# How do you evaluate tan(tan^-1(2/sqrt7))?

$\frac{2}{\sqrt{7}}$
${\tan}^{-} 1 \left(\frac{2}{\sqrt{7}}\right) \to \arctan \left(\frac{2}{\sqrt{7}}\right)$ -> arc t (whose tan is (2/sqrt7))
$\tan \left({\tan}^{-} 1 \tan \left(\frac{2}{\sqrt{7}}\right)\right)$ --> $\tan \left(t\right) = \frac{2}{\sqrt{7}}$