MathDB

real solutions to a system

Source: Czech and Slovak third round,2006,p6

March 3, 2012

trigonometryalgebrasystem of equationsalgebra unsolved

Problem Statement

Find all real solutions

(x,y,z)

of the system of equations:

\begin{cases} \tan ^2x+2\cot^22y=1 \\ \tan^2y+2\cot^22z=1 \\ \tan^2z+2\cot^22x=1 \\ \end{cases}