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The value of $$\frac{\tan^2 30^\circ + \sin^2 90^\circ + \cot^2 60^\circ + \sin^2 30^\circ \cos^2 45^\circ}{\sin 60^\circ \cos 30^\circ - \cos 60^\circ \sin 30^\circ}$$ is:
$$\frac{47}{12}$$
$$\frac{37}{12}$$
$$\frac{43}{12}$$
$$\frac{25}{12}$$
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