1 / 18
Télécharger la présentation

Trigonometric Sum and Difference Identities

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. 5.3 Demana, Waits, Foley, Kennedy Sum and Difference Identities

  2. What you’ll learn about • Cosine of a Difference • Cosine of a Sum • Sine of a Difference or Sum • Tangent of a Difference or Sum • Verifying a Sinusoid Algebraically … and why These identities provide clear examples of how different the algebra of functions can be from the algebra of real numbers.

  3. Does the Distributive Law Apply?

  4. Cosine of a Sum or Difference

  5. Example: Using the Cosine-of-a-Difference Identity

  6. Solution

  7. Sine of a Sum or Difference

  8. Example: Using the Sum and Difference Formulas

  9. Solution

  10. Prove the Cofunction Identities

  11. Tangent of a Difference of Sum Why would we need two different versions for the same thing ?

  12. Show that

  13. Example: Expressing a Sum of Sinusoids as a Sinusoid

  14. Solution

  15. Solution

  16. Solution

  17. Solution

  18. Solution

More Related