# Could I get anymore Tanner?

Geometry Level 3

$\tan(\alpha)+2\tan(2\alpha)+4\tan(4\alpha)+8\cot(8\alpha)=\cot(n\alpha)$

If the above trigonomtric equation is true for all $$\alpha$$, what is the value of $$n$$?

This problem is part of the set Trigonometry.

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