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$$\frac{\cos 690^{\circ} + \cot 210^{\circ} + \cos 420^{\circ}}{\sin 690^{\circ} + \sec 210^{\circ} +\tan 420^{\circ}}$$
$$11(2 - \sqrt{3}) $$
$$13(2 + \sqrt{3}) $$
$$11(2 + \sqrt{3}) $$
$$13(2 - \sqrt{3})$$
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