If `alpha,beta,gamma` are acute angle such that `cos alpha = tan beta,cos beta = tan gamma and cos gamma = tan alpha,` then

If alpha,beta and gamma are acute angled such that sin alpha = sqrt3/2 cos beta = sqrt3/2and tan gamma = 1 , then what is alpha+ beta + gamma equal to ?

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

If alpha, beta and gamma are angle such that tan alpha + tan beta+tan gamma= tan alpha tan beta tan gammaand x=cos alpha + I sin alpha, y=cos beta+ I sin beta and z= cos gamma+ I sin gamma, then the value of xyz is -

If alpha,beta and gamma are angles such that tan alpha+tan beta+tan gamma=tan alpha tan beta tan gamma and x=cos alpha+i sin alpha,y=cos beta+i sin beta and z=cos gamma+i sin gamma then the value of xyz is

IF alpha , beta and gamma are angles such that tan alpha + tan beta + tan gamma = tan alpha tan beta tan gamma and x= cos alpha + i sin alpha , y = cos beta + i sin beta and z= cos gamma + i sin gamma , then xyz =

If alpha, beta and gamma are angles such that tan alpha+tan beta+tan gamma=tan alpha . tan beta . tan gamma and x=cos alpha+i sin alpha, y=cos beta+i sin beta and z=cos gamma+i sin gamma , then x y z=

If alpha, beta, gamma are acute angles and cos theta = sin beta//sin alpha, cos phi = sin gamma//sin alpha and cos(theta-phi)=sin beta sin gamma then the value of of tan^(2)alpha - tan^(2)beta- tan^(2)gamma is equal to

If cos alpha + cos beta + cos gamma = 0 = sin alpha + sin beta + sin gamma then show that cos ( alpha + beta) + cos ( beta + gamma) + cos ( gamma + alpha) = 0

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