MathDB
2sin(nx) = tan(x) + cot(x)

Source: 1995 Poland First Round #1

June 11, 2023
trigonometry

Problem Statement

Determine all positive integers nn, such that the equation 2sin⁡nx=tan⁡x+cot⁡x2 \sin nx = \tan x + \cot x has solutions in real numbers xx.
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