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

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

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

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

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

Write the following function in the simplest form: tan^-1 sqrt((1-cosx)/(1+cosx))

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) sin^(-1){x/(sqrt(x^2+a^2))} (ii) cos^(-1){x/(sqrt(x^2+a^2))}

Write the following function in the simplest form: tan^(-1)((3a^2x-x^3)/(a^3-3a x^2)), a >0;(-a)/(sqrt(3))lt=xlt=a/(sqrt(3))

Write the following function in the simplest form: tan^(-1)((3a^2x-x^3)/(a^3-3a x^2)), a >0;(-a)/(sqrt(3))lt=xlt=a/(sqrt(3))

Write the following function in the simplest form: tan^(-1)((3a^2x-x^3)/(a^3-3a x^2)), a >0;(-a)/(sqrt(3))lt=xlt=a/(sqrt(3))