Find all of the exact solutions to the following equation Us

Find all of the exact solutions to the following equation. (Use the parameter k as necessary to represent any integer. Enter your answers as a comma-separated list.) cot(2x) = -squareroot 3/3 x = List those solutions which are in the interval [0, 2 pi). (Enter your answers as a comma-separated list.) x =

Solution

cot(2x) = -sqrt(3) /3

cot(2x) =-1/sqrt(3)

2x = 2pi/3 or 5pi/3

x = 2pi/6 or 5pi/6