" An at Prove that) "4sin theta sin(8+(pi)/(3))sin(theta+(2 pi)/(3))

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

|(sin theta, cos theta, sin2theta),(sin(theta+(2pi)/(3)),cos(theta+(2pi)/(3)),sin(2theta+(4pi)/(3))),(sin(theta-(2pi)/(3)),cos(theta-(2pi)/(3)),sin(2theta-(4pi)/(3)))|=

Prove that sin(theta-(pi)/(6))+cos(theta-(pi)/(3))=sqrt(3)sin theta

Solve: sin2theta=sin((2pi)/(3)-theta)

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

The value of the determinant |sin theta,cos theta,sin2 thetasin(theta+(2 pi)/(3)),cos(theta+(2 pi)/(3)),sin(2 theta+(4 pi)/(3))sin(theta-(2 pi)/(3)),cos(theta-(2 pi)/(3)),sin(2 theta-(4 pi)/(3))

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

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