If `alpha + beta + gamma, pi, ` then the value of `sin ^(2) alpha + sin ^(2) beta - sin^(2) gamma `is equal to

If sin alpha+sin beta+sin gamma=0=cos alpha+cos beta+cos gamma, then the value of sin^(2)alpha+sin^(2)beta+sin^(2)gamma, is

If 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=pi , then sin^(2)alpha=sin^(2)beta-sin^(2)gamma is equal to

2tan ^ (2) alpha tan ^ (2) beta tan ^ (2) gamma + tan ^ (2) alpha tan ^ (2) beta + tan ^ (2) beta tan ^ (2) gamma + tan ^ (2) gamma tan ^ (2) alpha find the value of sin ^ (2) alpha + sin ^ (2) beta + sin ^ (2) gamma

If cos alpha + cos beta + cos gamma = 0 = sin alpha + sin beta + sin gamma then (a) sin ^ (2) alpha + sin ^ (2) beta + sin ^ (2) gamma = (3) / ( 2) (b) sin ^ (2) alpha + sin ^ (2) beta + sin ^ (2) gamma = (3) / (4) (c) cos ^ (alpha) + cos ^ (2) beta + cos ^ (2) gamma = (3) / (2) (d) cos ^ (2) alpha + cos2 beta + cos2 gamma = -1

If sin alpha + sin beta + sin gamma=3, " then " sin^(3) alpha+ sin^(3)beta+ sin^(3) gamma= _________

cos alpha+cos beta+cos gamma=0sin alpha+sin beta+sin gamma=0 then the value of sin^(4)alpha+sin^(4)beta+sin^(4)gamma

If cos alpha, cos beta, cos gamma are the direction cosines of a line then the value of sin^(2) alpha + sin^(2) beta + sin^(2) gamma is__________