Question

Which value of $\tan$ is $2$?

Answer 1

Calculate the value of $\theta$.

$\tan \theta =2$

We need to find for which angle $\theta$ the $\tan$ value is $2$.

Taking inverse on both sides,

$\Rightarrow {\tan }^{-1}\left(\tan \theta \right)={\tan }^{-1}\left(2\right)$

$\Rightarrow \theta ={\tan }^{-1}\left(2\right)$

$\Rightarrow \theta =1.107rad$

$\Rightarrow \theta =1.107\times \frac{180}{\mathrm{\pi }}$

$\Rightarrow \theta =63.435°$

Hence the value of $\theta =63.435°$ approximately.