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) $x = 0$

Question

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) $x = 0$

Quizplus · Accepted Answer

The Answer of 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) $x = 0$

Find the Exact Solutions of the Given Equation in the Interval