# How do you write the equation tantheta=x in the form of an inverse function?

Mar 17, 2018

$\theta = {\tan}^{-} 1 x$

#### Explanation:

$\tan \theta = x$

${\tan}^{-} 1 \left(\tan \theta\right) = {\tan}^{-} 1 x$ taking inverse on both sides.

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

$\therefore \theta = {\tan}^{-} 1 x$