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

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

cos^(-1)(sqrt((1+cos x)/2))

Prove that sqrt ((1- cos 2x)/( 1 + cos 2x )) = tan x, x in I or III quad.

tan ^(-1)(cos sqrt(x))

tan^(-1) ((1-cos x)/(sin x))

Evaluate: int cos {2 tan^(-1) sqrt((1-x)/(1+x))}dx

Prove that : (1)/(2) cos^(-1) ((1+ 2 cos x)/( 2+cosx) ) = tan^(-1) ((1)/(sqrt(3)) "tan" (x)/(2))

The derivative of cos(2tan^(-1)sqrt((1-x)/(1+x)))-2cos^(-1)sqrt((1-x)/(2)) w.r.t. x is

Prove that : cos^(-1) x = 2 cos^(-1) sqrt((1+x)/(2)) (ii) Prove that : tan^(-1)((cosx + sin x)/(cosx - sin x)) = (pi)/(4)+ x

y=tan^(-1)(cos x/(1+sin x))