r(i)`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

From the given figure, find : (i) cos x^(@) (ii) x^(@) (iii) (1)/(tan^(2)x^(@)) - (1)/(sin 2x^(@)) (iv) use tan x^(@) , to find the value of y

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

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

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