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$C o s e e^{- 1} (C o s x)$ is defined if

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x∈−1,1

x∈R

x=2n+1π2,n∈I

x=nπ, n∈I

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Correct option is D

Cosee−1Cos x is defined only if Cosx∈(-∞,-1]∪[1,∞)⇒cosx=±1 ∵-1≤cosx≤1 ⇒x=nπ, n∈I

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Cosee−1Cos xis defined if

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$C o s e e^{- 1} (C o s x)$ is defined if