prove ` sin(5theta) = 16sin^5(theta)-20sin^3(theta)+5sin(theta)`

If theta be any real, prove that : sin5 theta= 5sin theta-20 sin^3 theta+16 sin^5 theta .

If sin5 theta=5sin theta-20sin^(3)theta+k sin^(5)theta then the value of k is

Prove that : (sin theta + 2 sin 3theta + sin 5theta)/(sin 3theta + 2 sin 5theta + sin 7theta) = (sin 3theta)/(sin 5theta)

Prove that (sin theta + sin 3theta+ sin 5 theta + sin 7theta)/(cos theta + cos 3theta + cos 5 theta + cos 7theta) = (tan 3theta + tan theta)/(1 - tan 3theta tan theta) .

4 sin 5 theta cos 3 theta sin 2 theta

Prove that cos^(2)theta sin^(3)theta=1/16(2 sin theta+sin 3theta-sin5 theta)

Prove that : (sin 5theta - 2 sin 3theta + sin theta)/(cos 5theta -cos theta) = tan theta

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

prove that (sin theta-sin5 theta+sin9 theta-sin13 theta)/(cos theta-cos5 theta-cos9 theta+cos13 theta)=cot4 theta

sin theta + sin3 theta + sin5 theta = 0