solve simultaneous sine functions

Dear Sir;

restart;
_EnvAllSolutions:=true;
eqn1:=cos(omega[1]*t[1])+cos(omega[1]*t[2])=-1;
eqn2:=cos(r*omega[1]*t[1])+cos(r*omega[1]*t[2])=-1;
solve({eqn1,eqn2},[t[1],t[2]]);

I try to get the solutions. It gives me very
complicated answer. How do I interpret the results
with assumed variables?
Actually, I want to get the closed form solution.
Could you help me about the problem?

Thanks.
Sung

Comments

edgar's picture

RootOf

The answers provided by Maple involve RootOf expressions.
This means Maple did not have a closed-form solution. It is saying: take any
solution _Z of the equation _Z*r-Pi+arccos(cos(r*(Pi-arccos(cos(_Z)+1)))+1) ,
then plug it in to get the answers.

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