Domain of \( f(x)=\cos ^{-1} x+\cot ^{-1} x+\operatorname{cosec}^{-1} x \) is....

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Domain of \( f(x)=\cos ^{-1} x+\cot ^{-1} x+\operatorname{cosec}^{-1} x \) is
\( \mathrm{P} \)
(A) \( [-1,1] \)
W
(B) \( R \)
(C) \( (-\infty,-1] \cup[1, \infty) \)
(D) \( \{-1,1\} \)


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