For an integer \( n \geq 4 \), find the solutions of the equation
\[
\sum_{k=1}^n \frac{\sin \frac{k\pi}{n+1}}{\sin (\frac{k\pi}{n+1} -x)} = 0.
\]
Tag Archives: trigonometric
2010-5 Dependence over Q
Find the set of all rational numbers x such that 1, cos πx, and sin πx are linearly dependent over rational field Q.