Chapter 0.6, Problem 62E

To determine

To graph: one period of the given function.

Answer to Problem 62E

  

Where the interval of the graph for one period is $\left[1,0.03333\right]$

Explanation of Solution

Given:

  $f\left(x\right)=\cos \left(60\pi x\right)$

Calculation:

The period of the given function is $\left|\frac{2\pi }{B}\right|$ , where $B=60\pi$ .

That is,

  $\begin{array}{c}\left|\frac{2\pi }{B}\right|=\left|\frac{2\pi }{60\pi }\right|\\ =\frac{1}{30}\end{array}$

Thus, each period is length $\frac{1}{30}=0.333$

The amplitude is $1$ .

Now the graph is,

  

Where the interval of the graph for one period is $\left[1,0.03333\right]$