MathDB
IMO Long List 1986 System of equations

Source:

August 29, 2010
trigonometryalgebrasystem of equationsalgebra unsolved

Problem Statement

Solve the system of equations tan⁡x1+cot⁡x1=3tan⁡x2,\tan x_1 +\cot x_1=3 \tan x_2,tan⁡x2+cot⁡x2=3tan⁡x3,\tan x_2 +\cot x_2=3 \tan x_3,⋮\vdotstan⁡xn+cot⁡xn=3tan⁡x1\tan x_n +\cot x_n=3 \tan x_1
Back to ProblemsView on AoPS