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Consider a DeltaABC in which CosA+CosB+C...

Consider a `DeltaABC` in which `CosA+CosB+CosC=sqrt(3)Sin""(pi)/(3)`
What is the value of `Cos((A+B)/(2))Cos((B+C)/(2))Cos((C+A)/(2))`

A

`1/4`

B

`1/2`

C

`(1)/(16)`

D

None of these

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The correct Answer is:
D
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