`sin^2 alpha+sin^2 (120^@ +alpha) + sin^2 (120^@ - alpha) =`

Prove that sin alpha + sin (120^(@) + alpha) + sin(240^(@)+ alpha)=0

If p sin alpha = q sin (120^(@) + alpha) = r sin (240^(@) + alpha),"prove that", pq + qr +rp = 0

Show that: sin^(3) alpha + sin^(3) (120^(@) + alpha) + sin^(3) (240^(@) + alpha)= - 3/4 sin 3 alpha

Assertion (A):cos^(2)theta+cos^(2)(60^(@)-theta)+cos^(2)(60^(@)+theta)=(3)/(2)sin alpha-sin(120^(@)-alpha)+sin(120^(@)+alpha)=0

Assertion (A):cos^(2)theta+cos^(2)(60^(@)-theta)+cos^(2)(60^(@)+theta)=(3)/(2)sin alpha-sin(120^(@)-alpha)+sin(120^(@)+alpha)=0

If p sin alpha=q sin(120^(@)+alpha)=r sin(240^(@)+alpha) ,prove that ,pq+qr+rp=0

Prove that sin^(3)alpha+sin^(3)(120^(@)+alpha)+sin^(3)(240^(@)+alpha)=-(3)/(4)sin3 alpha

Show that sin^3alpha+sin^3(120^@+alpha)+sin^3(240^@+alpha)=-3/4sin3alpha

If sin (120^(@) - alpha) = sin (120^(@) - beta) and 0 lt alpha,beta lt pi then all the values of alpha,beta are

If alpha=(pi)/(8 n) then prove that sin^(2) alpha+ sin^(2)3 alpha+ sin ^(2) 5 alpha+.. to 2n terms =n.