A) \[[0,1]\]
B) \[[-1,1]\]
C) \[[1,3]\]
D) None of these
Correct Answer: C
Solution :
[c] \[{{\tan }^{-1}}x\] and \[{{\cot }^{-1}}x\] exist for all \[x\in R\]\[{{\cos }^{-1}}(2-x)\]exists if \[-1\le 2-x\le 1\]i.e. \[1\le x\le 3\] So, the given equation holds for \[1\le x\le 3\]
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