1. Warm-up! 1. Graph one period in the positive and negative direction for y = -2cos(3x) – 1. 2. Solve the triangle given b = 16, a = 10, and angle A = 30. Round angles to the nearest degree and sides to the tenths place 3. The pilot of an airplane finds the angle of depression to an airport to be 16 degrees. If the altitude of the plane is 6000 meters, find the horizontal distance to the airport.

2. Warm-up Answers! 1. Graph one period in the positive and negative direction for y = -2cos(3x) – 1. Amplitude = |A| = |-2| = 2 graph is reflected over x-axis due to A = -2 Period = 360/B = 360/3 = 120 degrees Midline y = D y = -1

3. Warm-up Answers! 2. Solve the triangle given b = 16, a = 10, and angle A = 30. SSA & side across from angle is shorter than other side -> check for ambiguous case! Angle C 1 = 97 Angle B 1 = 53 c 1 = 19.9 Angle C 2 = 23 Angle B 2 = 127 c 2 = 8

4. Warm-up Answers! 3. The pilot of an airplane finds the angle of depression to an airport to be 16 degrees. If the altitude of the plane is 6000 meters, find the horizontal distance to the airport. 20,924 meters (use tan)

5. Homework Answers

11. TRIG TEST REVIEW Pick up by the window: Whiteboard (each person) Marker (each person) Eraser (share with partner)

12. Complete the given Ratio:

13. Solve the triangle If Angle A = 42 , Angle C = 77 , c = 6 Angle B = 61  a = 4.1 B = 5.4

14. Which is the angle of depression for Ben as he looks at Cal?

15. Complete the given Ratio:

16. A person is standing 50 meters from a traffic light. If the angle of elevation from the person to the top of the traffic light is 25 degrees, find the height of the traffic light. 23 meters

17. Complete the given Ratio:

18. Use your Calculator to find…

19. Find the amplitude, period, and midline. y = -2cos (2x) +3 Amplitude: 2 Period: 180  Midline: y = 3

20. Fill in the Blank… If sin A = cos B then Angle A and Angle B are _____________. complementary

21. Write the equation of the trig funtion. y = sin(3x)

22. Complete the given Ratio:

23. Find x: x = 90˚, 10˚

24. Which is the angle of elevation for Cal as he looks at Ben?

25. Solve for x:

27. Find B, a, and c Angle B = 29 , a = 33, c = 28

28. Solve for x:

29. Solve for x. 4cos (x) – 6 = -5.2 x = 78.5 

30. Use your Calculator to find…

31. Solve for x:

32. Classify the ∆ by sides and angles: Scalene right

33. Solve for x:

34. Complete the given Ratio:

35. Solve  ABC if m  A = 25 , a = 125, and b = 150. Case 1: Angle B = 31 Angle C = 124 c = 245 Case 2: Angle B = 149 Angle C = 6 c = 31

36. Solve for x:

37. Write the equation of the trig funtion. y = 4cos(3x)

38. Fill in the blank….

39. Solve for x:

41. A cliff is 90 feet above the sea. From the cliff, the angle of depression of a boat measures 46 degrees. How far is the boat from the base of the cliff? 86 feet

42. Complete the given Ratio:

43. Solve the triangle If Angle R = 37 , q = 8, p = 11 Angle Q = 43 Angle P = 100 r = 7

44. Find the area: If Angle R = 37 , q = 8, p = 11 Area = 26.5

45. Classify the ∆ by sides and angles Obtuse isosceles

46. Find the amplitude, period, and midline. y = (1/2)sin (3x) – 5 Amplitude: ½ Period: 120 Midline: y = -5

47. THE END!!