# Trigonometric Tangents

Geometry Level 4

$\large x = \tan^8\dfrac{\pi}{24}+\tan^8\dfrac{5\pi}{24}+\tan^8\dfrac{7\pi}{24}+\tan^8\dfrac{11\pi}{24}$

Given that $$x$$ is an integer, find the sum of the digits of $$x$$.

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