Answer
$\theta=k\pi+\frac{\pi}{12}$ or $\theta=k\pi+\frac{5\pi}{12}$ (k is an integer).
Work Step by Step
1. Given $sin(2\theta)=0.5$, we have $2\theta=2k\pi+\frac{\pi}{6}$ or $2\theta=2k\pi+\frac{5\pi}{6}$
2. Thus $\theta=k\pi+\frac{\pi}{12}$ or $\theta=k\pi+\frac{5\pi}{12}$ (k is an integer).
