If `0ltalphalt pi/2, 0ltbetaltpi/2` and `0ltgammalt pi/2` prove that `sin(alpha+beta+gamma) lt sinalpha+sinbeta +sin gamma`

If alpha + beta+gamma=pi , prove that sin^2 alpha + sin^ beta - sin^2 gamma = 2sinalpha sinbeta cosgamma

If alpha + beta- gamma= pi , prove that sin^(2)alpha + sin^(2)beta - sin^(2)gamma = 2sin alpha sin beta cos gamma .

Given alpha+beta-gamma=pi, prove that sin^(2)alpha+sin^(2)beta-sin^(2)gamma=2sin alpha sin beta cos gamma

Given alpha+beta-gamma=pi, prove that sin^(2)alpha+sin^(2)beta-sin^(2)gamma=2sin alpha sin beta cos gamma

If alpha,beta,gamma,in(0,(pi)/(2)), then prove that (si(alpha+beta+gamma))/(sin alpha+sin beta+sin gamma)<1

If cos alpha + cos beta + cos gamma = 0 , where 0 lt alpha le (pi)/(2),0 lt beta le (pi)/(2),0 lt gamma le (pi)/(2) . then what is the value of sin alpha + sin beta + sin gamma ?

if cos alpha+cos beta+cos gamma=0=sin alpha+sin beta+sin gamma then prove that cos2 alpha+cos2 beta+cos2 gamma=sin2 alpha+sin2 beta+sin2 gamma=0

If alpha+beta+gamma=0sin2 alpha+sin2 beta+sin2 gamma=lambda sin alpha sin beta sin gamma Find lambda.

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