1 / 9

6-5 Inverse Trig

6-5 Inverse Trig. An Inverse Function What was that again?. Get out those Calculators. Please find the following: sin -1 0 6. cos -1 0 sin -1 .5 7. cos -1 .5 sin -1 1 8. cos -1 1

kylynn-chen
Download Presentation

6-5 Inverse Trig

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. 6-5 Inverse Trig An Inverse Function What was that again?

  2. Get out those Calculators Please find the following: • sin-10 6. cos-10 • sin-1.5 7. cos-1.5 • sin-11 8. cos-11 • sin-1(-.5) 9. cos-1(-.5) • sin-1(-1) 10. cos-1(-1)

  3. What is an inverse function? What is the notation? Arc = “-1” In a way, you have been practicing the inverse trig process. In section 7-6, you had the trig value and found the angle.

  4. f(x) = sin x its inverse would be What is the problem here? The inverse ISN’T a function!!

  5. How do we take care of that? Lets look at the graphs: Therefore, there are limits on the answers that you can get. Use your calculator to find cos-1(-.5) What did you see?

  6. Each function has a limited Range For sin-1x, csc-1x, tan-1x QI or QIV (go clockwise!) For cos-1x, sec-1x, cot-1x QI or QII

  7. REMEMBER With inverse trig you give only ONE answer!! The answer must be the closest answer to 0. An answer in quadrant 4 such as 300 must be given as -60. BE Careful!!

  8. A Hint To give yourself something to remember, use the phrase “What angle has a” for the symbol -1. SO, lets try some problems.

More Related