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

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

16sin theta-12sin^(2)theta?

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

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) .

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

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

Let f_(n)(theta)= 2 sin . (theta)/(2) sin. (3theta)/(2) + 2 sin.(theta)/(2) sin. (5theta)/(2) + 2sin. (theta)/(2) sin. (7 theta)/(2) + ... + 2 sin (2 n+1) (theta)/(2), n in N , then which of the following is/are correct ?

Prove that sin theta sin(60^(@)-theta) sin(60^(@)+theta)=1/4 sin3theta .