Solve the Equation for Solutions in the Interval [0, 2 $\cos 2 x = \sqrt { 2 } - \cos 2 x$

question 276

Multiple Choice

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

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

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