Hello, pkr!
This is a tricky one, but I found a way . . .
We have: .
. . Hence, are complementary: . .[3]
Substitute into (1): .
. .
. .
This factors: .
And we have: .
. . and: .
Substitute into [3]: .
cos(x)-sin(x-y) = 0
-sin(y) + sin(x-y)=0
however the solutions must be between 0 and pi/2, after a long while messing with it i got y=pi/6 and x=pi/3...can anyone show me how to actually calculate this thought, as obviously my way is pretty pointless.