If `f(x) = tan (tan^-1 x^2) + sin (sin^-1 x)` then :

tan(sin^(-1)x)

sin (tan ^(-1)2x)

sin (tan ^(-1)2x)

If f (x) = tan ^(-1)sqrt((1 + sin x )/(1 - sin x)), 0 le x le (pi)/(2) then f' ((pi)/(6)) =?

If f (x) = tan ^(-1)sqrt((1 + sin x )/(1 - sin x)), 0 le x le (pi)/(2) then f' ((pi)/(6)) =?

Let f(x) = sin (sin^-1 2x) + cosec (cosec^-1 2x) + tan(tan^-1 2x) , then which one of the following statements is/are incorrect ?

f(x)=tan^(-1)(sin x) is increasing in

f (x) = sin | x | + sin ^ (- 1) (tan x) + sin (sin ^ (- 1) x)