Find All Solutions of the Following Equation in the Interval $\sin ^ { 3 } x = \sin x$

Multiple Choice

Find all solutions of the following equation in the interval [0,2π) .​ $\sin ^ { 3 } x = \sin x$ ​

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