=cot^(-1)((sqrt(1+x^(2))+1)/(x))

The solution set of equation sin^(-1)sqrt(1-x^(2))+cos^(-1)x=cot^(-1)((sqrt(1-x^(2)))/(x))-sin^(-1)

cot^(-1)((sqrt(1-x^(2)))/(x))

cot^(-1)(sqrt(1+x^2)-x)

cot^(-1)sqrt(x)

cot^(-1)sqrt(x)

The solution set of the equation sin^(-1)sqrt(1-x^(2))+cos^(-1)x=(cot^(-1)(sqrt(1-x^(2))))/(x)-sin^(-1)x is (a) [-1,1]-{0}(b)(0,1)uu{-1}(c)(-1,0)uu{1} (d) [-1,1]

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

(d)/(dx)[cot^-1((1+sqrt(1-x^(2)))/(x))]=