Interact with this resource for a minute or two. Then answer the questions that follow.
Why does the [b][color=#980000]brown[/color][/b][color=#980000][b] arrow[/b][/color] represent the value of the [color=#980000][b]cotangent[/b] [/color]of the angle? How do you know this?
If we kept going around the circle (past [math]\theta=\pi[/math] ), what would the graph look like (on the right) to the right of the vertical line [math]x=\pi[/math]?
Why are there vertical asymptotes at [math]x=0[/math] and [math]x=\pi[/math] ? Are there other asymptotes for the function [math]y=\cot\left(x\right)[/math]? If so, how would you describe where they are?