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Trigonometry

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Moderate

Solving Trigonometric Equations of the Quadratic Binomial Form

TRIG-LK2QMY

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

$$\cos^2{\theta}-2\cos{\theta}=0$$

A

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

B

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

C

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

D

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

E

$\cfrac{2\pi}{3}, \cfrac{4\pi}{3}$