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

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

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

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: 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

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

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

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)) } ,\ \ -a

Write the following functions in the simplest form: (i) tan^(-1){x/(sqrt(a^2-x^2))},\ -a< x < a (ii) tan^(-1){sqrt((a-x)/(a+x))},\ -a< x < a