How do you find the amplitude, period, vertical and phase shift and graph #y=sin(theta-pi/2)#?
1 Answer
Mar 8, 2017
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"#
