Find All Solutions in the Interval [0, 2π) $\cos ^ { 2 } \left( \frac { x } { 2 } \right) = \cos ^ { 2 } x$

question 170

Multiple Choice

Find all solutions in the interval [0, 2π) .
- $\cos ^ { 2 } \left( \frac { x } { 2 } \right) = \cos ^ { 2 } x$

• A) \(0 , \frac { 2 \pi } { 3 } , \frac { 4 \pi } { 3 }\)
• B) \(0 , \frac { 2 \pi } { 3 }\)
• C) \(\frac { \pi } { 6 } , \pi , \frac { 11 \pi } { 6 }\)
• D) \(0 , \frac { \pi } { 6 }\)

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