The value of

Question:

The value of $\cot ^{-1}(-x)$ for all $x \in R$ in terms of $\cot ^{-1} x$ isĀ _________________.

Solution:

We know

$\cot ^{-1}(-x)=\pi-\cot ^{-1} x$, for all $x \in \mathrm{R}$

The value of $\cot ^{-1}(-x)$ for all $x \in \mathrm{R}$ in terms of $\cot ^{-1} x$ is $\pi-\cot ^{-1} x$

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