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

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

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

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

Differentiate the following w.r.t x tan^(-1) ((cos x - sin x)/(cos x + sin 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 y=sin^(-1)(cos x)+cos^(-1)(sin x) , prove that (dy)/(dx)=-2

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

Draw the graph of y=tan^(-1)x+cos^(-1)x+sin^(-1)x .

If x = cosec[tan^(-1){"cos"(cot^(-1)(sec(sin^(-1)a)))}] and y="sec"[cot^(-1){"sin"(tan^(-1)(cos e c(cos^(-1)a)))}] show that x = y

If tan^-1 (x+h)=tan^-1 (x)+(h sin y)(sin y)-(h sin y)^2. (sin^2y)/2+ (h sin y)^3. (sin^3y)/3+…, where xepsilon (0,1), yepsilon (pi/4, pi/2) then (A) y=tan^-1x (B) y=sin^-1x (C) y=cot^-1x (D) y=cos^-1x