Question

How do you find the domain & range for `cot theta`?

Answer 1

Below

Explanation:

First, draw the graph `cot theta`

graph{1/tanx [-10, 10, -5, 5]}

From the graph, you will notice that there are asymptotes occurring when `theta = 0, pi, 2pi, ....`

Therefore,
Domain: all reals except when `theta = +-npi` where n is for all integers
Range: all reals y