सिद्ध कीजिए की ` sin 4 theta - sin 2 theta = 2cos 3 theta * sin theta`.

4 sin 5 theta cos 3 theta sin 2 theta

sin4 theta-sin2 theta=cos3 theta

sin theta+sin2 theta+sin3 theta=1+cos theta+cos2 theta

Prove that ( cos theta + cos 2 theta + cos 3 theta + cos 4 theta)/(sin theta + sin 2 theta + sin 3 theta + sin 4 theta)= cot ""(5theta)/(2).

sin 7 theta * sin theta+sin11theta * sin 3theta= A) sin 4 theta * sin 10theta B) cos 4 theta * cos 10 theta C) sin 8 theta * sin 4 theta D) cos 8 theta * cos 14 theta

((cos theta - cos 3 theta ) ( sin 8 theta + sin 2 theta ))/(( sin 5 theta - sin theta )( cos 4 theta - cos 6 theta ))=

sin^(3)theta + sin theta - sin theta cos^(2)theta =

If 3cos theta-4sin theta=2cos theta+sin theta, find tan theta.

Evaluate the following determinants: (b) |(cos theta, -sin theta),(sin theta, cos theta)| = cos theta (cos theta) - sin theta(-sin theta) = cos^(2) theta + sin^(2) theta = 1

Show that ((cos theta - cos 3 theta) (sin 8 theta + sin 2 theta))/((sin 5 theta - sin theta) (cos 4 theta- cos 6 theta))=1