[" What is a suctione side of the equinateral triangle is "6sqrt(3)cm" ."],[sin(alpha+beta-gamma)=(1)/(2),cos(beta+gamma-alpha)=(1)/(2)" and "tan(gamma+alpha-beta)=1]

If each of alpha beta and gamma is a positive acute angle such that sin(alpha+beta-gamma)=(1)/(2)cos(beta+gamma-alpha)=(1)/(2) and tan(gamma+alpha-beta)=1 find the values of alpha,beta and gamma

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

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

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

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

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

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

If alpha, beta, gamma ,are positive acute angles and sin (alpha+beta-gamma)=cos(beta+gamma-alpha)=tan (gamma+alpha-beta)=1 find alpha,beta and gamma .

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