How do you simplify the expression $arctan(1/sqrt3)$ ?

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Answer 1 · 2016-06-14T20:54:55

$pi/6.$

Let $arctan(1/sqrt3)=theta$

Then, by defn., $tantheta=1/sqrt3=tan(pi/6),$ where, $theta in (-pi/2,pi/2)$
$:. theta=arctan(1/sqrt3)=pi/6.$

How do you simplify the expression arctan(1/sqrt3)arctan(1/sqrt3)?