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

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

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

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

If -1< x < 0 , then cos^(-1)x is equal to (a) sec^(-1)(1/ x) (b) pi-sin^(-1)sqrt(1+x^2) (c) pi+tan^(-1)(x/(sqrt(1-x^2))) (d) cot^(-1)(x/(sqrt(1-x^2))) .

If -1< x < 0 , then cos^(-1)x is equal to (a) sec^(-1)(1/ x) (b) pi-sin^(-1)sqrt(1+x^2) (c) pi+tan^(-1)(x/(sqrt(1-x^2))) (d) cot^(-1)(x/(sqrt(1-x^2))) .

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

Differentiate sin^(-1)sqrt(1-x^(2)) with respect to cot^(-1)((x)/(sqrt(1-x^(2)))), if ^(@)0

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