1 / 21

Trigonometric Substitution Methods for Simplifying Radicals

Learn how to eliminate radicals using trigonometric substitutions. Explore examples and tables of effective substitutions based on trigonometric identities.

mrinaldi
Download Presentation

Trigonometric Substitution Methods for Simplifying Radicals

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. TRIGONOMETRIC SUBSTITUTION

  2. TRIGONOMETRIC SUBSTITUTION NOTE: We convert the radical into a cos function

  3. TRIGONOMETRIC SUBSTITUTION

  4. TRIGONOMETRIC SUBSTITUTION Example Example Find Find Example Find The main idea is how to get rid of the radicals. ( use trig. Substitution)

  5. TRIGONOMETRIC SUBSTITUTION

  6. TRIGONOMETRIC SUBSTITUTION Example Find In the following table we list trigonometric substitutions that are effective for the given radical expressions because of the specified trigonometric identities.

  7. TRIGONOMETRIC SUBSTITUTION Example Find In the following table we list trigonometric substitutions that are effective for the given radical expressions because of the specified trigonometric identities.

  8. TRIGONOMETRIC SUBSTITUTION Example Find

  9. TRIGONOMETRIC SUBSTITUTION Example Find

  10. TRIGONOMETRIC SUBSTITUTION EXAM-2 Term-092

  11. TRIGONOMETRIC SUBSTITUTION Example Find

  12. TRIGONOMETRIC SUBSTITUTION EXAM-2 Term-102

  13. TRIGONOMETRIC SUBSTITUTION Example Find hyperbolic substitutions can be used in place of trigonometric substitutions and sometimes they lead to simpler answers. But we usually use trigonometric substitutions because trigonometric identities are more familiar than hyperbolic identities.

  14. TRIGONOMETRIC SUBSTITUTION Example Find

More Related