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

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

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

Prove that, sin^(2) alpha + sin^(2) (120^(@) - alpha) + sin^(2) (120^(@) + alpha) = 3/2

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

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

Prove that sin ( alpha + 30^(@)) = cos alpha + sin (alpha - 30^(@))

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

Prove that sin^(4) alpha + cos^(4) alpha + 2 sin^(2) alpha cos^(2) alpha = 1 .