Sin (X-Y) cosy + cos (X-Y) siny > = 1, then the ranges of X and y are

Sin (X-Y) cosy + cos (X-Y) siny > = 1, then the ranges of X and y are

sinAcosB+cosAsinB=sin(A+B)
The original formula = sin (X-Y + y)
=sinx
That is, SiNx > = 1, SiNx belongs to [- 1,1]
So this doesn't hold at all