{"id":33705,"date":"2020-03-29T18:14:18","date_gmt":"2020-03-29T22:14:18","guid":{"rendered":"https:\/\/www.myedme.com\/login\/?p=33705"},"modified":"2020-04-09T18:13:58","modified_gmt":"2020-04-09T22:13:58","slug":"sum-difference-properties-for-sin-and-cos","status":"publish","type":"post","link":"https:\/\/myedme.com\/login\/sum-difference-properties-for-sin-and-cos\/","title":{"rendered":"Sum &#038; Difference Properties for sin and cos"},"content":{"rendered":"\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"592\" height=\"160\" src=\"https:\/\/i0.wp.com\/www.myedme.com\/login\/wp-content\/uploads\/2020\/03\/image-9.png?resize=592%2C160&#038;ssl=1\" alt=\"\" class=\"wp-image-33745\" srcset=\"https:\/\/i0.wp.com\/myedme.com\/login\/wp-content\/uploads\/2020\/03\/image-9.png?w=592&amp;ssl=1 592w, https:\/\/i0.wp.com\/myedme.com\/login\/wp-content\/uploads\/2020\/03\/image-9.png?resize=300%2C81&amp;ssl=1 300w, https:\/\/i0.wp.com\/myedme.com\/login\/wp-content\/uploads\/2020\/03\/image-9.png?resize=50%2C14&amp;ssl=1 50w, https:\/\/i0.wp.com\/myedme.com\/login\/wp-content\/uploads\/2020\/03\/image-9.png?resize=100%2C27&amp;ssl=1 100w, https:\/\/i0.wp.com\/myedme.com\/login\/wp-content\/uploads\/2020\/03\/image-9.png?resize=416%2C112&amp;ssl=1 416w\" sizes=\"auto, (max-width: 592px) 100vw, 592px\" \/><\/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=\"566\" height=\"160\" src=\"https:\/\/i0.wp.com\/www.myedme.com\/login\/wp-content\/uploads\/2020\/03\/image-10.png?resize=566%2C160&#038;ssl=1\" alt=\"\" class=\"wp-image-33746\" srcset=\"https:\/\/i0.wp.com\/myedme.com\/login\/wp-content\/uploads\/2020\/03\/image-10.png?w=566&amp;ssl=1 566w, https:\/\/i0.wp.com\/myedme.com\/login\/wp-content\/uploads\/2020\/03\/image-10.png?resize=300%2C85&amp;ssl=1 300w, https:\/\/i0.wp.com\/myedme.com\/login\/wp-content\/uploads\/2020\/03\/image-10.png?resize=50%2C14&amp;ssl=1 50w, https:\/\/i0.wp.com\/myedme.com\/login\/wp-content\/uploads\/2020\/03\/image-10.png?resize=100%2C28&amp;ssl=1 100w, https:\/\/i0.wp.com\/myedme.com\/login\/wp-content\/uploads\/2020\/03\/image-10.png?resize=416%2C118&amp;ssl=1 416w\" sizes=\"auto, (max-width: 566px) 100vw, 566px\" \/><\/figure><\/div>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large is-resized\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" src=\"https:\/\/i0.wp.com\/www.myedme.com\/login\/wp-content\/uploads\/2020\/04\/image.png?resize=336%2C114&#038;ssl=1\" alt=\"\" class=\"wp-image-33815\" width=\"336\" height=\"114\" srcset=\"https:\/\/i0.wp.com\/myedme.com\/login\/wp-content\/uploads\/2020\/04\/image.png?w=215&amp;ssl=1 215w, https:\/\/i0.wp.com\/myedme.com\/login\/wp-content\/uploads\/2020\/04\/image.png?resize=50%2C17&amp;ssl=1 50w, https:\/\/i0.wp.com\/myedme.com\/login\/wp-content\/uploads\/2020\/04\/image.png?resize=100%2C34&amp;ssl=1 100w\" sizes=\"auto, (max-width: 336px) 100vw, 336px\" \/><\/figure><\/div>\n\n\n\n<h2 class=\"wp-block-heading\">Questions<\/h2>\n\n\n\n<p><strong>Section 1.<\/strong> For the following exercises, find the exact value.<\/p>\n\n\n\n<p>1.&nbsp;cos(7\ud835\udf0b\/12)<\/p>\n\n\n\n<p><a href=\"https:\/\/openstax.org\/books\/algebra-and-trigonometry\/pages\/chapter-9#fs-id2686776-solution\">2<\/a>.