Prove that : `sin theta cos^3 theta - cos theta sin^3 theta = 1/4 sin4theta`.

Prove that: sin theta cos^(3)theta-cos theta sin^(3)theta=(1)/(4)sin4 theta

Prove that sin theta cos^(3)theta - cos theta sin^(3) theta = (1)/(4) sin 4 theta .

sin theta cos ^ (3) theta-cos theta sin ^ (3) theta = (1) / (4) sin4 theta

Prove that : (cos 4theta + cos 3theta + cos 2theta)/(sin 4theta + sin 3theta + sin 2theta) = cot 3theta

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

Prove that : (1-sin theta cos theta)/ (cos theta (sec theta - cosec theta)) times (sin^2 theta - cos^2 theta)/(sin^3 theta + cos^3 theta) = sin theta

Prove that (cos^3 theta -cos 3 theta)/(cos theta)+ (sin^3 theta+sin3 theta)/(sin theta)=3 .

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