What is the amplitude, period, phase shift and vertical displacement of #y=sin(x+pi/4)#?
1 Answer
Dec 18, 2017
Explanation:
#"the equation of the sine in standard form is"#
#color(red)(bar(ul(|color(white)(2/2)color(black)(y=asin(bx+c)+d)color(white)(2/2)|)))#
#"where a is the amplitude ","period "=(2pi)/b#
#"phase shift "=-c/b," vertical shift "=d#
#"here "a=1,b=1,c=pi/4,d=0#
#"amplitude "=1,"period "=(2pi)/1=2pi#
#"phase shift "=-(pi/4)/1=-pi/4#
#"there is no vertical displacement"#
