For a sinusoidal functionfx 3 sin x and graphs of f x and a

For a sinusoidal function,f(x) = 3 sin x), and graphs of f (x) and a second sinusoidal function g (x), find the phase shift; that is find by what fraction of a period f (x) must be shifted to obtain g (x). Using this, find a formula forg (2,3) (4,3)g 16

Solution

phase shift =-C/B
here,
-C/(pi/4)=(4-2)
-C=2(pi/4)
C=-pi/2
g(x)=Asin(Bx+C)
g(x)=3sin((pi/4)x-pi/2) is the final equation required