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Question

The domain of fx=1cosx+cosx is


A

4n-1π2,4n+1π2

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B

4n+1π2,4n-1π2

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C

,n+1π

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D

2nπ-π2,π2+2

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Solution

The correct option is D

2nπ-π2,π2+2


Explanation for the correct option :

Find the domain of the fx,

Consider the given Equation as,

fx=1cosx+cosx

In the above Equation under root

cosx+cosx>0cosx+cosx0

Let us say

gx=cosx+cosx=2cosx,cosx>00cosx<0

From the graph,

x-π2,π2

cosx Period is equal to 2π, then the intervals are

2π-π2,2π+π24π-π2,4π+π2

Since,

x2nπ-π2,2nπ+π2

Hence, the correct answer is Option D.


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