Question

Find the general solution of tan 3x = 3 tanx

Answer 1

@experimentX

Answer 2

tan 3x = ? ... expand this, solve the cubic or quartic equation for tan

Answer 3

Let me try by that way

Answer 4

\[\tan 3x = \frac{ 3tanx - \tan^3 x }{ 1-3\tan^2x }\]

Answer 5

\[\frac{ 3\tan - \tan^3 x }{ 1-3 \tan^2 x } = 3tanx\]

\[\tan^3 x = 9\tan^3 x\]

Answer 6

wolf says solution is n(pi)
http://www.wolframalpha.com/input/?i=tan%283x%29+%3D+3+tan%28x%29

Answer 7

But hw...???

Answer 8

must be quartic in tan(x)

Answer 9

Nope...!

Answer 10

8 tan^3 x= 0
tan x = 0

Answer 11

tan(3x) = should have cubic ... you have only square ( quadratic)

Answer 12

tan x=0 only at n*pi