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

Jun 2, 2018

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 $\theta = 0 , \pi , 2 \pi , \ldots .$

Therefore,
Domain: all reals except when $\theta = \pm n \pi$ where n is for all integers
Range: all reals y