Question

What is the period of the function f(theta)=13tan(theta/4)shown in the graph?A. pi/4B. piC. 2piD. 4pi

Answer 1

Given:

The function is given:

`f(\theta)=13\tan ((\theta)/(4))`

To find:

The period of the function.

Solution:

It is known that the period of the function A tan (nx) is pi/n.

So, the period of the given function is:

`\begin{gathered} \text{Period}=(\pi)/((1)/(4)) \\ =4\pi \end{gathered}`

Thus, the period of the given function is 4pi.

Thus, option D is correct.