SOLUTION: Solve for x: (tanx+tan pi/3)/(1-tanx tan pi/3) = root 3

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Question 1081333: Solve for x: (tanx+tan pi/3)/(1-tanx tan pi/3) = root 3
Answer by htmentor(1343) About Me  (Show Source):
You can put this solution on YOUR website!
Using the trig identity tan(x+pi/3) = (tan(x)+tan(pi/3))/(1-tan(x)tan(pi/3)), we need to solve tan(x+pi/3) = sqrt(3) for x
atan(sqrt(3)) = pi/3, pi/3 + pi, pi/3 + 2pi, ...
Therefore x+pi/3 = pi/3 -> x = 0 or any multiple of pi