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If $\cos e c^{- 1} (\cos x)$ is defined

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x∈[−1,1]

x∈R

x−(2nπ+1)π2,n∈z

x=nπ,n∈z

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detailed solution

Correct option is D

cosec−1(cosx) is defined only if cosx=±1 ⇒x=nπ;n∈z

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If cosec−1(cosx)is defined

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If $\cos e c^{- 1} (\cos x)$ is defined