1. Ch. 6: Trig Functions of Angles James Michel Matthis Feischen Boris Krassovski

2. Sectors/ Arcs ArcSector

3. Sector- portion of a circle bounded by two radii and the included arc Formula for area of a sector: Formula for area of a sector: A= area of sector A= area of sector r= radius of circle r= radius of circle = central angle in radians = central angle in radians

4. Example On Coach Flatau’s Computer On Coach Flatau’s Computer

5. Arc- a segment of a circle Formula for the length of a circular arc: Formula for the length of a circular arc: s= arc length s= arc length r= radius of circle r= radius of circle = central angle in radians = central angle in radians

6. Circular Motion

7. Circular Motion- motion of an object that moves at a fixed distance from a point Angular Speed: Angular Speed: Linear Speed: Linear Speed: = radians traversed = radians traversed s= feet traversed s= feet traversed t= time t= time

8. Relating the Two Speeds

9. Example On Coach Flatau’s Computer On Coach Flatau’s Computer

10. Right Triangles

11. Right Triangle- triangle with a 90° angle All are in relation to the positioning of angle

12. Example Using Trigonometric Ratios of Right Triangles On Coach Flatau’s Computer On Coach Flatau’s Computer

13. Law of Sines

14. Example On Coach Flatau’s Computer On Coach Flatau’s Computer

15. Law of Cosines