Answer
$-\dfrac{2\sqrt{3}}{3}$
Work Step by Step
From problem 18 $\to \cos{\dfrac{A}{2}} =-\dfrac{\sqrt{3}}{2}$
$\because \sec{\dfrac{A}{2}} = \dfrac{1}{\cos{\dfrac{A}{2}}}$
$\therefore \sec{\dfrac{A}{2}} = \boxed{-\dfrac{2\sqrt{3}}{3}}$
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