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

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

A

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

B

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

C

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

D

$x=\cfrac { 5\pi }{ 3 } $

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