1 / 8

Trig Functions of Any Angle

Trig Functions of Any Angle. Lesson 2.3. θ. r. Angles Beyond 90 °. Expand from the context of angles of a right triangle Consider a ray from the origin through a given point (x, y). (x, y). •. β. Reference Triangle. Drop a perpendicular from (x,y) to the x-axis

paul
Download Presentation

Trig Functions of Any Angle

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. Trig Functions of Any Angle Lesson 2.3

  2. θ r Angles Beyond 90° • Expand from the context of angles of a right triangle • Consider a ray from the origin through a given point (x, y) (x, y) •

  3. β Reference Triangle • Drop a perpendicular from (x,y) to the x-axis • This forms a reference triangle θ (x, y) Click to view spreadsheet example •

  4. Angles in Different Quadrants • Note that x and y have different signs in the various quadrants • Thus the trig functions will have different signs for the quadrants • For each quadrant, determine the signof the functions • I • II • IIIIV θ (x, y) •

  5. Angles in Different Quadrants • Remember "allsintancos" I II all positive sin is positive cos is positive tan is positive IV III

  6. Standard Angles • Recall table of functions of basic angles • Now we can expand this table

  7. 120° almost 90° 135° 150° 180° Standard Angles

  8. Assignment • Lesson 2.3 • Page 154 • Exercises 1 – 71 Odd

More Related