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

Answer

$\cos^2 30^\circ + \cos^2x = 1$
$\cos^2x = 1 – \cos^30^\circ$
$\cos ^2 x=1-\frac{3}{4}$
$\cos x=\frac{1}{2}$
$=60^{\circ}$

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