If \( \sin (x+y)=\frac{1}{\sqrt{2}}, \sin (x-y)=\frac{\sqrt{3}-1}{2 \sqrt{2}} \), then the value....

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If \( \sin (x+y)=\frac{1}{\sqrt{2}}, \sin (x-y)=\frac{\sqrt{3}-1}{2 \sqrt{2}} \), then the
\( \mathrm{P} \)
value of \( x \) is
W
(1) \( 30^{\circ} \)
(2) \( 22.5^{\circ} \)
(3) \( 15^{\circ} \)
(4) \( 45^{\circ} \)


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