Chapter 13.5, Problem 8OE

To determine

The period of the function

Explanation of Solution

Given information:

The given function is $y=3\tan \frac{\pi }{4}x$

Calculations:

Here the given function is

  $y=3\tan \frac{\pi }{4}x$ .

If a function is of the form,

  $y=a\tan (bx+c)+d\text{ or, }y=a\cot (bx+c)+d$

Then the period of the function is

  $Period=\frac{\pi }{b}$

  $\begin{array}{l}Here,\\ b=\frac{\pi }{4}\\ Therefore,\\ Period=\frac{\pi }{\frac{\pi }{4}}=4\end{array}$