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If sin (x-y)=cos (x+y)=(1)/(2), the valu...

If `sin (x-y)=cos (x+y)=(1)/(2),` the value of `x` and `y` lying between `0^(circ)` and `90^(circ)` are given by

A

`x=15^(circ), y=25^(circ)`

B

`x=65^(circ), y=15^(circ)`

C

`x=45^(circ), y=45^(circ)`

D

`x=45^(circ), y=15^(circ)`

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