Question

tan2x-cotx=0 (solve)

Answer 1

$\tan(2x) = \cot(x) \\ \cot( \frac{\pi}{2} - 2x ) = \cot(x) \\ \frac{\pi}{x} - 2x = x \\ 3x = \frac{\pi}{2} \\ x = \frac{\pi}{6}$