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Chapter 6: Q 127 (page 397)

Show that the period of fθ=tanθis π.

Short Answer

Expert verified

From the following graph of tangent function f(θ)=tanθit is clear that the period of tangent function is π.

Step by step solution

01

Step 1. Given Information 

We have to prove that the period of tangent function is π.

We will draw the graph of this function. After that from the graph we will examine the period of the function.

02

Step 2. To find period of tangent function    

The given function is :-

f(θ)=tanθ.

By using graphing utilities, we have the following graph of this function :-

We can see that curve of the graph repeated itself.

We know that the period of a function is where from the graph of function repeated itself.

We can see that the graph from 0to data-custom-editor="chemistry" πis same as π to 2π, -πto 0and so on.

So we can conclude that the period of this function isπ.

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