Chapter 13.4, Problem 7E

Solution

To find: The graph of the given functions and obtain the similarities and differences.

The graph of both the functions are similar and there is no difference between them.

Given:

The functions $y=\sin x$ and $y=\cos \left(x-\frac{\pi }{2}\right)$ .

Concept used:

Substitute the given function in the graphing calculator to obtain the graph of the function.

Calculation:

The graph of $y=\sin x$ and $y=\cos \left(x-\frac{\pi }{2}\right)$ have been obtained below using the graphing calculator.

  

Both the functions have been drawn in above graph but only one is appearing. Both the curve overlaps each other because they are identical and no difference between them and due to this only one curve is appearing.

Conclusion:

Hence, the graph of both functions is identical.