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$$\frac{\tan 10^\circ + \tan 50^\circ}{1 - \tan 10^\circ \tan 50^\circ} =$$
$$\frac{\sqrt{3} + 1}{2\sqrt{2}}$$
$$\frac{\sqrt{3} - 1}{2\sqrt{2}}$$
$$\sqrt{3}$$
$$\frac{1}{\sqrt{3}}$$
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