Prove that : `4 sin theta sin (theta + pi/3) sin (theta + (2pi)/3) = sin 3 theta`

Prove that: 4sin theta sin(theta+(pi)/(3))sin(theta+(2 pi)/(3))=sin3 theta

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

Prove that sin (pi + theta) = - sin theta

Prove that 4 sin theta sin(pi/3 + theta) sin (pi/3-theta) = sin 3 theta

Prove that : (sin theta + 2 sin 3theta + sin 5theta)/(sin 3theta + 2 sin 5theta + sin 7theta) = (sin 3theta)/(sin 5theta)

Prove that sin theta cos^(3)theta - cos theta sin^(3) theta = (1)/(4) sin 4 theta .

Prove that sin ^(2) theta + sin ^(2) (theta+(pi)/(3))+ sin ^(2) (theta-(pi)/(3))=(3)/(2)

If x sin theta = y sin ( theta + (2pi)/3) = z sin ( theta+ (4pi)/3), then the value of xy+yz+zx will be-

Prove that 4sin theta sin((pi)/(3)+theta)sin((2 pi)/(3)+theta)=sin3 theta

Prove that 4sinthetasin(pi/3+theta)sin((2pi)/3+theta)=sin3theta