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Trigonometry

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Difficult

Multiple Angles: Tangent

TRIG-NYCJWL

Find the exact solutions in the interval $[0,2\pi )$ for the following equations:

$2\tan { 2x=4\cos { x } }$

A

$\text{No Solution}$

B

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

C

$x=\cfrac { \pi }{ 6 } ,\cfrac { 5\pi }{ 6 } $

D

$x=\cfrac { \pi }{ 6 } ,\cfrac { 5\pi }{ 6 } ,\cfrac { 3\pi }{ 2 } ,\cfrac { \pi }{ 2 } $