Find All Solutions of the Following Equation in the Interval $$[ 0,2 \pi )$$

Multiple Choice

Find all solutions of the following equation in the interval $$[ 0,2 \pi )$$ $2 \cos ^ { 2 } x = 2 + \sin x$

A) $x = 0 , \frac { \pi } { 4 } , \frac { 3 \pi } { 4 }$
B) $x = 0 , \frac { 3 \pi } { 4 } , \frac { 4 \pi } { 3 } , \frac { 11 \pi } { 6 }$
C) $x = \frac { \pi } { 2 } , \frac { 2 \pi } { 3 } , \frac { 4 \pi } { 3 } , \frac { 3 \pi } { 2 }$
D) $x = 0 , \pi , \frac { 7 \pi } { 6 } , \frac { 11 \pi } { 6 }$
E) $x = \frac { \pi } { 2 } , \frac { 3 \pi } { 4 } , \frac { 3 \pi } { 2 } , \frac { 7 \pi } { 6 }$