{"id":33729,"date":"2020-03-29T17:28:52","date_gmt":"2020-03-29T21:28:52","guid":{"rendered":"https:\/\/www.myedme.com\/login\/?p=33729"},"modified":"2020-04-01T18:58:31","modified_gmt":"2020-04-01T22:58:31","slug":"half-angle-properties","status":"publish","type":"post","link":"https:\/\/myedme.com\/login\/half-angle-properties\/","title":{"rendered":"Half-Angle Properties"},"content":{"rendered":"\n<p>There are three rules to use in these questions:<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"197\" height=\"42\" src=\"https:\/\/i0.wp.com\/www.myedme.com\/login\/wp-content\/uploads\/2020\/03\/image-4.png?resize=197%2C42&#038;ssl=1\" alt=\"\" class=\"wp-image-33730\" srcset=\"https:\/\/i0.wp.com\/myedme.com\/login\/wp-content\/uploads\/2020\/03\/image-4.png?w=197&amp;ssl=1 197w, https:\/\/i0.wp.com\/myedme.com\/login\/wp-content\/uploads\/2020\/03\/image-4.png?resize=50%2C11&amp;ssl=1 50w, https:\/\/i0.wp.com\/myedme.com\/login\/wp-content\/uploads\/2020\/03\/image-4.png?resize=100%2C21&amp;ssl=1 100w\" sizes=\"auto, (max-width: 197px) 100vw, 197px\" \/><\/figure><\/div>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"191\" height=\"41\" src=\"https:\/\/i0.wp.com\/www.myedme.com\/login\/wp-content\/uploads\/2020\/03\/image-5.png?resize=191%2C41&#038;ssl=1\" alt=\"\" class=\"wp-image-33731\" srcset=\"https:\/\/i0.wp.com\/myedme.com\/login\/wp-content\/uploads\/2020\/03\/image-5.png?w=191&amp;ssl=1 191w, https:\/\/i0.wp.com\/myedme.com\/login\/wp-content\/uploads\/2020\/03\/image-5.png?resize=50%2C11&amp;ssl=1 50w, https:\/\/i0.wp.com\/myedme.com\/login\/wp-content\/uploads\/2020\/03\/image-5.png?resize=100%2C21&amp;ssl=1 100w\" sizes=\"auto, (max-width: 191px) 100vw, 191px\" \/><\/figure><\/div>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"183\" height=\"45\" src=\"https:\/\/i0.wp.com\/www.myedme.com\/login\/wp-content\/uploads\/2020\/03\/image-6.png?resize=183%2C45&#038;ssl=1\" alt=\"\" class=\"wp-image-33732\" srcset=\"https:\/\/i0.wp.com\/myedme.com\/login\/wp-content\/uploads\/2020\/03\/image-6.png?w=183&amp;ssl=1 183w, https:\/\/i0.wp.com\/myedme.com\/login\/wp-content\/uploads\/2020\/03\/image-6.png?resize=50%2C12&amp;ssl=1 50w, https:\/\/i0.wp.com\/myedme.com\/login\/wp-content\/uploads\/2020\/03\/image-6.png?resize=100%2C25&amp;ssl=1 100w\" sizes=\"auto, (max-width: 183px) 100vw, 183px\" \/><\/figure><\/div>\n\n\n\n<h2 class=\"wp-block-heading\">Questions<\/h2>\n\n\n\n<p>Warm-up #1. Given that sin \ud835\udefc = \u22124\/5\u2009 and \ud835\udefc\u2009lies in quadrant IV, find the exact value of cos(\ud835\udefc\/2). <\/p>\n\n\n\n<p>For the following exercises, find the exact value using half-angle formulas.<\/p>\n\n\n\n<p><a href=\"https:\/\/openstax.org\/books\/algebra-and-trigonometry\/pages\/chapter-9#fs-id2079021-solution\">2<\/a>.&nbsp; sin (\ud835\udf0b\/8)\u2009<\/p>\n\n\n\n<p>3.&nbsp;cos (\u221211\ud835\udf0b\/12)<\/p>\n\n\n\n<p><a href=\"https:\/\/openstax.org\/books\/algebra-and-trigonometry\/pages\/chapter-9#fs-id2077632-solution\">4<\/a>.&nbsp;sin (11\ud835\udf0b\/12)<\/p>\n\n\n\n<p>5.&nbsp;cos (7\ud835\udf0b\/8)<\/p>\n\n\n\n<p><a href=\"https:\/\/openstax.org\/books\/algebra-and-trigonometry\/pages\/chapter-9#fs-id1274464-solution\">6<\/a>.&nbsp;tan (5\ud835\udf0b\/12)<\/p>\n\n\n\n<p>7.&nbsp;tan (\u22123\ud835\udf0b\/12)<\/p>\n\n\n\n<p><a href=\"https:\/\/openstax.org\/books\/algebra-and-trigonometry\/pages\/chapter-9#fs-id1525779-solution\">8<\/a>.