Evaluate: $\frac{ an^3 60°}{\sin^2 60° + \cos^2 30°}$

Question

Evaluate: $\frac{	an^3 60°}{\sin^2 60° + \cos^2 30°}$

Accepted Answer

Step 1: $\frac{(\sqrt{3})^3}{\left(\frac{\sqrt{3}}{2}ight)^2 + \left(\frac{\sqrt{3}}{2}ight)^2} = \frac{3\sqrt{3}}{\frac{3}{4} + \frac{3}{4}} = \frac{3\sqrt{3}}{\frac{3}{2}}$
Step 2: $= 3\sqrt{3} 	imes \frac{2}{3} = 2\sqrt{3}$

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