If \( \sin (x-y)=\cos (x+y)=\frac{1}{2} \), the values of \( x \) and \( y \) lying between \( 0...
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0If \( \sin (x-y)=\cos (x+y)=\frac{1}{2} \), the values 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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