Study guide
Answer Section
1. ANS:
3rd quadrant
PTS: 1 OBJ: Determine in which quadrant an angle lies
2. ANS:
4th quadrant
PTS: 1 OBJ: Determine in which quadrant an angle lies
3. ANS:
PTS: 1 OBJ: Determine two coterminal angles (radians)
4. ANS:
PTS: 1 OBJ: Find the complement of an angle (radians)
5. ANS:
PTS: 1 OBJ: Find the complement of an angle (radians)
6. ANS:
2nd quadrant
PTS: 1 OBJ: Determine in which quadrant an angle lies
7. ANS:
3rd quadrant
PTS: 1 OBJ: Determine in which quadrant an angle lies
8. ANS:
PTS: 1 OBJ: Convert degree measure to radian measure
9. ANS:
PTS: 1 OBJ: Convert radian measure to degree measure
10. ANS:
PTS: 1 OBJ: Convert degree measure to radian measure
11. ANS:
PTS: 1 OBJ: Convert radian measure to degree measure
12. ANS:
feet
PTS: 1 OBJ: Find length of arc given radius and central angle
13. ANS:
PTS: 1 OBJ: Find the area of a sector given the radius and central angle
14. ANS:
–1.4973 cm
PTS: 1 OBJ: Values of trig functions at any angle
15. ANS:
PTS: 1 OBJ: Determine trig value from diagram
16. ANS:
0.8204
PTS: 1 OBJ: Evaluate trig values using calculator
17. ANS:
PTS: 1 OBJ: Determine theta without the use of calculator
18. ANS:
PTS: 1 OBJ: Determine value of variable using right-triangle trig
19. ANS:
=
PTS: 1 OBJ: Determine trig value from diagram
20. ANS:
PTS: 1 OBJ: Determine value of trig function given point on terminal side
21. ANS:
PTS: 1 OBJ: Determine value of trig function given point on terminal side
22. ANS:
Quadrant IV
PTS: 1 OBJ: Determine quadrant given constraints
23. ANS:
PTS: 1 OBJ: Solve trig equations
24. ANS:
PTS: 1 OBJ: Determine value of inverse trig function without a calculator
25. ANS:
PTS: 1 OBJ: Determine value of inverse trig function without a calculator
26. ANS:
PTS: 1 OBJ: Use inverse functions to solve for theta
27. ANS:
PTS: 1 OBJ: Find a third triangle given two pieces
28. ANS:
10.29
PTS: 1 OBJ: Find a third triangle given two pieces
29. ANS:
6.41
PTS: 1 OBJ: Find altitude of isosceles triangle given two parts of the triangle
30. ANS:
PTS: 1 OBJ: Use fundamental identities to determine equivalent expression
31. ANS:
PTS: 1 OBJ: Use fundamental identities to determine equivalent expression
32. ANS:
PTS: 1 OBJ: Use fundamental identities to determine equivalent expression
33. ANS:
PTS: 1 OBJ: Use fundamental identities to determine equivalent expression
34. ANS:
PTS: 1 OBJ: Use fundamental identities to determine equivalent expression
35. ANS:
PTS: 1 OBJ: Write algebraic expressions as trig functions with trig substitution
36. ANS:
PTS: 1 OBJ: Verify identities
37. ANS:
PTS: 1 OBJ: Verify identities
38. ANS:
PTS: 1 OBJ: Verify identities
39. ANS:
PTS: 1 OBJ: Verify identities
40. ANS:
PTS: 1 OBJ: Solve trig equations
41. ANS:
PTS: 1 OBJ: Solve multiple-angle equations
42. ANS:
PTS: 1 OBJ: Find exact value of expression using sum formula
43. ANS:
PTS: 1 OBJ: Find exact value of expression using sum or difference formula
44. ANS:
PTS: 1 OBJ: Rewrite an expression using a sum or difference formula
45. ANS:
PTS: 1 OBJ: Find exact value of expression using sum or difference formula
46. ANS:
PTS: 1
OBJ: Find exact value of expression using sum or difference formula with constraints
47. ANS:
PTS: 1 OBJ: Use sum and difference formulas to verify trig identities
48. ANS:
PTS: 1 OBJ: Find exact solutions to trig equations involving multiple angles
49. ANS:
PTS: 1 OBJ: Find exact value of expression using the half-angle formula
50. ANS:
PTS: 1 OBJ: Find exact value of expression using the half-angle formula
51. ANS:
PTS: 1 OBJ: Find exact value of trig function from diagram
52. ANS:
PTS: 1 OBJ: Find exact value of expression using the half-angle formula
53. ANS:
PTS: 1 OBJ: Rewrite an expression with a product-to-sum formula
54. ANS:
PTS: 1 OBJ: Solve trig equations using half-angle formulas
55. ANS:
PTS: 1 OBJ: Use the sum-to-product formula to find exact value of expressions
56. ANS:
PTS: 1 OBJ: Solve triangles using the Law of Sines (AAS)
57. ANS:
PTS: 1 OBJ: Solve triangles using the Law of Sines (SSA - 2 sol)
58. ANS:
36.41 sq. units
PTS: 1 OBJ: Find the area of an oblique triangle
59. ANS:
5.71 feet
PTS: 1 OBJ: Application: Law of Sines
60. ANS:
PTS: 1 OBJ: Solve triangles using the Law of Cosines (SSS)
61. ANS:
13.71
PTS: 1 OBJ: Solve figures for missing values using the Law of Cosines
62. ANS:
PTS: 1 OBJ: Determine the component form of a vector
63. ANS:
PTS: 1 OBJ: Determine the magnitude of a vector
64. ANS:
PTS: 1 OBJ: Combine components of vectors
65. ANS:
PTS: 1 OBJ: Determine vector given magnitude and direction of another vector
66. ANS:
PTS: 1 OBJ: Determine magnitude and direction angle of standard unit vector
67. ANS:
PTS: 1 OBJ: Determine magnitude and direction angle of standard unit vector
68. ANS:
PTS: 1 OBJ: Determine components of vector given magnitude and angle with x-axis
69. ANS:
PTS: 1
70. ANS:
vertex: directrix:
PTS: 1 REF: 235 OBJ: Find the vertex and focus of a parabola
71. ANS:
PTS: 1 REF: 238 OBJ: Find the standard form of a parabola
72. ANS:
PTS: 1
73. ANS:
center: (0, 0) vertices: (–7, 0), (7, 0)
PTS: 1 REF: 216
OBJ: Find center and vertices of an ellipse centered at the origin
74. ANS:
center: foci:
PTS: 1 REF: 244 OBJ: Find center and foci of an ellipse
75. ANS:
center: vertices:
PTS: 1 REF: 245 OBJ: Find center and vertices of an ellipse
76. ANS:
PTS: 1
77. ANS:
center: (–1, 5), vertices: (–6, 5), (4,5)
PTS: 1
78. ANS:
vertices: asymptote:
PTS: 1 REF: 225
OBJ: Find vertices and asymptotes of a hyperbola centered at the origin
79. ANS:
center: (–8, 3) vertices: (–11, 3), (–5, 3)
PTS: 1
80. ANS:
PTS: 1 REF: 219
OBJ: Find the standard form of a ellipse with a vertex at the origin
81. ANS:
PTS: 1
82. ANS:
PTS: 1
83. ANS:
PTS: 1
84. ANS: B PTS: 1