Sin(x-y)=cos(x+y)=1/2

=Sin(x-y)=1/2

=Sin(x-y)=30°

=(X-y)=30°----(1)

Cos(x+y)=1/2

=Cos(x+y)=60°

=(X+y)=60°-----(2)

1or2----

(X-y)=30°

(X+y)=60°

sin(x-y)=1/2

sin(x-y)= sin300

x-y =300--------1

and cos(x+y) =1/2

       cos(x+y) = cos600

         x+y = 600----------2

on adding 1 & 2, we get,

2x = 900

x = 450

and on subtracting 1 & 2, we get,

-2y = -300

 y = 150