log(sqrt((1-cos x)/(1+cos x)))

Differentiate the following w.r.t. x: log sqrt((1-cos 3x)/(1+cos 3x))

tan ^(-1)(sqrt((1-cos 3 x)/(1+cos x)))

[(d)/(dx)[log sqrt((1-cos2x)/(1+cos2x))]

(v) tan^(-1)sqrt((1+cos x)/(1-cos x))

Simplest form of tan^(-1)((sqrt(1+cos x)+sqrt(1-cos x))/(sqrt(1+cos x)-sqrt(1-cos x))), pi lt x lt (3 pi)/(2) is:

y=log(sqrt((1-cos(3(x)/(2)))/(1+cos(3(x)/(2))))) differentiate wr.t.

tan^(-1){(sqrt(1+cos x)+sqrt(1-cos x))/(sqrt(1+cos x)-sqrt(1-cos x))}