If \( \left[\cot ^{-1} x\right]+\left[\cos ^{-1} x\right]=0 \), whe...

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If \( \left[\cot ^{-1} x\right]+\left[\cos ^{-1} x\right]=0 \), where \( x \) is a non-
\( \mathrm{P} \) negative real number and [.] denotes the greatest

W integer function, then complete set of values of \( x \) is
(A) \( (\cot 1,1] \)
(B) \( (\cot 1,1) \)
(C) \( (\cos 1, \cot 1) \)
(D) None of these
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