30.sqrt((1-x)/(1+x))

Prove that sin [2 tan^(-1) {sqrt((1 -x)/(1 + x))}] = sqrt(1 - x^(2))

Prove that sin [2 tan^(-1) {sqrt((1 -x)/(1 + x))}] = sqrt(1 - x^(2))

Prove that sin [2 tan^(-1) {sqrt((1 -x)/(1 + x))}] = sqrt(1 - x^(2))

Prove that sin [2 tan^(-1) {sqrt((1 -x)/(1 + x))}] = sqrt(1 - x^(2))

int_( then )^( If )sqrt((1-x)/(1+x))(dx)/(x)=log((sqrt(1+x)-sqrt(1-x))/(sqrt(1+x)+sqrt(1-x)))+2f(x)+C

tan^(-1)(sqrt((1-x)/(1+x)))

Write each of the following in the simplest form: (i) sin^(-1){(sqrt(1+x)+sqrt(1-x))/2},\ \ 0 < x <1 (ii) sin{2tan^(-1)(sqrt((1-x)/(1+x)))}

int_(-1)^(1)sqrt((1-x)/(1+x))dx=

int_(-1)^(1)sqrt((1-x)/(1+x))dx=

Prove that sin[2tan^(-1){sqrt((1-x)/(1+x))}]=sqrt(1-x^2)