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

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

Write the simplest form : tan^-1( (cos x)/(1+sin x))

Differentiate the following w.r.t x tan^(-1) ((cos x - sin x)/(cos x + sin x))

tan^-1[(cos x)/(1+sin x)] is equal to

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

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

If alpha = sin^(-1) (cos(sin^-1) x)) and beta = cos^(-1) (sin (cos^(-1) x)) , then find tan alpha. tan beta.

Prove that: sin{tan^(-1)((1-x^2)/(2x))+cos^(-1)((1-x^2)/(1+x^2))}=1

Prove that: sin{tan^(-1)((1-x^2)/(2x))+cos^(-1)((1-x^2)/(1+x^2))}=1

If -1lexle0 then sin{tan^(-1)((1-x^(2))/(2x))-cos^(-1)((1-x^(2))/(1+x^(2)))} is equal to