Find All Solutions of the Following Equation in the Interval $15 \tan ^ { 3 } x = 5 \tan x$

Multiple Choice

Find all solutions of the following equation in the interval [0,2π) .​ $15 \tan ^ { 3 } x = 5 \tan x$ ​

A) ​ $0 , \pi , \frac { \pi } { 6 } , \frac { n \pi } { 6 } , \frac { 2 n \pi } { 6 } , \frac { 3 n \pi } { 6 }$
B) ​ $0 , \pi , \frac { \pi } { 6 } , \frac { 3 \pi } { 6 } , \frac { 5 \pi } { 6 } , \frac { 7 \pi } { 6 }$
C) ​ $0 , \pi , \frac { \pi } { 6 } , \frac { 5 \pi } { 6 } , \frac { 7 \pi } { 6 } , \frac { 11 \pi } { 6 }$
D) ​ $0 , \pi , \frac { \pi } { 6 } , \frac { 2 \pi } { 6 } , \frac { 3 \pi } { 6 } , \frac { 11 \pi } { 6 }$
E) ​ $0 , \pi , \frac { \pi } { 6 } , \frac { 5 \pi } { 6 } , \frac { \pi } { 6 } , \frac { 13 \pi } { 6 }$