How do you find the amplitude, period, vertical and phase shift and graph #y=sin(theta-pi/2)#?

1 Answer
Jim G.
Mar 8, 2017

#1,2pi,0,pi/2#

Explanation:

The standard form of the #color(blue)"sine function"# is.

#color(red)(bar(ul(|color(white)(2/2)color(black)(y=asin(bx+c)+d)color(white)(2/2)|)))#

#"where amplitude "=|a|" period "=(2pi)/b#

#"phase shift "=-c/b" and vertical shift" =d#

#"here "a=1,b=1,c=-pi/2,d=0#

#rArr"amplitude "=|1|=1" period "=(2pi)/1=2pi#

#"phase shift "=-(-pi/2)/1=pi/2" there is no vertical shift"#

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