1 / 12

Section 4.2 Trigonometric Functions: The Unit Circle

Section 4.2 Trigonometric Functions: The Unit Circle. What you should learn:. • Identify a unit circle and describe its relationship to real numbers. • Evaluate trigonometric functions using the unit circle. • Use the domain and period to evaluate sine and cosine functions.

edena
Télécharger la présentation

Section 4.2 Trigonometric Functions: The Unit Circle

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. Section 4.2 Trigonometric Functions: The Unit Circle

  2. What you should learn: • Identify a unit circle and describe its relationship to real numbers. • Evaluate trigonometric functions using the unit circle. • Use the domain and period to evaluate sine and cosine functions. • Use a calculator to evaluate trigonometric functions.

  3. Unit Circle

  4. Definitions of Trigonometric Functions Let t be a real number and let (x, y) be a point on the unit circle corresponding to t. sin t = y cos t = x tan t = y/x, x ≠ o cot t = x/y, y ≠ o sec t = 1/x, x ≠ o csc t = 1/y, y ≠ o

  5. Example 1: Evaluating Trigonometric Functions.

  6. Example 2:Evaluating Trigonometric Functions. Evaluate the six trigonometric functions for

  7. Domain and Period of Sine and Cosine The domain of the sine and cosine functions is the set of real numbers. The range of the functions is from -1 to 1.

  8. Definition of Periodic Function A function f is periodic if there exists a positive real number c such that f( t + c) = f(t) for all t in the domain of f.

  9. Odd Functions Even Functions cos (-t) = cos (t) sec (-t) = sec (t) sin (-t) = -sin (t) tan (-t) = -tan (t) csc (-t) = -csc (t) cot (-t) = -cot (t)

  10. Evaluating Trigonometric Functions with a Calculator (Mode -> Radians)

More Related