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In quadrilateral A B C D , if sin((A+B)/...

In quadrilateral `A B C D ,` if `sin((A+B)/2)cos((A-B)/2)+"sin"((C+D)/2)cos((C-D)/2)=2` then find the value of `sinA/2sinB/2sinC/2sinD/2dot`

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To solve the problem, we start with the given equation: \[ \sin\left(\frac{A+B}{2}\right) \cos\left(\frac{A-B}{2}\right) + \sin\left(\frac{C+D}{2}\right) \cos\left(\frac{C-D}{2}\right) = 2 \] ### Step 1: Use the sine addition formula We can use the sine addition formula, which states: ...
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