precal2 review test2 2016 · 2018. 3. 6. · precal2 review test2 2016 1. express 10 /3 radians in...
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PreCal2 Review Test2 2016
1. Express 10 /3 radians in degree measure.
2. Express 315º in radian measure.
3. Express 450º in radian measure.
4. Express 11 /6 radians in degrees.
5. Express 180° in radian measure.
6. Expressed in degrees, 8 /3 is equivalent to
A) 240º B) 300º C) 420º D) 480º
A) 0.2 B) 0.4 C) 0.6 D) 0.8
7. Through how many radians does the minute hand of aclock turn in 24 minutes?
8. An angle that measures radians is in standardposition. In which quadrant does its terminal side lie?
A) –150° B) –30°C) 150° D) 240°
9. If placed in standard position, an angle of radians has the same terminal side as an angle of
10. The graph below represents the displacement of apendulum as a function of time. This graph bestmodels what type of function?
A) logarithmic B) trigonometricC) linear D) exponential
A) sin 50° B) –sin 50°C) cos 50° D) –cos 50°
11. Expressed as a function of a positive acute angle, sin(–230°) is equal to
12. What is the angle of inclination of a hill whose slopehas a length of 345 ft and rises 87 ft to the nearesttenth of a degree?
13. What is the height of a tree that creates a 40 footshadow when the sun is at an angle of elevation of40° to the nearest tenth of a foot?
14. A car traveling on a road goes down a hill that isinclined at an angle of 15.6°. If the car travels 1000ft on this hill, what is its change in elevation to the nearest foot?
15. As shown in the accompanying diagram, a kite isflying at the end of a 25 meter string. If the stringmakes an angle of 65° with the ground, how high, tothe nearest meter, is the kite?
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16. Carlos is standing 45 feet away from the bottom of atree, as shown in the diagram below.
If the tree is 108 feet tall, what is its angle ofelevation? Rounded to the nearest whole degree.
17. The value of the expression below is
A) B) C) D)
18. Find the value of the expression below.
19. If is a positive acute angle and 2 cos + 3 = 4, findthe number of degrees in .
20. If f(x) = tan x, evaluate f( /4).
21. In the accompanying diagram of right triangle , , , and . If
is represented by , which equation can be usedto find ?
A) B)C) D)
22. What is to the nearest integer if?
23. In the diagram below of right triangle BAC,m A = 90º, m B = 45º, and AC = 8.
A) 8 B) 8C) 4 D) 16
What is the length of ?
24. In the accompanying diagram of right triangle , , , , and
.
A) B)C) D)
Which equation could be used to find the length of ?
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25. In the accompanying diagram of rhombus ABCD, and are diagonals intersecting at point M.
A) 48 B) 48C) 24 D) 24
What is the perimeter of the rhombus if m DAB = 120º and AC = 12?
A) 6 B) 14 C) 17 D) 24
26. In right triangle ABC, m C = 90º, m A= 55º, and CA = 10. What is the length of to the nearestinteger?
27. In the accompanying diagram, altitude is drawnin trapezoid DEFG, DE = 10, EF = 9, FG = 8, and GD = 15.
A) 37º B) 53º C) 60º D) 80º
What is m D to the nearest degree?
28. If tan A = 0.4548, find the measure of A to the nearest degree.
29. In the accompanying diagram of right triangle , what is ?
A) B) C) D)
30. A 20-foot ladder is leaning against a wall. The footof the ladder makes an angle of 58° with the ground.Find, to the nearest foot, the vertical distance fromthe top of the ladder to the ground.
A) I B) II C) III D) IV
31. If and , in which quadrant doesthe terminal side of angle lie?
A) cos P 0C) csc P > 0 and cot P < 0D) tan P 0
32. An angle, P, drawn in standard position, terminatesin Quadrant II if
A) I B) II C) III D) IV
33. If sin is less than 0 and sec is greater than 0, inwhich quadrant does the terminal side of lie?
A) I B) II C) III D) IV
34. If tan = 2.7 and csc
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A) 210 B) 225 C) 233 D) 240
35. In the accompanying diagram of a unit circle, the
ordered pair represents the point
where the terminal side of intersects the unit circle
What is the measure of angle ?
A) I B) II C) III D) IV
36. If sin > 0 and sec
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A) –4 B) –1C) 0 D) undefined
50. Angle is in standard position and (–4,0) is a pointon the terminal side of . What is the value of sec ?
A) B) C) D)
51. If and terminates in QuadrantIV, tan A equals
A) B)C) D)
52. If , which statement must be true?
A) B) C) D)
53. If and , what is ?
A) B) C) D)
54. The value of is
55. If , evaluate .
56. If , evaluate f( ).
A) B) C) D)
57. The value of is
58. If , find the value of
.
59. If and is positive, what is thevalue of ?
A) B) C) D)
60. In the diagram below, the length of which linesegment is equal to the exact value of sin ?
A) 45 B) 135 C) 225 D) 240
61. In the diagram below of a unit circle, the orderedpair represents the point where the
terminal side of intersects the unit circle
What is m ?
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A) 1 B) C) D)
62. In the accompanying diagram of a unit circle, theordered pair (x,y) represents the point where theterminal side of intersects the unit circle.
If , what is the value of x?
A) 1 B) C) – D)
63. In the accompanying diagram of a unit circle, theordered pair (x,y) represents the point where theterminal side of intersects the unit circle.
If = 150°, what is the value of x?
A) 45° B) 135° C) 225° D) 315°
64. If and , the measureangle x is
A) B) C) D)
65. If is an angle in standard position and its terminalside passes through the point on the unitcircle, then a possible value of is
A) B) C) D)
66. The value of (sin 60º)(cos 60º) is
A)
B)
C)
D)
67. In the accompanying diagram of circle , isa diameter, is the origin, = , and
. What are the coordinates of ?
A) 30° B) –30° C) 60° D) –60°
68. In the accompanying diagram, is an angle in thefourth quadrant which is generated clockwise. is drawn and P has coordinates .What isthe measure of angle ?
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Answer KeyPreCal2 Review Test2 2016
1. 6002.
3.
4. 3305.6. D7. D8.9. B10. B11. A12. 14.6°13. 33.6 ft14. 269 ft15. 23 m16. 67º17. D18.
19. 60°20. 121. A22.23. B24. C25. A26. C27. B28. 24º29. A30. 17 ft31. C32. C33. D34. C
35. A36. B37. IV38. C39. A40.
41. A42. C43. B44. 60º or
45. sin 30º or cos 60º46. D47. tan 60° or cot 30°48. D49. A50. B51. B52. A53. D54. D55. 156. –157. C58. 259.
60. B61. C62. C63. B64. D65. B66. D67. B68. D