Expert: Richard J. Raridon - 6/15/2009

Question
23.   Determine if the sequence is arithmetic, geometric, both, or neither:
1/12,2/13,3/13,4/14

24.   Find the next two terms using the pattern in the difference between terms for the sequence:
24, 23, 21, 17, 9, ...
  
25.   Find the next two terms using the pattern in the difference between terms for the sequence:
1, 2, 6, 15, 31, ...
  

26.   Find a formula for the nth term of the geometric sequence:
8, 12, 18, 27, ...
  
27.   Find the specified term for the geometric sequence:
10, 50, 250, 1250, ..., t6
  

28.   Determine the sum for the arithmetic series:
n = 37, t1 = 23, t37 = 203
  
29.   Determine the sum for the arithmetic series:
n = 100, t1 = 17, t100 = 215
  
30.   Determine the sum for the arithmetic series:
n = 50, t1 = 187, t50 = 40

32.   Determine the sum for the geometric series: 27+18+12+8+...
  

33.   Sketch the following in standard position and find the measure: 2 and 1/3 counterclockwise revolutions
  
34.   Determine the correct formula for the measures of all angles coterminal with the angle: 140°

35.   Choose the measure of the angle whose terminal side in standard position passes through: (-4, 4)
  
36.   Choose the correct measure of the reference angle a where θ = -611°
  
37.   Choose the quadrant in which the angle is found: cos θ = -3/5, sin θ > 0
  
Part 12-1
Multiple Choice (Each question is worth one point)
38.   Choose the measure of the acute angle θ, where:
sin θ = 0.2654
  
39.   At a point on the ground 27.6 m from the foot of a flagpole, the angle of elevation of the top of the pole is 29°50'. Find the height of the pole to three significant digits.
  

40.   Given oblique triangle ABC, find the length of b: a = 100 c = 200 angle B = 150°
  
41.   Two planes leave an airport at the same time, one flying due west at 500km/h and the other flying due southeast at 300km/h. What is the distance between the planes two hours later?
  
42.   Given oblique triangle ABC, find the length of a: b = 130 angle B = 95° angle C = 35°
  
43.   In triangle ABC, a = 5, b = 9, and c = 6. Find angle A, angle B, and angle C.

46.   Express the trig ratio in terms of the same trig ratio of a reference angle: tan 336

47.   A monument consists of a flagpole 15 m tall standing on a mound in the shape of a cone with vertex angle 140°. How long a shadow does the pole cast on the cone where the angle of elevation of the sun is 62°?
  
48.   Find the area of the given triangle with angle A = 70°, b = 15, and c = 36.
  
49.   Find: tan(-43° 10')
  
50.   Find the trig ratio: cot 225   

52.   Find the number x if 0 ≤ x ≤ p/2 and x has the given function: csc x = 1.018

54.   Express the given radian measure in degree measure to the nearest degree: -4

55.   Express the given radian measure in degree measure to the nearest degree: -1

56.   The magnitude and direction of vectors u and v are given. Find vector w's polar coordinates.
u: magnitude 10, bearing 30°
v: magnitude 25, bearing 120°
w: 8u + 3v

57.   Give the rectangular coordinates: (-6, -150°).

58.   Give the rectangular coordinates: (-3, -120°).

60.   Write in x + yi form: 0.8(cos 250° + i sin 250°)

Answer
23. neither
24. -7, -39
25. 56, 92
26. 40.5, 60.75
27. 31250
28. 4181
29. 11600
30. 5675
32. 81
33. cannot sketch
36. 109
37. 126.87
38. 15.39
39. 15.8m
40. 123.9
41. 1486 km
42. 100
43. 109.47, 31.59, 38.94
46. tan 336 = -0.4452
48. 254
49. -0.938
50. cot(225) = 1
52. 79.2
54. -229
55. -57