sin(|x|) is the sine of the absolute value of x. The argument to the sine function will always be non-negative. The final result ranges from -1 to 1 as is the case with sin(x).
|sin(x)| is the absolute value of the sine of x. The argument to the sine function can take on any real value. The final result ranges from 0 to 1 since the absolute value is taken after the sine is calculated.