Question

How do you find the exact value of ${\tan }^{-1}\left(0\right)$?

Answer 1

Compute the required value.

Let ${\tan }^{-1}\left(0\right)=x$

Therefore, $0=\tan x$

We know that value of $\tan \theta$ is $0$ for $\theta =0$.

So, $x=0$

Hence, the exact value of ${\tan }^{-1}\left(0\right)$ is $0.$