Question

Find all solutions in the interval [0, 2pi)

7tan^3x -21tan x=0

Answer 1

You can make a substitution: let y=tan(x), then solve

\(\large 7y(y^2-3)=0.\)

Answer 2

thank you!

Answer 3

bear in mind all possible solutions

Answer 4

You're welcome.
You should get 4 solutions on that interval.

Answer 5

0, pi/3, pi, and 4pi/ 3?

Answer 6

That's what I got. I think that's right.

Answer 7

good