" (i) "{(sqrt(1-cos x))/(1+cos x)},-pi

Differentiate tan^(-1) sqrt((1-cos x)/(1 + cos x)), - (pi)/(4) lt x lt (pi)/(4)

convert in the simplest form: tan^(-1)(sqrt((1-cos x)/(1+cos x))),x

Differentiate the following functions with respect to x:tan^(-1){sqrt((1+cos x)/(1-cos x))},0

Solve : tan^(-1)(sqrt((1-cos x)/(1+cos x))), x lt pi

Differentiate the following functions with respect to x:tan^(-1){sqrt((1+cos x)/(1-cos x))}0

tan ^(-1) ""{(sqrt(1+cos x)+sqrt(1-cos x)}/{sqrt(1+cosx)-sqrt(1-cos x)}}=(pi)/(4)+(x)/(2) , 0 lt x lt (pi)/(2)

Differentiate the following functions with respect to x.x^((2)/(3))+7e-(5)/(x)+7tan x (ii) x^(2)*ln x*e^(x)ln tan((pi)/(4)+(x)/(2))( iv )(sin x-x cos x)/(x sin x+cos x)tan(tan^(-1)sqrt((1-cos x)/(1+cos x))),0

arctan^(-1)((cos x)/(1-sin x))-cos^(-1)(sqrt((1+cos x)/(1-cos x)))=(pi)/(4),x in(0,(pi)/(2))

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:

Prove that: tan^(^^)(-1){(sqrt(1+cos x)+sqrt(1-cos x))/(sqrt(1+cos x)-sqrt(1-cos x))}=pi/4-x/2, if pi