1. 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 Basic Trigonometry Angle Measure Reference Angles Application Movie Quotes

2. What are the six trigonometric functions and their side ratios?

4. Evaluate the sinθ θ 11 5 12

6. Evaluate the six trigonometric functions θ 4 5

8. Find the missing side lengths 60° x y 9

10. Solve ∆ABC given the following: B b a c A C

12. Draw an angle of 215° in standard position.

14. Find one positive and one negative angle that is coterminal with 540°

15. 900° and -180°

16. Find one positive and one negative angle that is coterminal with

18. Convert from degrees to radians

20. Convert from radians to degrees

22. Use the point (-8,-6) on the terminal side of an angle θ to evaluate the six trigonometric functions.

24. Sketch a 315° angle and find its reference angle.

25. Reference Angle = 45°

26. Evaluate the six trigonometric functions for 180°

28. Use a calculator to evaluate the function. Round to four decimal places.

30. Evaluate the function without using a calculator.

32. You are standing 200 ft from a redwood tree. You approximate the angle of elevation to be 60°. How tall is the tree?

34. Mt. Fuji in Japan is approximately 12,400 ft high. Standing several miles away you estimate the angle of elevation to be 30°. Approximately how far away from the base of the mountain are you?

36. Find the arc length and area of a sector with the given measurements.

38. During a competition, a snowboarder performs a trick that involves three revolutions. Find the measure of the angle generated by the trick in both degrees and radians.

40. The pendulum of a grandfather clock is 4 feet long and swings through an angle of 60°. Find the length of the arc of the pendulum after one swing.

43. Forrest Gump

45. Tommy Boy

47. The Wedding Singer

49. National Lampoon’s Christmas Vacation

51. Hitch

52. Famous Kansans

53. In the capitol building in Topeka, there is a large mural of an famous abolitionist from Kansas. He became well known after Harper’s Ferry and his fight against slavery. Name that Kansan.

54. John Brown