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MathNet 2017-part-05 — 176 problems (EN–VI) Question 44

Math Olympiad Vault · MathNet 2017-part-05 — 176 problems (EN–VI)

Question 44

Prove the inequality
$$
\sin \frac{\pi}{4n} \ge \frac{\sqrt{2}}{2n},
$$

where $n$ is a positive integer.