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ln a quadrilateral ABCD if sin((A+B)/2)c...

ln a quadrilateral ABCD if `sin((A+B)/2)cos((A-B)/2)+sin((C+D)/2)cos((C-D)/2)=2`, then `sin(A/2)sin(B/2)sin(C/2)sin(D/2)` has the value equal to (a)`1/8` (b)`1/4` (c)`1/(2sqrt2)` (d)`1/2`

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