# Question #ab32b

May 6, 2016

$\frac{2}{\sqrt{3}}$ or $\frac{2 \sqrt{3}}{3}$

#### Explanation:

$\sec \left(\frac{\pi}{6}\right) = \frac{1}{\cos \left(\frac{\pi}{6}\right)}$

$\cos \left(\frac{\pi}{6}\right) = \frac{\sqrt{3}}{2}$

$\frac{1}{\frac{\sqrt{3}}{2}} = \frac{2}{\sqrt{3}}$

Rationalize the denominator by multiplying the numerator and denominator by $\sqrt{3}$

$\frac{2}{\sqrt{3}} \cdot \frac{\sqrt{3}}{\sqrt{3}} = \frac{2 \sqrt{3}}{3}$