Lesson 6
1. Lesson 6
1.5. Explore 4
Module 4: Foundations of Trigonometry
In Try This 4 you explored the relationship between a and the amplitude of the function, and the relationship between b and the period of the function.
You may have found that |a| = amplitude of the function and 
This means that period 
In this course, b-values will always be positive. However, the absolute-value signs are necessary for negative b-values. Think of why the absolute value is required.
Graphing the functions y = a sin(bx) and y = a cos(bx) can be completed in many ways. In Try This 4 you saw a relationship between the parameters a and b and the dimensions of the graph. You can also use technology, such as a graphing calculator, like you did with other functions. You could also use transformations or key points to graph these functions. Watch examples of these methods in Graphing Using Transformations and Graphing Using Key Points.
Self-Check 3
Complete questions 1, 4.a., 4.b., 6.a., 6.b., 7.a., 7.c., 8.a., 8.c., and 18 on pages 233 to 236 of the textbook. Answer
Add the following terms to your copy of Glossary Terms:
- periodic function
- period
- amplitude
Add the following formulas to your copy of Formula Sheet:
y = a sin(bx)
y = a cos(bx)
