Compute the value of the expression ^2 16 + ^2 2 16 + ^2 3 16 + + ^2 7 16

MATHEMATICS · Subjective · A Level · Mathematics · Trigonometry · Trigonometry

Problem

Compute the value of the expression

\tan^2 \frac{\pi}{16} + \tan^2 \frac{2\pi}{16} + \tan^2 \frac{3\pi}{16} + \dots + \tan^2 \frac{7\pi}{16}