&nbsp;cos(\ud835\udf0b\/12)<\/p>\n\n\n\n<p>3.&nbsp;sin(5\ud835\udf0b\/12)<\/p>\n\n\n\n<p><a href=\"https:\/\/openstax.org\/books\/algebra-and-trigonometry\/pages\/chapter-9#fs-id1662806-solution\">4<\/a>.&nbsp;sin(11\ud835\udf0b\/12)<\/p>\n\n\n\n<p>5.&nbsp;tan(\u2212\ud835\udf0b\/12)<\/p>\n\n\n\n<p><a href=\"https:\/\/openstax.org\/books\/algebra-and-trigonometry\/pages\/chapter-9#fs-id2641720-solution\">6<\/a>.&nbsp;tan(19\ud835\udf0b\/12)<\/p>\n\n\n\n<p><strong>Section 2.<\/strong> For the following exercises, rewrite in terms of sin\ud835\udc65\u2009and cos \ud835\udc65.<\/p>\n\n\n\n<p>7.&nbsp;sin(\ud835\udc65 + 11\ud835\udf0b\/6)<\/p>\n\n\n\n<p><a href=\"https:\/\/openstax.org\/books\/algebra-and-trigonometry\/pages\/chapter-9#fs-id1924818-solution\">8<\/a>.&nbsp;sin(\ud835\udc65 \u2212 3\ud835\udf0b\/4)<\/p>\n\n\n\n<p>9.&nbsp; cos(\ud835\udc65 \u2212 5\ud835\udf0b\/6)<\/p>\n\n\n\n<p><a href=\"https:\/\/openstax.org\/books\/algebra-and-trigonometry\/pages\/chapter-9#fs-id1923485-solution\">10<\/a>.&nbsp; cos(\ud835\udc65 + 2\ud835\udf0b\/3)<\/p>\n\n\n\n<p><strong>Section 3. <\/strong>Use the unit circle and\/or the properties for finding sin and cos values to solve these questions:<\/p>\n\n\n\n<p>11.&nbsp;225\u00b0<\/p>\n\n\n\n<p><a href=\"https:\/\/openstax.org\/books\/algebra-and-trigonometry\/pages\/chapter-7#fs-id2754876-solution\">12<\/a>.&nbsp;300\u00b0<\/p>\n\n\n\n<p>13. 320\u00b0<\/p>\n\n\n\n<p><a href=\"https:\/\/openstax.org\/books\/algebra-and-trigonometry\/pages\/chapter-7#fs-id1861812-solution\">14<\/a>.&nbsp;135\u00b0<\/p>\n\n\n\n<p>15.&nbsp;210\u00b0<\/p>\n\n\n\n<p><a href=\"https:\/\/openstax.org\/books\/algebra-and-trigonometry\/pages\/chapter-7#fs-id1828541-solution\">16<\/a>.&nbsp;120\u00b0<\/p>\n\n\n\n<p>17. 250\u00b0<\/p>\n\n\n\n<p><a href=\"https:\/\/openstax.org\/books\/algebra-and-trigonometry\/pages\/chapter-7#fs-id2131080-solution\">18<\/a>. 150\u00b0<\/p>\n\n\n\n<p>19.&nbsp;5\ud835\udf0b\/4<\/p>\n\n\n\n<p><a href=\"https:\/\/openstax.org\/books\/algebra-and-trigonometry\/pages\/chapter-7#fs-id2387394-solution\">20<\/a>.&nbsp;7\ud835\udf0b\/6<\/p>\n\n\n\n<p><strong>Section 4. <\/strong>For the following exercises, simplify the given expression.<\/p>\n\n\n\n<p>21.&nbsp;csc(\ud835\udf0b\/2\u2212\ud835\udc61)<\/p>\n\n\n\n<p><a href=\"https:\/\/openstax.org\/books\/algebra-and-trigonometry\/pages\/chapter-9#fs-id1931167-solution\">21<\/a>.&nbsp;sec(\ud835\udf0b\/2\u2212\ud835\udf03)<\/p>\n\n\n\n<p>22.&nbsp;cot(\ud835\udf0b\/2\u2212\ud835\udc65)<\/p>\n\n\n\n<p><a href=\"https:\/\/openstax.org\/books\/algebra-and-trigonometry\/pages\/chapter-9#fs-id1223240-solution\">23<\/a>.&nbsp;tan(\ud835\udf0b\/2\u2212\ud835\udc65)<\/p>\n\n\n\n<p>24.&nbsp;sin(2\ud835\udc65)cos(5\ud835\udc65)\u2212sin(5\ud835\udc65)cos(2\ud835\udc65)<\/p>\n\n\n\n<p><a href=\"https:\/\/openstax.org\/books\/algebra-and-trigonometry\/pages\/chapter-9#fs-id1359485-solution\">25<\/a>.