53
Evaluate :
$\frac{2 \tan 30^{\circ} \cdot \sec 60^{\circ} \cdot \tan 45^{\circ}}{1 - \sin^2 60^{\circ}}$
$\frac{2 \tan 30^{\circ} \cdot \sec 60^{\circ} \cdot \tan 45^{\circ}}{1 - \sin^2 60^{\circ}}$
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$$\begin{aligned}& 2\times\frac{1}{\sqrt{3}}\times 2\times 1 \\ & \frac{1 - \frac{3}{4}}{} \\ & = \frac{16}{\sqrt{3}} \text{ or } \frac{16\sqrt{3}}{3}\end{aligned}$$