MathDB
summation involving sine squared

Source: Indonesia TST 2016 Round 3

March 24, 2024
algebratrigonometry

Problem Statement

Let nn be a positive integer greater than 11. Evaluate the following summation: ∑k=0n−111+8sin⁡2(kπn). \sum_{k=0}^{n-1} \frac{1}{1 + 8 \sin^2 \left( \frac{k \pi}{n} \right)}.
Back to ProblemsView on AoPS