Chapter 6.7, Problem 3CFU

To determine

To find: two different phase shifts for the given situation.

Answer to Problem 3CFU

  $\frac{\pi }{2}\text{ and }\frac{-3\pi }{2}$

Explanation of Solution

Given information:

The phase shift of secant function would result to be cosecant function.

Calculation:

Convert the secant function to cosecant as shown below.

  $\begin{array}{c}\sec \left(x+\frac{\pi }{2}\right)=\sec \left(x-\frac{3\pi }{2}\right)\\ =\csc x\end{array}$

Thus the phase shift $\frac{\pi }{2}\text{ and }\frac{-3\pi }{2}$ of secant would result to be cosecant functions.