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Question

The period of the function f(x)=cosx2+|sinx| is:


A

2π

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B

π

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C

4π

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D

None of these

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Solution

The correct option is A

2π


Explanation for the correct option:

Compute the period of the given function.

We know that the period of sinx=2π and |sinx|=π

And the period of cosx=2π and |cosx|=π

So, period of cosx2=2π

Now, given f(x)=cosx2+|sinx|

Period of f(x)=g(x)+h(x)= L.C.M (T1,T2)

cosx2=2π

|sinx|=π

Thus, the Period of f(x) =2π

Hence, Option(A) is the correct answer


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