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Evaluate the following :
$\frac{3 \sin 30^\circ-4 \sin^3 30^\circ}{2 \sin^2 50^\circ +2 \cos^2 50^\circ}$
$\frac{3 \sin 30^\circ-4 \sin^3 30^\circ}{2 \sin^2 50^\circ +2 \cos^2 50^\circ}$
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$\frac{3 \sin 30^\circ-4 \sin^3 30^\circ}{2 \sin^2 50^\circ +2 \cos^2 50^\circ}$
$= \frac{3\times\frac{1}{2}-4\times(\frac{1}{2})^3}{2 (\sin^2 50^\circ+\cos^2 50^\circ)}$
$= \frac{\frac{3}{2}-\frac{1}{2}}{2\times 1}$
$= \frac{1}{2}$
$= \frac{3\times\frac{1}{2}-4\times(\frac{1}{2})^3}{2 (\sin^2 50^\circ+\cos^2 50^\circ)}$
$= \frac{\frac{3}{2}-\frac{1}{2}}{2\times 1}$
$= \frac{1}{2}$