Answer:
The function is undefined whenever
x=2πn and x=π+2πn where n is an integer.
Explanation:
Cot(x) = cos(x) / sin(x)
Since a/0 is undefined for each and every value of a, we want to find the points were sin(x) = 0.
Sin(x) = 0
x = sin-1(0)
x = 0, π
Since trig functions are periodic, that's to say
they go to infinity in both directions, we want to
find a general form solution.
The period of sin(x) is 2π
x=2πn and π+2πn , where n is an integer.