1 / 10

Simple Trig Identities

Simple Trig Identities. Definition of An Identity. Any equation that is true for every number in the domain of the equation. Example 2x + 12 = 2(x + 6) Trig identities Pythagorean Identities Reciprocal identities Ratio identities. Pythagorean Identities. 90º. (x,y). r. y. θ. 0º.

adele-prince
Download Presentation

Simple Trig 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. Simple Trig Identities

  2. Definition of An Identity • Any equation that is true for every number in the domain of the equation. • Example • 2x + 12 = 2(x + 6) • Trig identities • Pythagorean Identities • Reciprocal identities • Ratio identities

  3. Pythagorean Identities 90º (x,y) r y θ 0º • Consider that • then 180º x 360º 270º

  4. Ratio Identities • Since we know that and

  5. Working with Identities • Start with one side and turn it into the other • If you get stuck work on the other side and see if you can make them the same

  6. Example • Prove

  7. Working with Identities • Tips • In an expression, look for a part of the expression that looks like part of one of the identities • Substitute that in • Look for factors to cancel • Look for terms of an expression that can be combined to form one of the identities • Also possible to look at identities in different forms

  8. Example • Prove

  9. Example • Prove

  10. Your turn • Prove

More Related