Find the gen soln for a)tanx+tan2x+tan3x=tanx.tan2x.tan3x

Asked by timesnow | 24th Nov, 2010, 10:02: PM

Expert Answer:

Dear student
Given: tanx+tan2x+tan3x=tanx.tan2x.tan3x
Also tan3x-tanx-tan2x=tanx.tan2x.tan3x
So tanx+tan2x+tan3x = tan3x-tanx-tan2x
i.e 2(tan x+tan 2x) = 0
or sin 3x =0
x= n/3 π

Answered by  | 26th Nov, 2010, 03:47: PM

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