`sinthetacos^3theta-costhetasin^3theta=1/4sin4theta`

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

Prove that: a) cotthetacot(60^(@)-theta)cot(60^(@)+theta)=cot3theta b) cos5theta=16cos^(5)theta-2thetacos^(3)theta+5costheta c) sin4theta=4sinthetacos^(3)theta-4costhetasin^(3)theta

Prove that: a) cotthetacot(60^(@)-theta)cot(60^(@)+theta)=cot3theta b) cos5theta=16cos^(5)theta-2thetacos^(3)theta+5costheta c) sin4theta=4sinthetacos^(3)theta-4costhetasin^(3)theta

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

prove that- (sinthetacos^3theta+sin^3thetacostheta)/(sinthetacostheta)=1

sin 4theta=4sin thetacos^3 theta-4costhetasin^3theta

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

prove : cos^3 thetasin3theta+sin^3thetacos3theta=3/4 sin4theta

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

Prove that (sin theta sin9theta+sin 3 thetasin5 theta)/(sinthetacos 9theta+sin3theta cos5theta)=tan 6 theta