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Q.

The domain of f(x)=1|cos⁡x|+cos⁡x is

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a

[−2nπ,2nπ],n∈Z

b

(2nπ,2n+1¯π),n∈Z

c

(4n+1)π2,(4n+3)π2,n∈Z

d

(4n−1)π2,(4n+1)π2,n∈Z

answer is D.

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Detailed Solution

cosx +cosx = 0 if cosx ≤0 = 2 cosx, if cosx >0 for fx to be defined , cos x >0 ⇒ x∈ 4n-1π2,4n+1π2 , n∈Z i.e 1st and 4th quadrants

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