If \( x0 \), then \( \tan ^{-1} x \) is equal to (1) \( -\pi+\cot ^{-1} \frac{1}{x} \) (2) \( \s...

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If \( x0 \), then \( \tan ^{-1} x \) is equal to
(1) \( -\pi+\cot ^{-1} \frac{1}{x} \)
(2) \( \sin ^{-1} \frac{x}{\sqrt{1+x^{2}}} \)
(3) \( -\cos ^{-1} \frac{1}{\sqrt{1+x^{2}}} \)
(4) \( -\operatorname{cosec}^{-1} \frac{\sqrt{1+x^{2}}}{x} \)
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