`sin 2 alpha + sin 2 beta + sin 2 gamma - sin2(alpha + beta + gamma )=`

If cos alpha + cos beta + cos gamma = 0 = sin alpha + sin beta + sin gamma then show that sin 3 alpha + sin 3 beta + sin 3 gamma = 3 sin ( alpha + beta + gamma)

"Prove that : " sin alpha + sin beta + sin gamma - sin ( alpha + beta + gamma) =4 "sin" (alpha+beta)/2 "sin"(beta + gamma)/2 "sin"(gamma+alpha)/2

If cos alpha + cos beta + cos gamma = sin alpha + sin beta + sin gamma = 0 , show that sin 3alpha + sin 3 beta + sin 3gamma = 3 sin (alpha + beta + gamma)

If cos alpha + 2 cos beta + 3 cos gamma = 0 , sin alpha + 2 sin beta + 3 sin gamma = 0 and alpha + beta + gamma = pi , then sin 3 alpha + 8 sin 3 beta + 27 sin 3 gamma =

If alpha, beta, gamma are positive acute angles, prove that sin alpha+sin beta+ sin gamma gt sin (alpha+ beta+ gamma)

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

If alpha, beta , gamma are angles of a triangle then the value of (sin^(2) alpha + sin ^(2) beta+sin ^(2) gamma-2 cos alpha cos beta cos gamma) is-

If cos alpha + 2cos beta+ 3 cos gamma = 0, sin alpha + 2sin beta +3 sin gamma= 0 and alpha + beta + gamma= pi , then sin 3alpha + 8 sin 3 beta + 27 sin 3 gamma =

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

Prove the following : sin alpha+ sin beta+ sin gamma - sin (alpha+beta+gamma)= 4sin frac (alpha+beta)(2) sin frac (beta+gamma)(2) sin frac (gamma+alpha)(2) .