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Solve the following equation on the interval $[0, 2\pi)$:

$$2\sin^2{x}-1=0$$

A

$\cfrac{\pi}{4}, \cfrac{3\pi}{4}$

B

$\cfrac{\pi}{6}, \cfrac{5\pi}{6}$

C

$\cfrac{\pi}{6}, \cfrac{5\pi}{6}, \cfrac{7\pi}{6}, \cfrac{11\pi}{6}$

D

$\cfrac{\pi}{3}, \cfrac{2\pi}{3}$

E

$\cfrac{\pi}{4}, \cfrac{3\pi}{4}, \cfrac{5\pi}{4}, \cfrac{7\pi}{4}$

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