What is the phase shift for the function: f( x ) = \sin ( 2x - \frac { \pi } { 3} ) + \frac { \pi } { 2}?

1 Answer
May 2, 2018

pi/6

Explanation:

First, get the equation into the form:
y=asinb(x-c)+d. This requires factoring out x's coefficeintL
y=sin2(2/2x-pi/(3*2))+pi/2 Simplify:
y=sin2(x-pi/6)+pi/2

Since the phase shift is -c, and the c term is -pi/6, the phase shift is pi/6.