If $g(f(x))=|\sin x|$ and $f(g(x))=(\sin \sqrt{x})^2$, then

• Correct answer
  A

  $f(x)=\sin ^2 x, g(x)=\sqrt{x}$
• B

  $f(x)=\sin x, g(x)=|x|$
• C

  $f(x)=x^2, g(x)=\sin \sqrt{x}$
• D

  $f(x)=|x|, g(x)=\sin x$

Hence, the correct answer is option: 'A'.