If f(x) is defined on (0, 1], then the domain of $f\left(\sin x\right)$ is

• A

  $\left(2n\pi ,\left(2n+1\right)\pi \right),n\in Z$

• B

  $\left(\left(2n+1\right)\frac{\pi }{2},\left(2n+3\right)\frac{\pi }{2}\right);n\in Z$

• C

  $\left(\left(n-1\right)\pi ,\left(n+1\right)\pi \right),n\in Z$

• D

  $\left(n\pi ,\left(2n+1\right)\pi \right)n\in Z$