Discover

 

Try This 1

1. Use technology to plot the curve y = cos θ over the domain −2π ≤ θ ≤ 2π. Make a sketch of this function.
2. Use technology to plot the curve y = sin θ cot θ over the domain −2π ≤ θ ≤ 2π. Make a sketch of this function.
3. What do you notice about the two graphs?
4. Although the graphs appear similar, they are not exactly the same. Complete sin θ cot θ Table to determine the difference. Multiply sin θ by cot θ to determine sin θ cot θ in the table.

Save your answers in your course folder.

 

Share 1

 

With a partner or group, discuss the following questions based on the information in Try This 1.

1. When is the statement cos θ = sin θ cot θ true?
2. Predict all real values of θ for which the statement cos θ = sin θ cot θ is false.
3. When they are defined, are cos θ and sin θ cot θ ever unequal?

If required, save a record of your discussion in your course folder.