Prove that `cos^(3)thetasin3theta+sin^(3)theta cos 3theta=(3)/(4)sin 4 theta`.

Prove that cos^6 theta+ sin^6 theta= 1-3sin^2 theta cos^2 theta

Prove the following identity: cos^3thetasin3theta+sin^3thetacos3theta=3/4sin4thetadot

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

Prove that (cos^3 theta-sin^3 theta)/(cos theta-sin theta) = 1+cos theta sin theta

Prove that sin^(4)theta-cos^(4)theta=sin^(2)theta-cos^(2)theta .

Prove that : (2 cos^(3) theta-cos theta)/(sin theta-2 sin^(3)theta)=cot theta

Prove that: sin4 theta=4 sin theta cos^(3)theta-4cos theta sin^(3)theta

Prove that : (sin 5theta + sin 3theta)/(cos 5theta + cos 3theta) = tan 4theta

Prove that (cos^3theta+sin^3 theta)/(cos theta+sin theta)+(cos^3 theta-sin^3 theta)/(cos theta-sin theta)=2