First, the graph of ##y=cos(x-pi\/2)## will have some characteristics of the regular cosine function. I also use a general form for trig functions: ##y = a cos(b ( x – c)) + d## where |a| = amplitude, ##2pi\/|b|## = period, x = c is the horizontal phase shift, and d = vertical shift.<\/p>\n
1) amplitude = 1 since there is no multiplier other than “1” in front of the cosine.<\/p>\n
2) period = ##2pi## since the regular period of cosine is ##2pi##, and there is no multiplier other than a “1” attached to the x.<\/p>\n
3) Solving ##x – pi\/2=0## tells us that there is a phase shift (horizontal translation) of ##pi\/2## to the right.<\/p>\n
The bright, red graph is your graph! Compare it to the dotted, blue graph of cosine. Do you recognize the changes itemized above?<\/p>\n","protected":false},"excerpt":{"rendered":"
First, the graph of ##y=cos(x-pi\/2)## will have some characteristics of the regular cosine function. I also use a general form for trig functions: ##y = a cos(b ( x – c)) + d## where |a| = amplitude, ##2pi\/|b|## = period, Read More …<\/a><\/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-67726","post","type-post","status-publish","format-standard","hentry"],"_links":{"self":[{"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/posts\/67726","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=67726"}],"version-history":[{"count":0,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/posts\/67726\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/media?parent=67726"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/categories?post=67726"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/tags?post=67726"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}