Question

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

Short answer

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

Step-by-step solution

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 they-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 noy-intercept.