1 / 8

8.6 Trigonometric Equations

Solve trigonometric equations involving specific angles and generalize solutions for unrestricted cases. Identify factors, write in terms of trigonometric functions, and solve for angles within set ranges. Divide by revolutions to find solutions.

mremington
Download Presentation

8.6 Trigonometric Equations

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. 8.6 Trigonometric Equations Today’s Date: 5/2/17

  2. Ex 1) Solve Treat the same as:

  3. Ex 1) Solve 60 120 If NOT restricted to 0  θ 360°then need to generalize: • = 60 + n∙360 • = 120 + n∙360 • n is any integer

  4. Ex 2) Solve Looks like: restricted! don’t have to generalize So, factor it: Set each factor = 0

  5. Ex 3) Solve restricted! don’t have to generalize Looks like: 90 150 30 270

  6. Ex 4) Solve Write in terms of same trig function: Looks like: 

  7. Ex 5) Solve So, (3 revolutions) 1st rev: 2nd rev: 3rd rev: So, we have: Divide by 3:

  8. Homework #814 Pg. 522 1 – 53 EOO, skip 13, 17

More Related