{"id":165799,"date":"2024-03-30T14:29:42","date_gmt":"2024-03-30T08:59:42","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=165799"},"modified":"2024-03-30T14:29:42","modified_gmt":"2024-03-30T08:59:42","slug":"if-cos%ce%b1-cos%ce%b2-a-and-sin%ce%b1-sin%ce%b2-b-find-sin%ce%b1-%ce%b2","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/if-cos%ce%b1-cos%ce%b2-a-and-sin%ce%b1-sin%ce%b2-b-find-sin%ce%b1-%ce%b2\/","title":{"rendered":"If cos\u03b1 + cos\u03b2 = A and sin\u03b1 + sin\u03b2 = B, find sin(\u03b1 \u2013 \u03b2)"},"content":{"rendered":"\n<p> If cos\u03b1 + cos\u03b2 = A and sin\u03b1 + sin\u03b2 = B, find sin(\u03b1 \u2013 \u03b2).<\/p>\n\n\n\n<p>(a) A<sup>2<\/sup>+B<sup>2<\/sup>-2\/2<\/p>\n\n\n\n<p>(b) A<sup>2<\/sup>+B<sup>2<\/sup>+2\/2<\/p>\n\n\n\n<p>(c) A\u00b2 \u2013 B\u00b2 + 1<\/p>\n\n\n\n<p><strong>(d) A\u00b2 + B\u00b2 \u2013 4<\/strong><\/p>\n\n\n\n<p><strong>Sol:<\/strong><\/p>\n\n\n\n<p>Put \u03b1 = \u03b2 = 0<\/p>\n\n\n\n<p>A = 2<\/p>\n\n\n\n<p>B = 0<\/p>\n\n\n\n<p>Sin0 = 0<\/p>\n\n\n\n<p>Only option D satisfies<\/p>\n\n\n\n<p>(4) + 0 \u2013 4 = 0<\/p>\n","protected":false},"excerpt":{"rendered":"<p>If cos\u03b1 + cos\u03b2 = A and sin\u03b1 + sin\u03b2 = B, find sin(\u03b1 \u2013 \u03b2). (a) A2+B2-2\/2 (b) A2+B2+2\/2 (c) A\u00b2 \u2013 B\u00b2 + 1 (d) A\u00b2 + B\u00b2 \u2013 4 Sol: Put \u03b1 = \u03b2 = 0 A = 2 B = 0 Sin0 = 0 Only option D satisfies (4) + 0 [&hellip;]<\/p>\n","protected":false},"author":419,"featured_media":165800,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[5138],"tags":[5139],"offerexpiration":[],"class_list":["post-165799","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-quantitative-aptitude","tag-quantitative-aptitude"],"_links":{"self":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/165799","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/users\/419"}],"replies":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/comments?post=165799"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/165799\/revisions"}],"predecessor-version":[{"id":165801,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/165799\/revisions\/165801"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/165800"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=165799"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=165799"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=165799"},{"taxonomy":"offerexpiration","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/offerexpiration?post=165799"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}