Mathematics

Mathematics

Problem

Prove that: 1. 2cos⁡π13cos⁡9π13+cos⁡3π13+cos⁡5π13=02 \cos \frac{\pi}{13} \cos \frac{9 \pi}{13}+\cos \frac{3 \pi}{13}+\cos \frac{5 \pi}{13}=0

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