcxKhOWRj6CQAB_Cqg\">The Electric Academy<\/a> is under a <a href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">Creative Commons Attribution Licence<\/a>.<\/p>\n<p><a href=\"https:\/\/youtu.be\/Aildd3S2eVI\">Trigonometry (Part two)<\/a>.video by <a href=\"https:\/\/www.youtube.com\/channel\/UCRm79BcxKhOWRj6CQAB_Cqg\">The Electric Academy<\/a> is under a <a href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">Creative Commons Attribution Licence<\/a>.<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"author":422,"menu_order":5,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-34","chapter","type-chapter","status-publish","hentry"],"part":46,"_links":{"self":[{"href":"https:\/\/pressbooks.bccampus.ca\/trigforelectricians\/wp-json\/pressbooks\/v2\/chapters\/34","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pressbooks.bccampus.ca\/trigforelectricians\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/pressbooks.bccampus.ca\/trigforelectricians\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/trigforelectricians\/wp-json\/wp\/v2\/users\/422"}],"version-history":[{"count":18,"href":"https:\/\/pressbooks.bccampus.ca\/trigforelectricians\/wp-json\/pressbooks\/v2\/chapters\/34\/revisions"}],"predecessor-version":[{"id":573,"href":"https:\/\/pressbooks.bccampus.ca\/trigforelectricians\/wp-json\/pressbooks\/v2\/chapters\/34\/revisions\/573"}],"part":[{"href":"https:\/\/pressbooks.bccampus.ca\/trigforelectricians\/wp-json\/pressbooks\/v2\/parts\/46"}],"metadata":[{"href":"https:\/\/pressbooks.bccampus.ca\/trigforelectricians\/wp-json\/pressbooks\/v2\/chapters\/34\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/pressbooks.bccampus.ca\/trigforelectricians\/wp-json\/wp\/v2\/media?parent=34"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/trigforelectricians\/wp-json\/pressbooks\/v2\/chapter-type?post=34"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/trigforelectricians\/wp-json\/wp\/v2\/contributor?post=34"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/trigforelectricians\/wp-json\/wp\/v2\/license?post=34"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}