Question

Question #24663

Answer 1

`sin(tan^-1(2x))`

`=sin(cot^-1(1/(2x)))`

`=sin(csc^-1(sqrt(1+1/(4x^2))))`

`=sin(sin^-1(1/(sqrt(1+1/(4x^2)))))`

`=1/(sqrt(1+1/(4x^2)))`

`=(2x)/(sqrt(4x^2+1))`