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MathNet 2008-part-05 — 164 problems (EN–VI) Question 34

Math Olympiad Vault · MathNet 2008-part-05 — 164 problems (EN–VI)

Question 34

Evaluate the sum
$$
\cos \left(\frac{2 \pi}{18}\right)+\cos \left(\frac{4 \pi}{18}\right)+\cdots+\cos \left(\frac{34 \pi}{18}\right)
$$