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Chapter 6: Q 124 (page 397)

Show that the period off(胃)=cos胃is2蟺.

Short Answer

Expert verified

From the following graph of cosine function f(胃)=cos胃it is clear that the period of cosine function is 2蟺.

Step by step solution

01

Step 1. Given Information

We have to prove that the period of cosine function is 2蟺.

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 cosine function 

The given function is :-

f(胃)=cos胃.

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 after 2蟺, repeating itself as it is from 0to 2蟺.

Similarly the graph is from -2蟺to 0is same as 0to 2蟺.

So we can conclude that the period of the given function is 2蟺.

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