Answer
$\dfrac{\sqrt3}{3}$
Work Step by Step
Convert the angle measure to degrees to obtain:
$=\frac{\pi}{3} \cdot \frac{180^o}{\pi} = 60^o$
Thus,
$\cot{\frac{\pi}{3}}
\\= \cot{60^o}$
From Section 2.1 (page 50) , we learned that:
$\cot{\frac{\pi}{3}} = \cot{60^o}=\dfrac{\sqrt3}{3}$