&nbsp;tan (\u22123\ud835\udf0b\/8)<\/p>\n\n\n\n<p>For the following exercises, find the exact values of a) sin(\ud835\udc65\/2),&nbsp;b) cos (\ud835\udc65\/2),&nbsp;and c) tan (\ud835\udc65\/2) without solving for \ud835\udc65,\u2009\u2009when 0\u00b0 \u2264 \ud835\udc65 \u2264 360\u00b0.&nbsp;<\/p>\n\n\n\n<p>9. If tan \ud835\udc65 = \u22124\/3, and&nbsp;<em>x<\/em>\u2009is in quadrant IV.<\/p>\n\n\n\n<p><a href=\"https:\/\/openstax.org\/books\/algebra-and-trigonometry\/pages\/chapter-9#fs-id2823463-solution\">10<\/a>.&nbsp;If sin \ud835\udc65 = \u221212\/13, and \ud835\udc65\u2009is in quadrant III.<\/p>\n\n\n\n<p>11.&nbsp; If csc \ud835\udc65 = 7, and \ud835\udc65\u2009is in quadrant II.<\/p>\n\n\n\n<p><a href=\"https:\/\/openstax.org\/books\/algebra-and-trigonometry\/pages\/chapter-9#fs-id1743158-solution\">12<\/a>.&nbsp;If sec \ud835\udc65 = \u22124, and \ud835\udc65\u2009is in quadrant II.<\/p>\n\n\n\n<p>Video For Practice if Necessary (Let me know what you think about the usefulness).<\/p>\n\n\n\n<figure class=\"wp-block-embed-youtube 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_10983\"  width=\"980\" height=\"551\"  data-origwidth=\"980\" data-origheight=\"551\" data-facadesrc=\"https:\/\/www.youtube.com\/embed\/Rp61qiglwfg?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\/Rp61qiglwfg\/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\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"220\" height=\"185\" src=\"https:\/\/i0.wp.com\/www.myedme.com\/login\/wp-content\/uploads\/2020\/03\/image-7.png?resize=220%2C185&#038;ssl=1\" alt=\"\" class=\"wp-image-33733\" srcset=\"https:\/\/i0.wp.com\/myedme.com\/login\/wp-content\/uploads\/2020\/03\/image-7.png?w=220&amp;ssl=1 220w, https:\/\/i0.wp.com\/myedme.com\/login\/wp-content\/uploads\/2020\/03\/image-7.png?resize=50%2C42&amp;ssl=1 50w, https:\/\/i0.wp.com\/myedme.com\/login\/wp-content\/uploads\/2020\/03\/image-7.png?resize=100%2C84&amp;ssl=1 100w\" sizes=\"auto, (max-width: 220px) 100vw, 220px\" \/><\/figure><\/div>\n","protected":false},"excerpt":{"rendered":"<p>There are three rules to use in these questions: Questions Warm-up #1. Given that sin \ud835\udefc = \u22124\/5\u2009 and \ud835\udefc\u2009lies in quadrant IV, find the exact value of cos(\ud835\udefc\/2). For the following exercises, find the exact value using half-angle formulas. 2.&nbsp; sin (\ud835\udf0b\/8)\u2009 3.&nbsp;cos (\u221211\ud835\udf0b\/12) 4.&nbsp;sin (11\ud835\udf0b\/12) 5.&nbsp;cos (7\ud835\udf0b\/8) 6.&nbsp;tan (5\ud835\udf0b\/12) 7.&nbsp;tan (\u22123\ud835\udf0b\/12) 8.&nbsp;tan (\u22123\ud835\udf0b\/8) [&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-33729","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\/33729","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=33729"}],"version-history":[{"count":4,"href":"https:\/\/myedme.com\/login\/wp-json\/wp\/v2\/posts\/33729\/revisions"}],"predecessor-version":[{"id":33788,"href":"https:\/\/myedme.com\/login\/wp-json\/wp\/v2\/posts\/33729\/revisions\/33788"}],"wp:attachment":[{"href":"https:\/\/myedme.com\/login\/wp-json\/wp\/v2\/media?parent=33729"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/myedme.com\/login\/wp-json\/wp\/v2\/categories?post=33729"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/myedme.com\/login\/wp-json\/wp\/v2\/tags?post=33729"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}