Question

TRIGONOMETRY How many periods of the function are there between

Answer 1

The period of the tangent function is π because the graph repeats itself on intervals of kπ where k is a constant.

The function of the tan function is given below as

`y=\tan x`

The graph of the function below is given as

To determine the period between the

`\begin{gathered} -4\pi\text{ and }\pi \\ =(\pi-(-4\pi))/(\pi) \\ =(\pi+4\pi)/(\pi) \\ =(5\pi)/(\pi) \\ =5 \end{gathered}`

Hence,

The number of periods of the function y = tanx between -4π and π is 5