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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