prove that `4sinalpha.sin(alpha+pi/3).sin(alpha+(2pi)/3)=sin3alpha`

Prove that sin alpha+sin(alpha+2pi/3)+sin(alpha+4pi/3)=0

prove that 4sin alpha*sin(alpha+(pi)/(3))*sin(alpha+(2 pi)/(3))=sin3 alpha

Show that 4 sin alpha.sin (alpha + pi/3) sin (alpha + 2pi/3) = sin 3alpha

Show that 4sin alpha*sin(alpha+(pi)/(3))sin(alpha+2(pi)/(3))=sin3 alpha

Prove that sinalpha+sin(alpha+(2pi)/3)+sin(alpha+(4pi)/3)=0 .

prove sin alpha+sin(alpha+(2pi)/3)+sin (alpha+(4pi)/3)=0

sin alpha+sin(alpha+((2pi)/3))+sin(alpha+((4pi)/3))=0

Prove that sinalpha*sin(60-alpha)sin(60+alpha) = 1/4*sin3alpha

Prove the following : sin alpha+ sin (alpha+ (2 pi)/3)+ sin (alpha+ (4 pi)/3)=0 .

Prove that (sin alpha+sin2 alpha+sin3alpha+sin4alpha)/(cos alpha+cos 2 alpha+cos 3 alpha+cos4 alpha)=tan((5 alpha)/2)