# What is tan^-1(sqrt3/3)?

Mar 6, 2018

color(green)(theta = (pi / 6 )^c or color(green)( = 30^@

#### Explanation:

Let $\theta = {\tan}^{-} 1 \left(\frac{\sqrt{3}}{3}\right)$

$\tan \theta = \frac{\sqrt{3}}{3}$

tan theta = cancel sqrt 3 / ( sqrt 3 * cancel sqrt3

$\tan \theta = \frac{1}{\sqrt{3}}$

From the above table,

$\tan \theta = \frac{1}{\sqrt{3}}$ or $\theta = = {\left(\frac{\pi}{6}\right)}^{c}$ or ${30}^{\circ}$