If cos α+2 cos β+3 cos γ=0, sin α+2 sin β+3 sin γ=0 and α+β+γ=π, then 3α+8 sin 3β+27 sin 3 γ=

Question

If cos α+2 cos β+3 cos &gamma;=0, sin α+2 sin β+3 sin &gamma;=0 and α+β+&gamma;=π, then 3α+8 sin 3β+27 sin 3 &gamma;= (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

sin 3α+8 sin 3 β+27 sin 3&gamma;=18 sin (α+β+&gamma;) =18 sin π=0

Q. If $cos α + 2 cos β + 3 cos γ = 0, s in α + 2 s in β + 3 s in γ = 0$ and $α + β + γ = π$ , then $3 α + 8 s in 3 β + 27 s in 3 γ$ =