Q. 8 - Precalculus Enhanced with Graphing Utilities

Question

What is the y-intercept of $y=cotx$?

Step-by-Step Solution

Answer

The function $y=cotx$ has no y-intercept.

Step 1. Given Information

The given function is $y=cotx.$

We have to find the y-intercept.

Step 2. Finding the y- intercept

To find the y-intercept, substitute $0$ for x in a given function.

So,

$$\begin{gathered} y=cotx \\ y=\frac{\cos x}{\sin x} \\ y=\frac{\cos \left(0\right)}{\sin \left(0\right)} \\ y=\frac{1}{0} \end{gathered}$$

Thus, the function has no y-intercept.