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

question 29

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)​ \(0 , \pi , \frac { \pi } { 6 } , \frac { 5 \pi } { 6 } , \frac { \pi } { 6 } , \frac { 13 \pi } { 6 }\)

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