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Evaluate : $\frac{5 \tan^2 30^\circ + 3 \cos^2 45^\circ - 4 \sin^2 30^\circ}{\sqrt{3} \sin 60^\circ \cos 60^\circ + \cot^2 45^\circ}$
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(b) $\frac{5(\frac{1}{\sqrt{3}})^2 + 3(\frac{1}{\sqrt{2}})^2 - 4(\frac{1}{2})^2}{\sqrt{3} .(\frac{\sqrt{3}}{2}). \frac{1}{2} + (1)^2} = \frac{26}{21}$