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Trigonometry

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Solving Trigonometric Equations of Trinomial Form (Sin and Cos)

TRIG-4JG4M5

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

$$\cos^2{\theta}+\sin{\theta}+1=0$$

A

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

B

$\cfrac{\pi}{2}, \cfrac{3\pi}{2}, \cfrac{\pi}{4}, \cfrac{5\pi}{4}$

C

$0, \pi, \cfrac{\pi}{4}, \cfrac{5\pi}{4}$

D

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

E

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