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The domain of f(x=1/(sqrt(|cosx|+cosx)) ...

The domain of `f(x=1/(sqrt(|cosx|+cosx))` is `[-2npi,2npi],n in Z` `2npi, 2n+1pi),n in Z` `((4n+1)pi)/2,((4n+3)pi)/2),n in Z` `((4n-1)pi)/2,((4n+1)pi)/2),n in Z`

A

`underset(n = -infty)overset(infty)cup ((2n-1)pi, 2npi)`

B

`underset(n=-infty)overset(infty) (2npi, (2n +1)pi)`

C

`underset(n =-infty)overset(infty)cup ((2n-1/2)pi, (2n+1)pi/2)`

D

`underset(n =-infty)overset(infty)(npi, (n+1)pi)`

Text Solution

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The correct Answer is:
C
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