tan2x-cotx=0?

Question

what are the values of x?
thank u!

Answer 1

tan 2x =2tanx /(1-tan^2 x) =1/tan x so
2 tan^2x =1-tan^2x
3 tan^2x=1 and tan x= +-sqrt3/3
x=pi/6 +kpi
x= 5pi/6+kpi

Answer 2

7 and 2.