1 / 23

Angles and Degree Measure

Angles and Degree Measure. Section 12-1 Pages 549-554. Angles and Degree Measure. Trigonometry Literally means “triangle measurement” Used in surveying, navigation, architecture, etc. For the next few months we will be working with mainly triangles. Angles and Degree Measure.

cairo-goodwin
Télécharger la présentation

Angles and Degree Measure

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. Angles and Degree Measure Section 12-1 Pages 549-554

  2. Angles and Degree Measure • Trigonometry • Literally means “triangle measurement” • Used in surveying, navigation, architecture, etc. • For the next few months we will be working with mainly triangles

  3. Angles and Degree Measure • Angle measurements • Given in degrees • One degree (1°) is of a complete rotation • In trigonometry, you work with angles greater than 180° as well as negative angles (< 0°)

  4. Angles and Degree Measure Positive Angles Negative Angles Move Clockwise • Move counterclockwise Terminal Side Terminal Side Initial Side Initial Side

  5. Angles and Degree Measure • An angle in standard position: • Initial Side on the x-axis • Vertex is at the origin • First quadrant angle: II I III IV

  6. Angles and Degree Measure • An angle in standard position: • Initial Side on the x-axis • Vertex is at the origin • Second quadrant angle: II I III IV

  7. Angles and Degree Measure • An angle in standard position: • Initial Side on the x-axis • Vertex is at the origin • Third quadrant angle: II I III IV

  8. Angles and Degree Measure • An angle in standard position: • Initial Side on the x-axis • Vertex is at the origin • Fourth quadrant angle: II I III IV

  9. Angles and Degree Measure • There are also an infinite number of quadrantal angles • Angles whose terminal side lies on a set of axis II I III IV

  10. Angles and Degree Measure • There are also an infinite number of quadrantal angles • Angles whose terminal side lies on a set of axis II I III IV

  11. Angles and Degree Measure • Coterminal angles • Two angles that have the same: • Initial Side • Terminal Side • Vertex • What other coterminal angles does 150° have? 150° -210°

  12. Angles and Degree Measure • Write a formula for the measures of all the angles coterminal with a 30° angle. 30°

  13. Angles and Degree Measure • Write a formula for the measures of all the angles coterminal with a 270° angle. 270°

  14. Angles and Degree Measure Section 12-1 Pages 549-554

  15. Angles and Degree Measure • Minutes and Seconds • Measure angles more precisely • Similar to decimal degrees • 1 minute (1') is of 1° • 1 second (1'') is of 1' = of 1°

  16. Angles and Degree Measure • Express 14°36'54'' in degrees:

  17. Angles and Degree Measure • Express 72.568° in degrees, minutes, and seconds. (.568 x 60)' 34' +(.08 x 60)'' 34' 5''

  18. Angles and Degree Measure • Try the following: • Express 64°9‘36'' as a decimal • Express 53.721° in degrees, minutes, & seconds 43' 16''

  19. Angles and Degree Measure • Oral Exercises • Page 551

  20. Angles and Degree Measure • Find a first quadrant angle θ for which an angle four times as large will be in the second quadrant.

  21. Angles and Degree Measure • Find a first quadrant angle θ for which an angle six times as large is in the third quadrant.

  22. Angles and Degree Measure • Today: • Angles in standard position • Coterminal angles • Converting between degrees and degrees, minutes, & seconds

  23. Angles and Degree Measure • Written Exercises • 31-45 odd and 55 - 65(page 552)

More Related