How do you graph #y=secpix#?

Question

2377 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-10-24T03:55:44

#sec (pix) = 1/cos(pi x) #

To graph any inverse function like this it is often easier to graph the normal function lightly and then draw the inverse over the top.

so for this graph #cos(pi*x)#

which goes through the y-axis at (0,1) has min at (1,-1) and max at (2,1)

with a period of 2. giving you a graph like this,

graph{cos(pix) [-2, 2, -4, 4]}

now let's look at some of the features of the graph and decide what will happen when we do #1/f(x)#.

now we can do a rough sketch of what the graph will look like.

graph{1/(cos(pix)) [-2, 2, -4, 4]}

It is easier to see the relationship if you superimpose them on one another