([2,0],[7,tan^(-1)(sqrt((1-cos x)/(sqrt(1+cos x)))),0

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

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

prove that tan^(-1)((cos x)/(1-sin x))-cot^(-1)((sqrt(1+cos x))/(sqrt(1-cos x)))=(pi)/(4),x varepsilon(0,(pi)/(2))

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

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

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

If x epsilon(7pi,8pi) , then "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:

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

Find f'(x), if f(x)= tan^(-1) ""sqrt((1-cos2x)/(1+cos2x))