Write the simplest form : `tan^(-1)(1/sqrt(x^2 -1))`, `|x|gt1`

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

tan^(-1)((1)/(sqrt(x^(2)-1))),|x|>1

Write into the simplest form: cot^(-1)(sqrt(1+x^(2))+x)

Write the simplest form : tan^-1( (cos x)/(1+sin x))

Write the simplest form : tan^(-1)( (sqrt(1+x)-sqrt(1-x))/(sqrt(1+x) + sqrt(1-x))); (-1)/sqrt(2) le x le 1

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)x)/(sqrt(a^(2)-x^(2))),|x|

Write the following in the simplest form : tan ^(-1) ((sqrt(1-x^(2)))/(1+x))= 1/2 cos^(-1) x

Write each of the following in the simplest form: cot^(-1){(a)/(sqrt(x^(2)-a^(2)))},|x|>a (ii) tan^(-1){x+sqrt(1+x^(2))},x in R

Write each of the following in the simplest form: cot^(-1){(a)/(sqrt(x^(2)-a^(2)))},|x|>a