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If alpha,beta, gamma are any three angle...

If `alpha,beta, gamma` are any three angles , then ` cos alpha + cos beta - cos gamma - cos (alpha+beta+gamma)=`

A

`4 cos ( alpha+beta)/(2) cos (beta+gamma)/(2) cos (gamma+alpha)/(2)`

B

`4 cos (alpha +beta)/(2) sin (beta+gamma)/(2) sin (gamma + alpha)/(2)`

C

`4 cos (alpha+beta)/(2) sin (beta- gamma)/(2) sin ( gamma-alpha)/(2)`

D

`4 sin (alpha + beta)/(2) cos (gamma + alpha)/(2)`

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The correct Answer is:
B
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