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

$2\cos { 2x-1=0 } $

A

$\cfrac { \pi }{ 6 } ,\cfrac { 11\pi }{ 6 } $

B

$\cfrac { 5\pi }{ 6 } ,\cfrac { 7\pi }{ 6 } $

C

$\text{no solution}$

D

$\cfrac { \pi }{ 6 } ,\cfrac { 5\pi }{ 6 } ,\cfrac { 7\pi }{ 6 } ,\cfrac { 11\pi }{ 6 } $

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