Find All Solutions in the Interval [0, 2π) $$\sin \left( \frac { x } { 2 } \right) = 2 \cos ^ { 2 } x - 1$$

question 56

Multiple Choice

Find all solutions in the interval [0, 2π) .
- $$\sin \left( \frac { x } { 2 } \right) = 2 \cos ^ { 2 } x - 1$$

• A) \(\frac { \pi } { 5 } , \pi , \frac { 9 \pi } { 5 }\)
• B) \(\frac { \pi } { 3 } , \pi , \frac { 5 \pi } { 3 }\)
• C) \(\frac { \pi } { 5 } , \frac { 9 \pi } { 5 }\)
• D) \(0 , \pi\)

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