1. Trigonometry Review for AP Calculus AB Mr. Straight, Room 310

2. Rationale says: The All students should..

3. Rationale (cont.).. have studied trigonometry.. know the trig function values at and their multiples

4. Table of Contents 1)Radians, Degrees, and the Unit Circle (oh my!) 2)Finding trig function values 3)Trig function graphs click to choose!

5. Radians, Degrees, and the Unit Circle

6. Convert degrees to radians (gain π) Example: Radians, Degrees, and the Unit Circle

7. Convert radians to degrees (drop π) Example: Radians, Degrees, and the Unit Circle

8. http://www.embeddedmath.com/downloads/files/unitcircle/blankunitcircle-letter.pdf Fill in the unit circle with David! Unit Circle: The Angles Radians, Degrees, and the Unit Circle

9. http://www.embeddedmath.com/downloads/files/unitcircle/blankunitcircle-letter.pdf Fill in the unit circle with David! Unit Circle: The Coordinates Radians, Degrees, and the Unit Circle

10. http://www.embeddedmath.com/downloads/files/unitcircle/unitcircle-letter.pdf A complete unit circle Unit Circle: The Patterns Radians, Degrees, and the Unit Circle

11. You try! 1) Convert 45 ̊ into radians b. a. c. d. Radians, Degrees, and the Unit Circle

12. Sorry, incorrect. Try again! Radians, Degrees, and the Unit Circle

13. Correct! Nice work! Radians, Degrees, and the Unit Circle 9

14. You try! 2) Convert radians into degrees a. b. c. d. Radians, Degrees, and the Unit Circle

15. Sorry, incorrect. Try again! Radians, Degrees, and the Unit Circle

16. Correct! Nice work! Radians, Degrees, and the Unit Circle

17. You try! 3) What are the 4 main radian denominators? a. 2, 3, 4, 6 b. 2, 4, 6, 8 c. 1, 2, 3, 4 d. 1, 3, 5, 7 Radians, Degrees, and the Unit Circle

18. Sorry, incorrect. Try again! Radians, Degrees, and the Unit Circle

19. Correct! Nice work! Radians, Degrees, and the Unit Circle

20. Finding Trig Function Values Trigonometric functions help us find a launch angle Photo: http://www.flickr.com/photos/jurvetson/3961715726/, by Steve Jurvetsonhttp://www.flickr.com/photos/jurvetson/3961715726/

21. Trigonometric functions help us find Finding Trig Function Values an unknown height ? 40 ̊ 50 ft Photo: http://www.flickr.com/photos/33495997@N00/402827411/, by JSilverhttp://www.flickr.com/photos/33495997@N00/402827411/

22. Finding Trig Function Values

25. Click each function to reveal its reciprocal. sin Ѳ cos Ѳ Click to move on tan Ѳ

26. Finding Trig Function Values Cosecant

27. Finding Trig Function Values Secant

28. Finding Trig Function Values Cotangent

29. Finding Trig Function Values http://en.wikipedia.org/wiki/Trigonometric_functions#Right-angled_triangle_definitions Since the unit circle radius is always 1, Ѳ Click below for trig functions and reciprocals

30. Finding Trig Function Values How to find trig function values:

31. Finding Trig Function Values Find values for all trig functions at (Unit circle OR hand trick) Table of Contents

32. Trig Function Graphs Unit circle to the coordinate plane!

33. Conclusion

34. Some helpful links: http://mste.illinois.edu/users/pave l/java/unitcircle/ http://www.purplemath.com/mod ules/triggrph.htm http://www.mathsisfun.com/algeb ra/trig-interactive-unit-circle.html