1. Copyright © 2011 Pearson, Inc. 5.1 Fundamental Identities

2. Copyright © 2011 Pearson, Inc. Slide 5.1 - 2 What you’ll learn about Identities Basic Trigonometric Identities Pythagorean Identities Cofunction Identities Odd-Even Identities Simplifying Trigonometric Expressions Solving Trigonometric Equations … and why Identities are important when working with trigonometric functions in calculus.

3. Copyright © 2011 Pearson, Inc. Slide 5.1 - 3 Basic Trigonometric Identities

4. Copyright © 2011 Pearson, Inc. Slide 5.1 - 4 Pythagorean Identities

5. Copyright © 2011 Pearson, Inc. Slide 5.1 - 5 Example Using Identities

6. Copyright © 2011 Pearson, Inc. Slide 5.1 - 6 Example Using Identities

7. Copyright © 2011 Pearson, Inc. Slide 5.1 - 7 Cofunction Identities

8. Copyright © 2011 Pearson, Inc. Slide 5.1 - 8 Cofunction Identities

9. Copyright © 2011 Pearson, Inc. Slide 5.1 - 9 Even-Odd Identities

10. Copyright © 2011 Pearson, Inc. Slide 5.1 - 10 Example Simplifying by Factoring and Using Identities

11. Copyright © 2011 Pearson, Inc. Slide 5.1 - 11 Example Simplifying by Factoring and Using Identities

12. Copyright © 2011 Pearson, Inc. Slide 5.1 - 12 Example Simplifying by Expanding and Using Identities

13. Copyright © 2011 Pearson, Inc. Slide 5.1 - 13 Example Simplifying by Expanding and Using Identities

14. Copyright © 2011 Pearson, Inc. Slide 5.1 - 14 Example Solving a Trigonometric Equation

15. Copyright © 2011 Pearson, Inc. Slide 5.1 - 15 Example Solving a Trigonometric Equation