" 23."cot^(-1)((sqrt(1-x^(2)))/(x))

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

cot^(-1)sqrt(x)

cot^(-1)sqrt(x)

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

If sec^(-1)(1/(sqrt(1-x^(2))))+cot^(-1)((sqrt(1-x^(2)))/x)=sin^(-1)(k) then k=

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

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

Express sin^(-1)x in terms of (i) cos^(-1)sqrt(1-x^(2)) (ii) "tan"^(-1)x/(sqrt(1-x^(2))) (iii) "cot"^(-1)(sqrt(1-x^(2)))/x