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In quadrilateral ABCD if sin((A+B)/(2)...

In quadrilateral ABCD if `sin((A+B)/(2))cos((A-B)/(2))+sin((C+D)/(2))cos((C-D)/(2))=2`,
then find the value of `"sin"(A)/(2)"sin"(B)/(2)"sin"(C)/(2)"sin"(D)/(2)`.

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