`sin theta + sin (120^(@) + theta ) + sin ( theta - 120^(@))`=

sin theta+sin(120^(@)+theta)-sin(120^(@)-theta

If a sin theta =b sin (120^(@) +theta) =c sin (240^(@) +theta), then the value of (ab+ bc+ ca) is-

sin (60^(@) + theta) - sin ( 60^(@) - theta ) = sin theta.

sin 4 theta + 2 sin 8 theta + sin 12 theta = ?

Prove that sin^(3)theta + sin^(3) (120^(@) + theta) + sin^(3) (240^(@) + theta) = (-3)/(4) sin 3theta .

If cot theta = 8//15 and theta does not lie in the first quadrant , then cos (30^(@) + theta ) + sin (45^(@) - theta ) + cos(120^(@) + theta ) =

(sin 3 thea - sin theta sin ^(2) (2 theta ))/( sin theta + sin 2 theta cos theta ) = cos x implies x =

Maximum and minimum value of sin^(2)(120^(@) + theta ) + sin^(2) (120^(@) - theta ) are

(sin3 theta-sin theta * sin ^ (2) (2 theta)) / (sin theta + sin2 theta * cos theta) = cos x rarr x =