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Moderate

Solve Trigonometric Equations: Cotangent

TRIG-RI7RUN

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

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

A

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

B

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

C

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

D

$x=0,\pi ,2\pi$