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Evaluate : $\frac{5 \sin^2 45\degree - 3 \tan^2 30\degree}{2 \sec^2 30\degree}$
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Solution:
(a) $\frac{5\sin^2 45\degree-3\tan^2 30\degree}{2\sec^2 30\degree}$
$5\times(\frac{1}{\sqrt{2}})^2 - 3\times(\frac{1}{\sqrt{3}})^2$ (1/2 Mark)
$\frac{5}{2} - \frac{3}{3}$
$2 \times (\frac{2}{\sqrt{3}})^2$
$\frac{9}{16}$ (1/2 Mark)
(a) $\frac{5\sin^2 45\degree-3\tan^2 30\degree}{2\sec^2 30\degree}$
$5\times(\frac{1}{\sqrt{2}})^2 - 3\times(\frac{1}{\sqrt{3}})^2$ (1/2 Mark)
$\frac{5}{2} - \frac{3}{3}$
$2 \times (\frac{2}{\sqrt{3}})^2$
$\frac{9}{16}$ (1/2 Mark)