Trigonometry Question #1

I saw this trigonometry question a few days ago.

\mathrm{tan}1^{\circ} \mathrm{tan}2^{\circ} \mathrm{tan}3^{\circ} \ldots \mathrm{tan}88^{\circ} \mathrm{tan}89^{\circ} = ?

Hint: \mathrm{tan}(90^{\circ} - \theta) = \mathrm{cot} \theta

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