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" 12.Prove that "cos alpha+cos beta+cos ...

" 12.Prove that "cos alpha+cos beta+cos gamma+cos(alpha+beta+gamma)=4cos(alpha+beta)/(2)*cos(beta+gamma)/(2)*cos(gamma+alpha)/(2)

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Prove that: cosalpha+cosbeta+cosgamma+cos(alpha+beta+gamma)=4cos((alpha+beta)/2)cos((beta+gamma)/2)cos((gamma+alpha)/2) .

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For all value of alpha,beta,gamma prove that ,cosalpha+cosbeta+cosgamma+cos(alpha+beta+gamma)=4cos(alpha+beta)/2*cos(beta+gamma)/2*cos(gamma+alpha)/2

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cos (alpha + beta) cos gamma-cos (beta + gamma) cos alpha = sin beta sin (gamma-alpha)