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

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

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

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

If A=(1)/(pi)[{:(sin^(-1)(pix),tan^(-1)((x)/(pi))),(sin^(-1)((x)/(pi)),cot^(-1)(pix)):}] and B=(1)/(pi) [{:(-cos^(-1)(pix), tan^(-1)((x)/(pi))),(sin^(-1)((x)/(pi)),-tan^(-1)(pix)):}] then A-B is equal to

Differentiate w.r.t x (i) b tan ^(-1)(x/a+tan^(-1)"(x)/a) (ii) (sin ^(-1)x)^(2)-(cos^(-1)x)^2

2 tan^(-1) (cos x) = tan^(-1) (2 cosec x)

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