tan(1)/(2)[sin^(-1)(2x)/(1+x^(2))+cos^(-1)(1-y^(2))/(1+y^(2))],|x|<1,y>

Find the values of the following tan frac(1)(2) [sin^(-1)((2x)/(1+x^2))+ cos^(-1) ((1-y^2)/(1+y^2))],|x| lt 1, y gt 0 and x y lt 1

tan{(1/2)sin^(-1)((2x)/(1+x^(2)))+1/2cos^(-1)((1-y^(2))/(1+y^(2)))} .

tan[1/2sin^(-1)((2x)/(1+x^(2)))-1/2cos^(-1)((1-y^(2))/(1+y^(2)))]=

Simplity tan{1/2sin^(-1)((2x)/(1+x^(2)))+1/2cos^(-1)(1-y^(2))/(1+y^(2))} , if xgtygt1 .

Find the value of: tan1/2[sin^(-1)(2x)/(1+x^2)+cos^(-1)(1-y^2)/(1+y^2)],|x| 0 and x y" "<" "1

Prove that tan{1/2sin^(-1)((2x)/(1+x^(2)))+1/2cos^(-1)((1-y^(2))/(1+y^(2)))}=(x+y)/(1-xy) , where |x| lt 1,y gt 0 and xy lt 1 .

Prove that : tan(1/2){sin^(-1)((2x)/(1+x^2))+cos^(-1)((1-y^2)/(1+y^2))}=(x+y)/(1-x y) , if |x| 0 and x y<1 .

tan[1/2Sin^(-1)((2x)/(1+x^(2)))-1/2Cos^(-1)((1-y^(2))/(1+y^(2)))]=

Express the value of the following in simplest form. "tan"{1/(2)"sin"^(-1)(2x)/(1+x^(2))+1/(2)"cos"^(-1)(1-y^(2))/(1+y^(2))}