Dear Sir:

I try to solve a set of simultaneous equations.
But, it is not easy to get a solution by using
MAPLE package.

restart;
eq1:=P-2*P*cos(w*t[2])+(P+1)*cos(w*t[3])=0;
eq2:=-2*P*sin(w*t[2])+(P+1)*sin(w*t[3])=0;
_EnvAllSolutions:=true: _EnvExplicit:=true:
solve({eq1,eq2},{t[2],t[3]});

But, MAPLE does not give me what I want.
I expect that the solution should be in
the following way:

t[2]=(1/w)*arccos((4*P^2-2*P-1)/(4*P^2));
t[3]=(1/w)*arccos((2*P^2-2*P-1)/(2*P^2+2*P));

where w and P are positive constants.
Could you help me to get the solution?

Thanks