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 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|

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+x^(2))-1)/(x)),x!=0

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

Write the following function in the simplest form: sin^(-1)[x sqrt(1-x)-sqrt(x)sqrt(1-x^(2))]

Write the following functions in the simplest from : sin^(-1)(x^(2)sqrt(1-x^(2))+xsqrt(1-x^(4)))

Write the following functions in the simplest from : sin^(-1)(x^(2)sqrt(1-x^(2))+xsqrt(1-x^(4)))

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