Answer
$0.3649, 1.2059, 3.5065, 4.3475$
Work Step by Step
1. Use the identity $2sin(x)cos(x)=sin(2x)$, we have $sin(2x)=\frac{2}{3}$ and $asin(\frac{2}{3})=0.72973$
2. For $x\in[0,2\pi)$ and $2x\in[0,4\pi)$, we can find $2x=0.72973, \pi-0.72973, 2\pi+0.72973, 3\pi-0.72973$
3. Thus $x=0.3649, 1.2059, 3.5065, 4.3475$
