The domain of $$fx=1cosx+cosx$$ is

Correct option is 44n-1π2,4n+1π2,n∈Z

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The domain of $f (x) = \frac{1}{\sqrt{|\cos x| + \cos x}}$ is

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-2nπ,2nπ,n∈Z

2nπ,2n+1π,n∈Z

4n+1π2,4n+3π2,n∈Z

4n-1π2,4n+1π2,n∈Z

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detailed solution

Correct option is D

cosx+cosx=0, cosx≤02cosx, cosx>0For f(x) to be defined, cosx>0 or x∈4n-1π2,4n+1π2,n∈Z (1st and 4th quadrant).

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The domain of fx=1cosx+cosx is

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The domain of $f (x) = \frac{1}{\sqrt{|\cos x| + \cos x}}$ is