Question 92
Prove that
$$
\prod_{k=1}^{n-1} \sin \frac{k\pi}{n} = \frac{n}{2^{n-1}}, \quad \text{for } n = 2, 3, \dots
$$
$$
\prod_{k=1}^{n-1} \sin \frac{k\pi}{n} = \frac{n}{2^{n-1}}, \quad \text{for } n = 2, 3, \dots
$$
MathNet 2026 — Part 06 Question 92
Math Olympiad Vault · MathNet 2026 — Part 06