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Yahoo!
 2 years ago
Find the general solution of tan 3x = 3 tanx
Yahoo!
 2 years ago
Find the general solution of tan 3x = 3 tanx

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experimentX
 2 years ago
Best ResponseYou've already chosen the best response.1tan 3x = ? ... expand this, solve the cubic or quartic equation for tan

Yahoo!
 2 years ago
Best ResponseYou've already chosen the best response.0\[\tan 3x = \frac{ 3tanx  \tan^3 x }{ 13\tan^2x }\]

Yahoo!
 2 years ago
Best ResponseYou've already chosen the best response.0\[\frac{ 3\tan  \tan^3 x }{ 13 \tan^2 x } = 3tanx\] \[\tan^3 x = 9\tan^3 x\]

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.1wolf says solution is n(pi) http://www.wolframalpha.com/input/?i=tan%283x%29+%3D+3+tan%28x%29

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.1must be quartic in tan(x)

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.1tan(3x) = should have cubic ... you have only square ( quadratic)

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1352989835689:dw

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.1thats what he used.... tan^3 = 9 tan^3 so, 8tan^3= 0 > tan x=0 which is true only for x=n*pi

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1352990051780:dw
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