Question
Solve for $x : \cos^2 30^\circ+ \sin^2 2x = 1$

Answer

$\cos^230^\circ + \sin^22x = 1$
$\sin^22x = 1 – \cos^230^\circ$
$\sin^22x = \frac{1}{2}$
$2x = 30^\circ$
$x =15^\circ$

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