
Here is the graph of y=tan x. Note that there are vertical asymptotes where the denominator of tan x equals 0. So when cos x=0.

Graph of the Cotangent Function

Here is the graph of y=cot x. We now must consider where sin x equals zero because this is where you will put the vertical asymptotes.

Graph of the Reciprocal Functions (y= sec x)

First of all, here is the graph of y=cos x.

-Using reciprocal identities, we can draw y=sec x.

Graph of the reciprocal Functions (y=csc x)


The graph in purple is y=csc x. The graph in red is y=sin x.

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