Problem

Problem

The value of the expression

\tan \frac{\pi}{7} + 2 \tan \frac{2\pi}{7} + 4 \tan \frac{4\pi}{7} + 8 \cot \frac{8\pi}{7}

is equal to a.

\csc \frac{2\pi}{7} + \cot \frac{2\pi}{7}

b.

\tan \frac{\pi}{14} - \cot \frac{\pi}{14}

c.

\frac{\sin \frac{2\pi}{7}}{1 - \cos \frac{2\pi}{7}}

d.

\frac{1 + \cos \frac{\pi}{7} + \cos \frac{2\pi}{7}}{\sin \frac{\pi}{7} + \sin \frac{2\pi}{7}}

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