Hello.

Does anyone know how to solve these equations:

$\displaystyle X*cos(t*a) + Y*sin(t*a) = 0 $

$\displaystyle X*cos(t*b) + Y*sin(t*b) = 0 $

I want to find nontrivial solutions for X,Y and t. I only know that $\displaystyle a \not= 0 \not= b$. Furthermore $\displaystyle a,b \in \mathbb{R} $

Help would be much appreciated.

Rapha