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

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

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

Prove that cos (tan^(-1) (sin (cot^(-1) x))) = sqrt((x^(2) + 1)/(x^(2) + 2))

The value of underset(|x| rarr oo)("lim") cos (tan^(-1) (sin (tan^(-1) x))) is equal to

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

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

If x in (0,1) and f(x)=sec{tan^(-1)((sin(cos^(-1)x)+cos(sin^(-1)x))/(cos(cos^(-1)x)+sin(sin^(-1)x)))} , then sum_(r=2)^(10)f(1/r) is _______ .

int_(-1)^(1)[tan^(-1){sin(cos^(-1)x)}+cot^(-1){cos(sin^(-1)x)}dx=

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

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