How can you display vertical asymptotes for secant and cosecant functions on Desmos?

Question

Say you have the following function:

f(x) = csc(x + π/6) + 2.

I understand how to sketch its graph, but if you use Desmos to graph this function (along with sin(x + π/6) + 2, how do you display the vertical asymptotes for the csc function.

A similar question for a secant function like:

f(x) = 2sec(πx/4 + π/4)

Answer 1

The cosecant graph used in the video:

desmos.com/calculator/izf5bwxxej

This graph shows an identical technique for a secant function.

desmos.com/calculator/stksrafsf6

For a secant function the idea is to determine when its corresponding cosine function is equal to zero. That will be at π/2 + kπ, k any integer.

Answer 2

Desmos Graphing Tips

Dashed Lines:

By default, graphs are a solid color. Click and hold on the “squiggly line” next to the graph. This will allow you to change the color or make the graph dashed instead of solid.

Element Lists:

Use square brackets to create a list. For example, "n=[-6,-4,...,6]" creates [-6] [-4] [-2] [0] [2] [4] [6] 7 elements