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Evaluate: $\sec 60^\circ \cdot \cos^2 30^\circ + \sin^2 45^\circ$
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$\sec 60^\circ \cdot \cos^2 30^\circ + \sin^2 45^\circ$
n$= 2 \times (\frac{\sqrt{3}}{2})^2 + (\frac{1}{\sqrt{2}})^2$ (1/2+1/2+1/2 Mark)
n$= 2 \times \frac{3}{4} + \frac{1}{2}$ (1/2 Mark)
n$= \frac{3}{2} + \frac{1}{2} = \frac{4}{2} = 2$
n$= 2 \times (\frac{\sqrt{3}}{2})^2 + (\frac{1}{\sqrt{2}})^2$ (1/2+1/2+1/2 Mark)
n$= 2 \times \frac{3}{4} + \frac{1}{2}$ (1/2 Mark)
n$= \frac{3}{2} + \frac{1}{2} = \frac{4}{2} = 2$