Find the exact value of the expression 20 - 3 20 + 5 20 - 7 20 + 9 20

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

Problem

Find the exact value of the expression tan⁡π20−tan⁡3π20+tan⁡5π20−tan⁡7π20+tan⁡9π20\tan \frac{\pi}{20} - \tan \frac{3\pi}{20} + \tan \frac{5\pi}{20} - \tan \frac{7\pi}{20} + \tan \frac{9\pi}{20}

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