{"id":67631,"date":"2018-02-20T23:50:30","date_gmt":"2018-02-20T23:50:30","guid":{"rendered":"https:\/\/writemyessayfree.com\/what-is-the-derivative-of-sinxsinxcosx-3"},"modified":"2017-08-18T05:50:10","modified_gmt":"2017-08-18T05:50:10","slug":"what-is-the-derivative-of-sinxsinxcosx-3","status":"publish","type":"post","link":"https:\/\/www.benedictsol.com\/blogs\/what-is-the-derivative-of-sinxsinxcosx-3\/","title":{"rendered":"What is the derivative of ##sinx(sinx+cosx)##?"},"content":{"rendered":"<p>The answer is ##cos^2(x)-sin^2(x)+2cos(x)sin(x)=cos(2x)+sin(2x)##<\/p>\n<p>First, use the to say <\/p>\n<p>##d\/dx(sin(x)(sin(x)+cos(x)))=cos(x)(sin(x)+cos(x))+sin(x)(cos(x)-sin(x))##<\/p>\n<p>Next, expand this out to write <\/p>\n<p>##d\/dx(sin(x)(sin(x)+cos(x)))=cos^2(x)-sin^2(x)+2cos(x)sin(x)##<\/p>\n<p>Finally, use the double-angle formulas ##cos^2(x)-sin^2(x)=cos(2x)## and ##2cos(x)sin(x)=sin(2x)## to write <\/p>\n<p>##d\/dx(sin(x)(sin(x)+cos(x)))=cos(2x)+sin(2x)##<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The answer is ##cos^2(x)-sin^2(x)+2cos(x)sin(x)=cos(2x)+sin(2x)## First, use the to say ##d\/dx(sin(x)(sin(x)+cos(x)))=cos(x)(sin(x)+cos(x))+sin(x)(cos(x)-sin(x))## Next, expand this out to write ##d\/dx(sin(x)(sin(x)+cos(x)))=cos^2(x)-sin^2(x)+2cos(x)sin(x)## Finally, use the double-angle formulas ##cos^2(x)-sin^2(x)=cos(2x)## and ##2cos(x)sin(x)=sin(2x)## to write ##d\/dx(sin(x)(sin(x)+cos(x)))=cos(2x)+sin(2x)##<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[],"tags":[],"class_list":["post-67631","post","type-post","status-publish","format-standard","hentry"],"_links":{"self":[{"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/posts\/67631","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/comments?post=67631"}],"version-history":[{"count":0,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/posts\/67631\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/media?parent=67631"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/categories?post=67631"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/tags?post=67631"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}