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

question 46

Multiple Choice

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

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

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