SOLUTION: Solve the given equation. 3tan^3(x)=tan(x)

Algebra ->  Trigonometry-basics -> SOLUTION: Solve the given equation. 3tan^3(x)=tan(x)      Log On


   

Question 1032254: Solve the given equation.
3tan^3(x)=tan(x)
Answer by ikleyn(52792) About Me  (Show Source):
You can put this solution on YOUR website!
.
Solve the given equation.
3tan^3(x)=tan(x)
~~~~~~~~~~~~~~~~~~~~~~~ 

This equation comes apart in two equations:

1.  tan(x) = 0  with solutions  x = k%2Api,  k = 0, +/-1, +/-2, . . . 

    and

2.  3%2Atan%5E2%28x%29 = 1  --->  tan(x) = +/- 1%2Fsqrt%283%29  with solutions   x = +/- pi%2F6 + k%2Api,  k = 0, +/-1, +/-2, . . .