Complete solution set of \( \left[\cot ^{-1} x\right]+2\left[\tan ^...

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Complete solution set of \( \left[\cot ^{-1} x\right]+2\left[\tan ^{-1} x\right]=0 \),
P where [.] denotes greatest integer function, is

W equal to
(A) \( (0, \cot 1) \)
(B) \( (0, \tan 1) \)
(C) \( (\tan 1, \infty) \)
(D) \( (\cot 1, \tan 1) \)
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