1 / 9

1.4 Evaluating Trig Functions: Exact and Approximate Values

1.4 Evaluating Trig Functions: Exact and Approximate Values. JMerrill, 2009. Exact. Recall: 30 o -60 o -90 o Triangles Example on Board. Trig Values – See page 39. Approximate Values. sin 75 o ≈ 0.9659 tan 67 o ≈ 2.3559 sec 52 o ≈ 1.6247. Revolutions & Partial Degrees .

burke-osborne
Download Presentation

1.4 Evaluating Trig Functions: Exact and Approximate Values

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. 1.4 Evaluating Trig Functions:Exact and Approximate Values JMerrill, 2009

  2. Exact • Recall: 30o-60o-90o Triangles • Example on Board

  3. Trig Values – See page 39

  4. Approximate Values • sin 75o ≈ 0.9659 • tan 67o ≈ 2.3559 • sec 52o ≈ 1.6247

  5. Revolutions & Partial Degrees • A common unit for measuring very large angles is the revolution, a complete circular motion (360o). • A common unit for measuring smaller angles is the degree, of which there are 360 in one revolution. So, ¼ of a revolution is 90o. • Angles are more precisely measured by dividing 1 degree into 60 minutes and 1 minute into 60 seconds. This gives us very precise locations in any space (latitudes and longitudes). • Example: 25 degrees, 20 minutes, 6 seconds is written 25o20’6”

  6. Degrees Con’t • To do by hand: • 25o20’6” = • You try: • 43o28’12”= • Now, let’s look at these same 2 problems and do them on the calculator. You will use the Angle menu (2nd apps).

  7. Add/Subtract in DMS • 35o21’42” • + 7o 5’30” • 42o26’72” which changes to 42o27’12”

  8. Converting to DD • Convert 17o39’22” to decimal degrees. Round to the nearest thousandth • 17.656o

  9. Evaluate • sin (18o10’) • ≈ .3118 • sec (20.524o) • ≈1.149

More Related