Answer
$\dfrac{\sqrt{3}}{3}$
Work Step by Step
$\dfrac{\pi}{3}$ is a special angle whose tangent value is $\sqrt3$.
(Please refer to Table 1 on page 128 of this book).
Since cotangent is the reciprocal of tangent, then
$\cot{(\frac{\pi}{3})}=\dfrac{1}{\tan{(\frac{\pi}{3})}}=\dfrac{1}{\sqrt{3}} =\dfrac{1}{\sqrt{3}} \cdot \dfrac{\sqrt3}{\sqrt3}=\dfrac{\sqrt{3}}{3}$
