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,
$\forall x \in \mathbb{R}$, $\cot^{-1}(-x) =$
- (a)$\pi - \cot^{-1} x$
- (b)$-\tan^{-1} x$
- (c)$-\cot^{-1} x$
- (d)$\pi + \cot^{-1} x$
Answer
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From ISC 2022 Specimen Mathematics Paper 1, question 6.