1. Copyright © 2011 Pearson, Inc. 4.6 Graphs of Composite Trigonometric Functions

2. Copyright © 2011 Pearson, Inc. Slide 4.6 - 2 What you’ll learn about Combining Trigonometric and Algebraic Functions Sums and Differences of Sinusoids Damped Oscillation … and why Function composition extends our ability to model periodic phenomena like heartbeats and sound waves.

3. Copyright © 2011 Pearson, Inc. Slide 4.6 - 3 Example Combining the Cosine Function with x 2

4. Copyright © 2011 Pearson, Inc. Slide 4.6 - 4 Example Combining the Cosine Function with x 2

5. Copyright © 2011 Pearson, Inc. Slide 4.6 - 5 Example Combining the Cosine Function with x 2

6. Copyright © 2011 Pearson, Inc. Slide 4.6 - 6 Example Combining the Cosine Function with x 2

7. Copyright © 2011 Pearson, Inc. Slide 4.6 - 7 Example Adding a Sinusoid to a Linear Function

8. Copyright © 2011 Pearson, Inc. Slide 4.6 - 8 Example Adding a Sinusoid to a Linear Function

9. Copyright © 2011 Pearson, Inc. Slide 4.6 - 9 Sums That Are Sinusoids Functions

10. Copyright © 2011 Pearson, Inc. Slide 4.6 - 10 Example Identifying a Sinusoid

11. Copyright © 2011 Pearson, Inc. Slide 4.6 - 11 Example Identifying a Sinusoid

12. Copyright © 2011 Pearson, Inc. Slide 4.6 - 12 Example Identifying a Sinusoid

13. Copyright © 2011 Pearson, Inc. Slide 4.6 - 13 Example Identifying a Sinusoid

14. Copyright © 2011 Pearson, Inc. Slide 4.6 - 14 Damped Oscillation

15. Copyright © 2011 Pearson, Inc. Slide 4.6 - 15 Quick Review

16. Copyright © 2011 Pearson, Inc. Slide 4.6 - 16 Quick Review Solutions