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$$\frac{\sin 210^{\circ} . \cos 585^{\circ}}{\cosec 750^{\circ}}$$
$$-\frac{(2 + \sqrt{2})}{4\sqrt{2}}$$
$$\frac{1}{4\sqrt{2}}$$
$$\frac{(2 \sqrt{2})}{\sqrt{2} + 2}$$
$$-\frac{(2 - \sqrt{2})}{4\sqrt{2}}$$
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