1. Lesson 3

1.6. Explore 5

Mathematics 30-2 Module 6

Module 6: Sinusoidal Functions

 

When a sinusoidal function is used to model a situation, the parameters a, b, c, and d can be interpreted to provide information about the model. In Try This 3, you will determine information about a scenario by interpreting the equation of a sinusoidal function.

 

Try This 3

 

The height of a swing over time can be modelled by the function , where h is the height in centimetres above the ground and t is the time in seconds.

  1.  
    1. What is the highest point the girl in the photo will reach?
    2. Determine the height of the girl at 3.5 s and at 8.0 s.
  2.  
    1. In terms of the movement of the swing, explain what the 65 represents.
    2. Explain what the 15 represents in terms of the movement of the swing.
  3. Suppose the girl in the photo is at the highest point. How long will it take her to reach that point again?

    This is a photo of a girl on a swing.
    Ingram Publishing/Thinkstock

course folder Save your responses in your course folder.

 



How can you use the graph of the equation to determine time between consecutive maximums? Will she be at the same position at consecutive maximums?
The 65 is the parameter _____. This refers to ______ in the graph of a cosine function. How can this attribute of the graph be interpreted in this context?
Substitute these values for t to determine this. Make sure your calculator is in radians.
The highest point corresponds to the maximum on the graph of the function.