#### Answer

$\dfrac{\sqrt3}{2}$

#### Work Step by Step

Convert the angle measure to degrees to obtain:
$=\frac{\pi}{6} \cdot \frac{180^o}{\pi} = 30^o$
Thus,
$cos{\frac{\pi}{6}}
\\= \cos{30^o}$
From Section 2.2, we learned that:
$\cos{30^o}= \dfrac{\sqrt3}{2}$