Chapter 13.4, Problem 45WE

To determine

To Show: The graph $y=\cos \left(x-\frac{\pi }{2}\right)$ is a sine curve.

Explanation of Solution

Given: $y=\cos \left(x-\frac{\pi }{2}\right)$

Given: $y=\cos \left(x-\frac{\pi }{2}\right)$

The graph is in the form of $y=\cos (x-d)$

The graph of function is shown below.

  

The graph is a sine curve,

Because the function has zero at $x=0.$

Hence

The graph $y=\cos \left(x-\frac{\pi }{2}\right)$ is a sine curve.