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Consider a triangle ABC in which cos A +...

Consider a triangle ABC in which `cos A + cos B + cos C = sqrt(3) "sin"(pi)/(3)`
What is the value of `"sin"(A)/(2)"sin"(B)/(2)"sin"(C)/(2)`?

A

`1/2`

B

`1/4`

C

`1/8`

D

`(1)/(16)`

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The correct Answer is:
C
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