Chapter 9, Problem 5CA

To determine

To find which function is not represented by the given graph.

Answer to Problem 5CA

B. $y=5\cos \left(\frac{\pi }{2}-x\right)$

C. $y=5\cos \left(x+\frac{\pi }{2}\right)$

D. $y=-5\sin (x+\pi )$

Explanation of Solution

Given:

The given graph is

  

Calculation:

The above graph is the representation of the function $y=5\sin x$

Therefore, the following functions are not represented by the above graph and these are −

B. $y=5\cos \left(\frac{\pi }{2}-x\right)$

C. $y=5\cos \left(x+\frac{\pi }{2}\right)$

D. $y=-5\sin (x+\pi )$