1 / 15

Understanding Angles and Trigonometric Functions in Coordinate Geometry

This lesson delves into the foundational concepts of angles, including definitions and measuring techniques. Key terms such as initial side, terminal side, standard position, degrees, minutes, and seconds will be explored. The lesson highlights the significance of coterminal angles and the definitions of the six trigonometric functions. Practical examples illustrate how to convert angles between different formats and calculate angles based on rotations. This understanding is essential for further studies in trigonometry and geometry, laying the groundwork for complex calculations.

brie
Télécharger la présentation

Understanding Angles and Trigonometric Functions in Coordinate Geometry

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. Chapter 5Lesson 1 Tori Campbell Heather Wilkerson Sarah Bomar

  2. Terms to Know • Angle- generated by rotating one of two rays that share a fixed endpoint called a vertex. • Initial side- the fixed side of the angle. • Terminal side- the rotating side of the angle. • Standard Position- an angle with it’s vertex at the origin and it’s initial side along the positive x-axis

  3. Terms Cont… • Degree- the unit used to measure angles • Minutes- the 60 equal parts of the degree subdivision • Seconds- the 60 equal parts of the Minutes subdivision

  4. The Four Quadrants

  5. Coterminal Angles

  6. Definition of the Six Trig Functions

  7. Example 1: Las Vegas, Nevada, is located at about 36.175° north latitude. Change to 36.175° to degrees, minutes, and seconds.

  8. Answer: 1 36.175°= 36° + (0.175  60) = 36° + 10.5’ = 61° + 10 + (0.5  60) = 61° + 10 + 30  36.175° can be written as 60° 10 30.

  9. Example 2: Las Vegas is also located at 115° 8 11 west longitude. Write 115 ° 8 11 as a decimal rounded to the nearest thousandth.

  10. Answer 2: 115 ° 8 11”= 115° + 8 1/60 + 111 1/3600 about 115.136° 115 ° 8 11 can be written as 115.136°.

  11. Example 3: Give the angle measure represented by each rotation. 3.75 rotations clockwise

  12. Answer 3: 3.75  (-360) = -1350 The angle measure of 3.75 clockwise rotations is -1350°

  13. Example 4: 4.2 rotations counterclockwise

  14. Answer 4: 4.2  360 = 1512 The angle measure of 4.2 counterclockwise rotations is 1512°.

  15. ??Questions??

More Related