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Evaluate: $\sin 45^{\circ} \cdot \cos 45^{\circ} + \text{cosec}^2 30^{\circ}$
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Solution: (b) $\sin 45^{\circ} \cdot \cos 45^{\circ} + \text{cosec}^2 30^{\circ}$
$= \frac{1}{\sqrt{2}} \times \frac{1}{\sqrt{2}} + 2^2$ (3
times 1/2 Mark)
$= \frac{1}{2} + 4 = \frac{9}{2}$ (1/2 Mark)
$= \frac{1}{\sqrt{2}} \times \frac{1}{\sqrt{2}} + 2^2$ (3
times 1/2 Mark)
$= \frac{1}{2} + 4 = \frac{9}{2}$ (1/2 Mark)