Solve tan2x = -cot (x + pie/3)
\(tan(2x) = -cot(x + \frac{\pi}{3})\)\(tan(2x) = -cot(x + 60)\)\(2x + -(x + 60) = 90\)\(2x + (-x - 60) = 90\)\(2x - x - 60 = 90\)\(x - 60 = 90\)\(x = 150\)