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

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) $0 , \frac { 2 \pi } { 3 } , \frac { 4 \pi } { 3 }$