#### Answer

$\dfrac{2\sqrt3}{3}$

#### Work Step by Step

Convert the angle measure to degrees to obtain:
$=\frac{\pi}{6} \cdot \frac{180^o}{\pi} = 30^o$
Thus,
$\sec{(\frac{\pi}{6})}
\\= \sec{30^o}$
From Section 2.1 (page 50) , we learned that:
$\sec{30^o} = \dfrac{2\sqrt3}{3}$