Periodic Functions

The below is the graph of the cot function and a right triangle:

    

cot D = adjacent side/opposite side The question to ask is does the opposite side become zero in the above triangle as the angle increases or decreases?
If so then the cotangent has asymptotes at those measurements. Remember the above graphs are in radian measure.

In the above triangle as ∠ D goes to zero what happens to the length of side A? It goes to zero.
Hence the cot graph has an asymptote at 0⁰
What happens as ∠ D goes to 180⁰?

What happens to side B as ∠ D goes to 90⁰ ? Does B equal zero? If so then the cot graph will intercept the x axis.

What happens at 180⁰, 270⁰ and 360⁰ ?

answers

on to the graph of the csc

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