Determine whether the following statement is true or false T

Determine whether the following statement is true or false. The graph of y = cos (3x + 2pi/2) has phase shift - 2pi/9. Is the statement true or false? False, the phase shift is 2pi/3. True. False, the phase shift is 2pi/9. False, the phase shift is -2pi/3.

Solution

y= cos(3x+ 2*pi/3) --------------------------------1

general equation is , y = a* cos [k(x-b)]

a = amplitude

time period = 2*pi/k

phase shift = b

eq 1 may be written as:

y = cos[ 3(x- ( -2*pi/9)

by comparing it with general eq:

phase shift = - 2*pi/9

or phase shift = 2*pi/9 to the left

so given statement is true.