{"id":33740,"date":"2020-03-29T18:01:07","date_gmt":"2020-03-29T22:01:07","guid":{"rendered":"https:\/\/www.myedme.com\/login\/?p=33740"},"modified":"2020-04-07T18:33:29","modified_gmt":"2020-04-07T22:33:29","slug":"double-angle-properties-for-trigonometry","status":"publish","type":"post","link":"https:\/\/myedme.com\/login\/double-angle-properties-for-trigonometry\/","title":{"rendered":"Double Angle Properties for Trigonometry"},"content":{"rendered":"\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"212\" height=\"228\" src=\"https:\/\/i0.wp.com\/www.myedme.com\/login\/wp-content\/uploads\/2020\/03\/image-8.png?resize=212%2C228&#038;ssl=1\" alt=\"\" class=\"wp-image-33742\" srcset=\"https:\/\/i0.wp.com\/myedme.com\/login\/wp-content\/uploads\/2020\/03\/image-8.png?w=212&amp;ssl=1 212w, https:\/\/i0.wp.com\/myedme.com\/login\/wp-content\/uploads\/2020\/03\/image-8.png?resize=46%2C50&amp;ssl=1 46w, https:\/\/i0.wp.com\/myedme.com\/login\/wp-content\/uploads\/2020\/03\/image-8.png?resize=93%2C100&amp;ssl=1 93w\" sizes=\"auto, (max-width: 212px) 100vw, 212px\" \/><\/figure><\/div>\n\n\n\n<p>Use the rules above to solve the questions listed below. For the following exercises, do not solve for <em>x<\/em> but find the exact values of <\/p>\n\n\n\n<ol type=\"a\"><li>sin(2\ud835\udc65)<\/li><li>cos(2x)<li>tan(2x)<\/li><\/ol>\n\n\n\n<p><a href=\"https:\/\/openstax.org\/books\/algebra-and-trigonometry\/pages\/chapter-9#fs-id2141772-solution\">5<\/a>.&nbsp;If sin \ud835\udc65 = 1\/8, and \ud835\udc65\u2009is in quadrant I.<\/p>\n\n\n\n<p>6.&nbsp;If cos \ud835\udc65 = 2\/3,\u2009and \ud835\udc65\u2009is in quadrant I.<\/p>\n\n\n\n<p><a href=\"https:\/\/openstax.org\/books\/algebra-and-trigonometry\/pages\/chapter-9#fs-id2708435-solution\">7<\/a>.&nbsp;If cos \ud835\udc65 = \u22121\/2, and \ud835\udc65&nbsp;is in quadrant III.<\/p>\n\n\n\n<p>8.&nbsp;If tan \ud835\udc65 = \u22128,\u2009and \ud835\udc65\u2009is in quadrant IV.<\/p>\n\n\n\n<p>For the following exercises, find the values of &nbsp;sin (2\ud835\udf03),&nbsp;cos (2\ud835\udf03), tan (2\ud835\udf03),&nbsp;cot (2\ud835\udf03), sec (2\ud835\udf03),&nbsp;csc (2\ud835\udf03) if the conditions provided hold.<\/p>\n\n\n\n<p><a href=\"https:\/\/openstax.org\/books\/algebra-and-trigonometry\/pages\/chapter-9#fs-id2126720-solution\">9<\/a>.&nbsp;cos (2\ud835\udf03) = 3\/5\u2009and 90\u00b0 \u2264 \ud835\udf03 \u2264 180\u00b0<\/p>\n\n\n\n<p>10.&nbsp;cos (2\ud835\udf03) = 1\/2\u2009and 180\u00b0 \u2264 \ud835\udf03 \u2264 270\u00b0<br><\/p>\n\n\n\n<figure class=\"wp-block-embed-youtube aligncenter wp-block-embed is-type-video is-provider-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<div class=\"epyt-video-wrapper\"><div  id=\"_ytid_69356\"  width=\"980\" height=\"551\"  data-origwidth=\"980\" data-origheight=\"551\" data-facadesrc=\"https:\/\/www.youtube.com\/embed\/-zhCYiHcVIE?enablejsapi=1&#038;autoplay=0&#038;cc_load_policy=0&#038;cc_lang_pref=&#038;iv_load_policy=1&#038;loop=0&#038;rel=1&#038;fs=1&#038;playsinline=0&#038;autohide=2&#038;theme=dark&#038;color=red&#038;controls=1&#038;disablekb=0&#038;\" class=\"__youtube_prefs__ epyt-facade epyt-is-override  no-lazyload\" data-epautoplay=\"1\" ><img data-recalc-dims=\"1\" decoding=\"async\" data-spai-excluded=\"true\" class=\"epyt-facade-poster skip-lazy\" loading=\"lazy\"  alt=\"YouTube player\"  src=\"https:\/\/i0.wp.com\/i.ytimg.com\/vi\/-zhCYiHcVIE\/maxresdefault.jpg?w=980&#038;ssl=1\"  \/><button class=\"epyt-facade-play\" aria-label=\"Play\"><svg data-no-lazy=\"1\" height=\"100%\" version=\"1.1\" viewBox=\"0 0 68 48\" width=\"100%\"><path class=\"ytp-large-play-button-bg\" d=\"M66.52,7.74c-0.78-2.93-2.49-5.41-5.42-6.19C55.79,.13,34,0,34,0S12.21,.13,6.9,1.55 C3.97,2.33,2.27,4.81,1.48,7.74C0.06,13.05,0,24,0,24s0.06,10.95,1.48,16.26c0.78,2.93,2.49,5.41,5.42,6.19 C12.21,47.87,34,48,34,48s21.79-0.13,27.1-1.55c2.93-0.78,4.64-3.26,5.42-6.19C67.94,34.95,68,24,68,24S67.94,13.05,66.52,7.74z\" fill=\"#f00\"><\/path><path d=\"M 45,24 27,14 27,34\" fill=\"#fff\"><\/path><\/svg><\/button><\/div><\/div>\n<\/div><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Use the rules above to solve the questions listed below. For the following exercises, do not solve for x but find the exact values of sin(2\ud835\udc65) cos(2x) tan(2x) 5.&nbsp;If sin \ud835\udc65 = 1\/8, and \ud835\udc65\u2009is in quadrant I. 6.&nbsp;If cos \ud835\udc65 = 2\/3,\u2009and \ud835\udc65\u2009is in quadrant I. 7.&nbsp;If cos \ud835\udc65 = \u22121\/2, and \ud835\udc65&nbsp;is in [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"nf_dc_page":"","_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[1],"tags":[],"class_list":["post-33740","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/myedme.com\/login\/wp-json\/wp\/v2\/posts\/33740","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/myedme.com\/login\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/myedme.com\/login\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/myedme.com\/login\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/myedme.com\/login\/wp-json\/wp\/v2\/comments?post=33740"}],"version-history":[{"count":4,"href":"https:\/\/myedme.com\/login\/wp-json\/wp\/v2\/posts\/33740\/revisions"}],"predecessor-version":[{"id":33862,"href":"https:\/\/myedme.com\/login\/wp-json\/wp\/v2\/posts\/33740\/revisions\/33862"}],"wp:attachment":[{"href":"https:\/\/myedme.com\/login\/wp-json\/wp\/v2\/media?parent=33740"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/myedme.com\/login\/wp-json\/wp\/v2\/categories?post=33740"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/myedme.com\/login\/wp-json\/wp\/v2\/tags?post=33740"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}