html5-img
1 / 10

Trigonometric Functions: The Unit Circle

Trigonometric Functions: The Unit Circle. Objectives: Identify a unit circle Evaluate trigonometric functions using the unit circle and a calculator. The Unit Circle . The Unit Circle.

meghan
Download Presentation

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. Trigonometric Functions: The Unit Circle Objectives: Identify a unit circle Evaluate trigonometric functions using the unit circle and a calculator

  2. The Unit Circle

  3. The Unit Circle • As the real number line wraps around the unit circle, each real number corresponds to a point on the circle. For example, the real number corresponds to the point . • In general, each real number corresponds to a central angle (in standard position) whose radian measure is • It follows that the coordinates are two functions of the real variable .

  4. Definitions of Trigonometric functions • Let be a real number and let be the point on the unit circle corresponding to .

  5. EX: Evaluate the six trigonometric functions at each real number • 1. • 2.

  6. EX: Evaluate the six trigonometric functions at each real number • 3. • 4.

  7. EX: Evaluate the six trigonometric functions at each real number • 5. • 6.

  8. EX: Evaluate the six trigonometric functions at each real number • 7. • 8.

  9. Evaluating trigonometric function • When evaluating a trigonometric function with a calculator, you need to set the calculator to the desired mode of measurement (degree or radian). Most calculators do not have keys for cosecant, secant, and cotangent functions. To evaluate these functions, you can use the reciprocal key with their respective reciprocal functions: sine, cosine and tangent. Round the answers to four decimal places.

  10. EX: Use a calculator to evaluate the trigonometric function. Degrees Radians • 9. • 10. • 11. • 12. • 13. • 14.

More Related