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Evaluate : $\frac{4 \cos^3 60^\circ + \text{cosec } 30^\circ}{\tan^2 30^\circ}$
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OR
(b) $\frac{4\cos^3 60^\circ + \text{cosec } 30^\circ}{\tan^2 30^\circ} = \frac{4 \times (\frac{1}{2})^3 + 2}{(\frac{1}{\sqrt{3}})^2}$ (1 Mark)
$= \frac{4 \times \frac{1}{8} + 2}{\frac{1}{3}} = \frac{\frac{1}{2} + 2}{\frac{1}{3}} = \frac{\frac{5}{2}}{\frac{1}{3}} = \frac{15}{2}$ (
frac{1}{2} Mark)
(b) $\frac{4\cos^3 60^\circ + \text{cosec } 30^\circ}{\tan^2 30^\circ} = \frac{4 \times (\frac{1}{2})^3 + 2}{(\frac{1}{\sqrt{3}})^2}$ (1 Mark)
$= \frac{4 \times \frac{1}{8} + 2}{\frac{1}{3}} = \frac{\frac{1}{2} + 2}{\frac{1}{3}} = \frac{\frac{5}{2}}{\frac{1}{3}} = \frac{15}{2}$ (
frac{1}{2} Mark)