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The domain of the function `f(x)=(1)/(sqrt(|cosx|+cosx))` isA. `[-2n pi, 2 n pi], n in Z`B. `(2n pi,bar(2n+1) pi), n in Z`C. `(((4n+1)pi)/(2),((4n+3)pi)/(2)), n in Z`D. `(((4n-1)pi)/(2),((4n+1)pi)/(2)), n in Z`

Answer» Correct Answer - D
`|cosx|+cosx={(0",",cosx le 0),(2 cosx",",cosx gt 0):}`
For `f(x)` to be defined, `cos x gt 0`
or ` x in (((4n-1)pi)/(2),((4n+1)pi)/(2)), n in Z` (1st and 4th quadrant).


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