Question

Evaluate exactly in radians: arctan(1/sqrt(3)).

Answer 1

   
$\displaystyle \\ \frac{1}{ \sqrt{3} } = \frac{\sqrt{3}}{ \sqrt{3} \times \sqrt{3}} = \frac{\sqrt{3}}{ 3} \\ \\ \arctan\left(\frac{\sqrt{3}}{ 3} \right) = \arctan(\tan 30^o) = \boxed{30^o}$