If `x sintheta=ysin(theta+(2pi)/(3))=z sin(theta+(4pi)/(3)),` then

If xsintheta=ysin(theta+(2pi)/3)=z sin (theta+(4pi)/3), ,prove that xy + yz + zx = 0.

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

If sin^(3)theta+sin^(3)(theta+(2pi)/(3))+sin^(3)(theta+(4pi)/(3))=a sinb theta . Find the value of |(b)/(a)| .

If sin^(3)theta+sin^(3)(theta+(2pi)/(3))+sin^(3)(theta+(4pi)/(3))=a sinb theta . Find the value of |(b)/(a)| .

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

If xcostheta=ycos(theta+(2pi)/3)=z cos(theta+(4pi)/3) , prove that x y+y z+z x=0.

If xcostheta=ycos(theta+(2pi)/3)=z cos(theta+(4pi)/3) , prove that x y+y z+z x=0.

If x cos theta = y cos (theta + (2pi)/(3)) = z cos (theta + (4pi)/(3)) , find the value of xy + yz + zx