Solve the Equation for Solutions in the Interval [0, 2 $$[ 0,2 \pi )$$

Multiple Choice

Solve the equation for solutions in the interval [0, 2 $$[ 0,2 \pi )$$
- $\cos 2 x = \sqrt { 2 } - \cos 2 x$

A) $\varnothing$
B) $\left\{ 0 , \frac { 2 \pi } { 3 } , \pi , \frac { 4 \pi } { 3 } \right\}$
C) $\left\{ \frac { \pi } { 4 } , \frac { 3 \pi } { 4 } , \frac { 5 \pi } { 4 } , \frac { 7 \pi } { 4 } \right\}$
D) $\left\{ \frac { \pi } { 8 } , \frac { 9 \pi } { 8 } , \frac { 7 \pi } { 8 } , \frac { 15 \pi } { 8 } \right\}$