### Video Transcript

Is the following statement possible or impossible? Cot of ๐ equals negative two.

This question is really asking, โIs negative two in the range of cotangent?โ Here is a graph of cot of ๐, and here is the line ๐ฆ equals negative two. Does cotangent exist at that point?

It does. In fact, what weโre seeing on this graph is that the range of cotangent is all real numbers. Cotangent can fall on the ๐ฆ-axis at all real numbers. We know that itโs possible for cotangent to be equal to negative two because the range of cotangent function is all real numbers.