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Trigonometry

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Solving Trigonometric Equations (Double Angle)

TRIG-N3YQ1R

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

$$\cos{2\theta}+2\sin{\theta}=-3$$

A

This equation is not solvable.

B

$\cfrac{\pi}{2}$

C

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

D

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

E

$0, \pi, \cfrac{\pi}{2}, \cfrac{3\pi}{2}$