[" 12.If "4n theta=pi" ,then "],[qquad sin^(2)theta+sin^(2)3 theta+sin^(2)5 theta+....2n" terms is equal to "]

Prove that sin^(3)theta+sin^(3)3 theta+sin^(3)5 theta+....+n terms is equal to

If 4n theta=pi, then sin^(2)theta+sin^(2)3 theta+sin^(2)5 theta+....2n terms is equal to: (1)n,(2)2n*(3)3n(4)n^(2)

If 4n theta = pi , then sin^2 theta+ sin^2 3theta + sin^2 5theta +.... 2n terms is equal to:(1) n , (2) 2n . (3) 3n (4) n^2

If n is even then sin theta + sin ( pi + theta ) + sin (2 pi + theta) + ...........n terms =

The sum of the series sin theta+sin((n-4)/(n-2))theta+sin((n-6)/(n-2))theta+......*n terms is equal to

If sin theta + cosec theta =2, then sin^n theta+"cosec"^n theta is equal to

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