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

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 0ltalphalt pi/2, 0ltbetaltpi/2 and 0ltgammalt pi/2 prove that sin(alpha+beta+gamma) lt sinalpha+sinbeta +sin 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 cos alpha = (-3)/5 and sin beta = 7/25 where (pi)/2 lt alpha lt pi and 0 lt beta lt (pi)/2 then find the values of tan (alpha + beta) and sin (alpha + beta) .

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 0 lt alpha lt beta lt (pi)/(2) then

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)