Lesson 3
1. Lesson 3
1.7. Explore 6
Module 6: Sinusoidal Functions
In Try This 3, you may have noticed that the questions could be answered by interpreting the parameters a, b, c, and d and solving the equation or the questions could be answered by graphing the equation and interpreting the graph.
The term sinusoid was first used by Scotsman Stuart Kenny in 1789 while he was observing the growth and harvest of soybeans.
Read both solutions for “Example 4” on pages 524 to 526 of your textbook to see how the equation and the graph of the sinusoidal function can be used to solve a problem. As you read through the example, pay attention to how the parameters are given meaning. Compare these meanings to the meanings you gave the parameters in Try This 3.
Self-Check 4
Complete questions 16, 18, and 20 on pages 530 and 531 of your textbook. Answer
Add the following terms to your copy of Glossary Terms:
- standard form of sinusoidal function
- parameter
- variable
Add the following to your copy of Formula Sheet:
- y = a sin b(x − c) + d
- y = a cos b(x − c) + d
- maximum value = d + a
- minimum value = d − a
