Question: Write the value of $\cot ^{-1}(-x)$ for all $x \in R$ in terms of $\cot ^{-1} x$
Solution:
We know that $\cot ^{-1}(-x)=\pi-\cot ^{-1}(x)$
Therefore, the value of $\cot ^{-1}(-x)$ for all $x \in R$ in terms of $\cot ^{-1} x$ is $\pi-\cot ^{-1}(x)$.
