Hello M.H.F.

I am looking for suggestions on how to solve this Tangent Equation:

tan(x) = -sqrt(3) for [0,2pi]

I can solve this using my graphing calculator by graphing y1 = tan(x) and y2 = -sqrt(3) and using the intersect function to get my answers of 2pi/3 and 5pi/3.

I am really interested to see how I would go about solving this mathematically without graphing. Please advise or show any techniques that you find appropriate.

Thanks,

Jack Daniels