help pleaseeeee

Question

find the solution for X that are in the interval [0,2pi)

cot²x -1=0

Answer 1

add both sides by 2 and sq root both sides

cot x = ± 1

cot is -1 at ∏/4 and cot is 1 at 3∏/4

In the interval [0,2∏)

x = ∏/4, 3∏/4, 5∏/4, 7∏/4