[" EXAMP省 "f(alpha-beta)+cos(beta-gamma)+cos(gamma-alpha)=-(3)/(2)," prove that "],[qquad [<0s alpha+cos beta+cos gamma=sin alpha+sin beta+sin gamma=0]]

If cos (alpha - beta) + cos (beta - gamma) + cos (gamma - alpha) = (-3)/(2) then prove that cos alpha + cos beta+ cos gamma = sin alpha + sin beta + sin gamma = 0 .

cos(alpha-beta)+cos(beta-gamma)+cos(gamma-alpha)=-(3)/(2), prove that cos alpha+cos beta+cos gamma=sin alpha+sin beta+sin gamma=0

cos(alpha-beta)+cos(beta+gamma)+cos(gamma-alpha)=-(3)/(2) prove that: cos alpha+cos beta+cos gamma=sin alpha+sin beta+sin gamma=0

Let cos(alpha-beta) + cos(beta - gamma) + cos(gamma - alpha)= -3/2 , then the value of cos alpha + cos beta + cos gamma is

Prove that : cos^2 (beta-gamma) + cos^2 (gamma-alpha) + cos^2 (alpha-beta) =1+2cos (beta-gamma) cos (gamma-alpha) cos (alpha-beta) .

Prove that : cos^2 (beta-gamma) + cos^2 (gamma-alpha) + cos^2 (alpha-beta) =1+2cos (beta-gamma) cos (gamma-alpha) cos (alpha-beta) .

Prove that : cos^2 (beta-gamma) + cos^2 (gamma-alpha) + cos^2 (alpha-beta) =1+2cos (beta-gamma) cos (gamma-alpha) cos (alpha-beta) .

If cos alpha+cos beta+cos gamma=sin alpha+sin beta+sin gamma=0 , and cos(alpha-beta)+cos(beta-gamma)+cos(gamma-alpha)=6K , K in R , then K is equal to :

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