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Evaluate : $\frac{5 \tan 60^{\circ}}{(\sin^2 60^{\circ} + \cos^2 60^{\circ}) \tan 30^{\circ}}$
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$\frac{5\tan60^{\circ}}{(\sin^2 60^{\circ} + \cos^2 60^{\circ})\tan30^{\circ}}$
$= \frac{5 \times \sqrt{3}}{1 \times \frac{1}{\sqrt{3}}}$
$=15$
$= \frac{5 \times \sqrt{3}}{1 \times \frac{1}{\sqrt{3}}}$
$=15$