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Trigonometry

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Solve Trigonometric Equations: Cosines with Factoring

TRIG-F9HIJE

Find the solutions to the equation on the interval $[0,2\pi ]$.

$$\cos ^{ 2 }{ x } +\cos { x=0 }$$

A

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

B

$x=\pi $

C

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

D

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