Write the following in the simplest form:
`"tan"^(-1)(sqrt(1+x^(2))-1)/x,x!=0`

Write the following in the simplest form cot^(-1)(sqrt(1+x^(2))-x)

Write the following in the simplest form cot^(-1)(sqrt(1+x^(2))+x)

Write the following in the simplest form: tan^(-1)(1/(sqrt(x^(2)-1))),|x|ltq

Write the following function in the simplest form : "tan"^(-1)(sqrt(1+x^(2))-1)/x, x!=0

Write the following function in the simplest form : "tan"^(-1)(sqrt(1+x^(2))-1)/x, x!=0

Write the following function in the simplest form: tan^(-1)((sqrt(1+x^(2))-1)/(x)),x!=0

Write each of the following in the simplest form: tan^(-1){(sqrt(1+x^(2))+1)/(x)},x!=0 (ii) *tan^(^^)(-1)sqrt((a-x)/(a+x)),1backslash-a