MathDB
Integers and Trigonometric functions

Source: Indian Postals 2015 Set 5

November 15, 2015
trigonometryinequalitiesnumber theorycalculusintegrationfunction

Problem Statement

Find all positive integer nn such that sin⁡nθsin⁡θ−cos⁡nθcos⁡θ=n−1\frac{\sin{n\theta}}{\sin{\theta}} - \frac{\cos{n\theta}}{\cos{\theta}} = n-1 holds for all θ\theta which are not integral multiples of π2\frac{\pi}{2}
Back to ProblemsView on AoPS