&nbsp;<\/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=\"116\" height=\"54\" src=\"https:\/\/i0.wp.com\/www.myedme.com\/login\/wp-content\/uploads\/2020\/03\/image-12.png?resize=116%2C54&#038;ssl=1\" alt=\"\" class=\"wp-image-33751\" srcset=\"https:\/\/i0.wp.com\/myedme.com\/login\/wp-content\/uploads\/2020\/03\/image-12.png?w=116&amp;ssl=1 116w, https:\/\/i0.wp.com\/myedme.com\/login\/wp-content\/uploads\/2020\/03\/image-12.png?resize=50%2C23&amp;ssl=1 50w, https:\/\/i0.wp.com\/myedme.com\/login\/wp-content\/uploads\/2020\/03\/image-12.png?resize=100%2C47&amp;ssl=1 100w\" sizes=\"auto, (max-width: 116px) 100vw, 116px\" \/><\/figure><\/div>\n\n\n\n<p><strong>Review: Section 5. <\/strong>For the following exercises, find the requested value.<\/p>\n\n\n\n<p>1.&nbsp; If cos (\ud835\udc61)= 1\/7\u2009and \ud835\udc61\u2009t\u2009is in the fourth quadrant, find sin (\ud835\udc61).<\/p>\n\n\n\n<p><a href=\"https:\/\/openstax.org\/books\/algebra-and-trigonometry\/pages\/chapter-7#fs-id2394861-solution\">2<\/a>.&nbsp;If cos (\ud835\udc61)= 2\/9\u2009and \ud835\udc61\u2009t\u2009is in the first quadrant, find sin (\ud835\udc61).<\/p>\n\n\n\n<p>3.&nbsp; If sin (\ud835\udc61) = 3\/8\u2009and \ud835\udc61\u2009t\u2009is in the second quadrant, find cos (\ud835\udc61).<\/p>\n\n\n\n<p><a href=\"https:\/\/openstax.org\/books\/algebra-and-trigonometry\/pages\/chapter-7#fs-id2236753-solution\">4<\/a>.\u00a0 If sin (\ud835\udc61) = \u22121\/4\u2009and \u2009and \ud835\udc61\u2009t\u2009is in the third quadrant, find cos (\ud835\udc61).<br><\/p>\n\n\n\n<figure class=\"wp-block-embed-youtube 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_25726\"  width=\"980\" height=\"551\"  data-origwidth=\"980\" data-origheight=\"551\" data-facadesrc=\"https:\/\/www.youtube.com\/embed\/sU2pyMR8GZ4?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\/sU2pyMR8GZ4\/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>Questions Section 1. For the following exercises, find the exact value. 1.&nbsp;cos(7\ud835\udf0b\/12) 2.&nbsp;cos(\ud835\udf0b\/12) 3.&nbsp;sin(5\ud835\udf0b\/12) 4.&nbsp;sin(11\ud835\udf0b\/12) 5.&nbsp;tan(\u2212\ud835\udf0b\/12) 6.&nbsp;tan(19\ud835\udf0b\/12) Section 2. For the following exercises, rewrite in terms of sin\ud835\udc65\u2009and cos \ud835\udc65. 7.&nbsp;sin(\ud835\udc65 + 11\ud835\udf0b\/6) 8.&nbsp;sin(\ud835\udc65 \u2212 3\ud835\udf0b\/4) 9.&nbsp; cos(\ud835\udc65 \u2212 5\ud835\udf0b\/6) 10.&nbsp; cos(\ud835\udc65 + 2\ud835\udf0b\/3) Section 3. Use the unit circle and\/or the properties for finding [&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-33705","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\/33705","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=33705"}],"version-history":[{"count":5,"href":"https:\/\/myedme.com\/login\/wp-json\/wp\/v2\/posts\/33705\/revisions"}],"predecessor-version":[{"id":33886,"href":"https:\/\/myedme.com\/login\/wp-json\/wp\/v2\/posts\/33705\/revisions\/33886"}],"wp:attachment":[{"href":"https:\/\/myedme.com\/login\/wp-json\/wp\/v2\/media?parent=33705"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/myedme.com\/login\/wp-json\/wp\/v2\/categories?post=33705"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/myedme.com\/login\/wp-json\/wp\/v2\/tags?post=33705"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}