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Cotangent Function Exploration

Interact with this resource for a minute or two. Then answer the questions that follow.

1.

Why does the brown arrow represent the value of the cotangent of the angle? How do you know this?

2.

If we kept going around the circle (past ), what would the graph look like (on the right) to the right of the vertical line ?

3.

Why are there vertical asymptotes at and ? Are there other asymptotes for the function ? If so, how would you describe where they are?