Worksheet: The Graphs of Reciprocal Trigonometric Functions
In this worksheet, we will practice graphing cosecant, secant, and cotangent functions by understanding that they are related to the graphs of the sine, cosine, and tangent functions.
Q2:
Consider the graph of , as shown in the figure. We are going to use the graph to help us identify some key features of the graph of .
Use the fact that to determine whether each of the points , , , and will represent the position of an asymptote, a local maximum, or a local minimum on the graph of .
- AAsymptote: and , local maximum: , local minimum:
- BAsymptote: and , local maximum: , local minimum:
- CAsymptote: and , local maximum: , local minimum:
- DAsymptote: and , local maximum: , local minimum:
- EAsymptote: and , local maximum: , local minimum:
Identify which of the following is the graph of .
- A
- B
- C
- D
- E