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Solving Trigonometric Equations (Sec and Sin)

TRIG-YL07P4

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

$$\sec{x}\sin{x}-\sec{x}=0$$

A

This equation is not solvable.

B

$\cfrac{\pi}{2}$

C

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

D

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

E

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