ILL 1986 Problem 52

Solve the system of equations $\tan x_1 +\cot x_1=3 \tan x_2,$ $\tan x_2 +\cot x_2=3 \tan x_3,$ $\vdots$ $\tan x_n +\cot x_n=3 \tan x_1$

Dataset text AI-MO AoPS. Quoted with source.

Solutions

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