Answer
$\frac{\pi}{3},\frac{2\pi}{3},\frac{4\pi}{3},\frac{5\pi}{3}$
Work Step by Step
From $ sin^2\theta=\frac{3}{4}$, we have $ sin\theta=\frac{\sqrt 3}{2}$ or $ sin\theta=-\frac{\sqrt 3}{2}$.
Within $[0,2\pi]$, the answers for the above are: $\theta=\frac{\pi}{3},\frac{2\pi}{3},\frac{4\pi}{3},\frac{5\pi}{3}$
