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

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 each of the following in the simplest form: tan^(-1){x/(a+sqrt(a^2-x^2))}, -a

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

Write the following functions in the simplest form: tan^(-1){x/(sqrt(a^2-x^2))}

Write each of the following in the simplest form: tan^(-1){x/(a+sqrt(a^2-x^2))} where -a < x < a (ii) sin^(-1){(x+sqrt(1-x^2))/(sqrt(2))} , -1/2 < x < 1/(sqrt(2))

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

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

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