Answer
$= \frac{\sqrt {3} - 1}{2}$
Work Step by Step
$\cos^{2} 30˚ - \sin^{2} 30˚$
$= (\cos 30)^{2} - (\sin 30)^{2}$
$= (\frac{\sqrt 3}{2}) - (\frac{1}{2})$
$= \frac{\sqrt {3} - 1}{2}$
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