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TRIGONOMETRY How many periods of the function are there between

TRIGONOMETRY How many periods of the function are there between-example-1
User Jinsoo
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Answer:

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

TRIGONOMETRY How many periods of the function are there between-example-1
User Task
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