How do you write an equation of the cosine function with amplitude 2, period pi, and phase shift pi/2?
1 Answer
Sep 12, 2016
Explanation:
The standard form of the
#color(blue)"cosine function"# is
#color(red)(bar(ul(|color(white)(a/a)color(black)(y=acos(bx+c)+d)color(white)(a/a)|)))# where amplitude = | a | , period
#=(2pi)/b# phase shift
#=-c/b" and vertical shift" =d# here amplitude = 2 and d = 0
period
#=(2pi)/brArrb=(2pi)/(pi)=2# phase shift
#=-c/brArrc=-2xxpi/2=-pi# Thus equation is
#y=2cos(2x-pi)#
