Solve `sin^3thetacostheta-cos^3thetasintheta=1/4dot`

Solve 3sin^2 theta -cos^2 theta=0

Solve 7cos^2theta+3sin^2theta=4

the solution of sin ^3 theta cos theta - sin theta cos^3 theta = 1/4 is

Solve sin^(2) theta-2 cos theta+1/4=0

Solve sin 3 theta-sin theta=4 cos^(2) theta-2 .

Solve (3 sin theta-sin 3 theta)/(sin theta)+(cos 3 theta)/(cos theta)=1 .

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

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

Solve : 3-2 cos theta -4 sin theta - cos 2theta+sin 2theta=0 .