Answer
$\frac{2\sqrt 3}{3}$
Work Step by Step
($\frac{\sqrt 3}{2}$ , -$\frac{1}{2}$)
sec $\frac{11\pi}{6}$ is computed by $\frac{1}{x}$.
So sec $\frac{11\pi}{6}$ = $\frac{1}{\frac{\sqrt 3}{2}}$ = $\frac{2\sqrt 3}{3}$.
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