Find the Exact Solutions of the Given Equation in the Interval

question 17

Multiple Choice

Find the exact solutions of the given equation in the interval $[ 0,2 \pi )$ .
$\sin 2 x = \sin x$

• A) \(x = \frac { 2 \pi } { 3 } , \pi , \frac { 4 \pi } { 3 }\)
• B) \(x = 0 , \frac { \pi } { 3 } , \pi , \frac { 5 \pi } { 3 }\)
• C) \(x = \frac { \pi } { 2 } , \frac { 7 \pi } { 6 } , \frac { 11 \pi } { 6 }\)
• D) \(x = 0 , \frac { \pi } { 3 } , \frac { 2 \pi } { 3 } , \pi , \frac { 4 \pi } { 3 } , \frac { 5 \pi } { 3 }\)
• E) \(x = 0\)