If \( x, y \in[0,2 \pi] \) and \( \sin x+\sin y=2 \), then the valu...

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If \( x, y \in[0,2 \pi] \) and \( \sin x+\sin y=2 \), then the value of
P \( x+y \) is

W
(1) \( \pi \)
(2) \( \pi / 2 \)
(3) \( 3 \pi \)
(4) none of these
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