Evaluate:
$$\frac{2 an 30° \cdot \sec 60° \cdot an 45°}{1 - \sin^2 60°}$$

Question

Evaluate:
$$\frac{2 	an 30° \cdot \sec 60° \cdot 	an 45°}{1 - \sin^2 60°}$$

Accepted Answer

Step 1: $= \frac{2 	imes \frac{1}{\sqrt{3}} 	imes 2 	imes 1}{1 - \frac{3}{4}} = \frac{\frac{4}{\sqrt{3}}}{\frac{1}{4}}$
Step 2: $= \frac{16}{\sqrt{3}} = \frac{16\sqrt{3}}{3}$

Question

Solution