I think you are right

Did you know that the general solution to sin(x) = sin(y) is ?(n is an integer)sin(2t)-sin(5t)=0 [0,360)

i get -2cos(7t/2)sin(3t/2) and am totally lost on how to find the solutions.Do i divide 0 & 360 by 7/2 & 3/2 to find the solutions?The book has 0,pi/7,3pi/7,2pi/3,4pi/3, and 2pi.

Can anyone help me and explain what i am doing wrong?

[If you do not know the above think about it, its simple]

Then all you have to do now is sin(2t) = sin(5t)

So general solution is

Well I hope you get the idea