SOLUTION: I need help solving the following question. 1. Solve the equation: tan3x=1

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Question 188358: I need help solving the following question.
1. Solve the equation:
tan3x=1
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
tan%283x%29=1 Start with the given equation.


3x=arctan%281%29 Take the arctangent of both sides (to eliminate the tangent on the left side)


3x=pi%2F4%2Bpi%2An Evaluate the arctangent of 1 to get pi%2F4 (use the unit circle). Remember to add pi%2An (to account for all of the solutions).

Note: n is an integer


x=%28pi%2F4%2Bpi%2An%29%2F3 Divide both sides by 3.


x=pi%2F12%2B%28pi%2An%29%2F3 Break up the fraction and simplify


So the solutions are x=pi%2F12%2B%28pi%2An%29%2F3 where "n" is an integer.