Solve, tan x + tan 2x + tan 3x = tan x tan 2x tan 3x?


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Oddman Profile
Oddman answered
A graph of the left and right sides of the equation quickly reveals the solutions to be
  x = {0, ±π/3, ±2π/3}
The curves both go to infinity at other values (±π/6, ±π/4, ±π/2), but the values cannot be considered to be equal at those points.
See also this solution.
Only the range 0..π/2 is shown here. The graph is odd-function symmetrical around 0 and π/2.

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