Hello, I am looking at this trig equation: tan^2(3x) = 1 (for values of x greater than or equal to zero and less than or equal to 2pi)

I can understand how to solve it almost right to the end.

I can get to the point where I have tan3x=1 and tan3x = -1. I then get +- 45 degrees. I know I need to divide that by 3, so I end up with 15 degrees.

I know the final answer is:

+-pi/12 + pi/3(k)

But I dont understand this answer.

The problem I am having is plotting those points on a tan graph.

Could someone please tell me the exact values that the answer above represents and where they sit on the tan graph.

Then I can visualize it and understand better.

Thanks kindly for any help.