College Trigonometry, 2011a

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712 Foundations of <strong>Trigonometry</strong> 10.1.3 Answers 1. 63 ◦ 45 ′ 2. 200 ◦ 19 ′ 30 ′′ 3. −317 ◦ 3 ′ 36 ′′ 4. 179 ◦ 59 ′ 56 ′′ 5. 125.833 ◦ 6. −32.17 ◦ 7. 502.583 ◦ 8. 237.979 ◦ 9. 330 ◦ is a Quadrant IV angle coterminal with 690 ◦ and −30 ◦ 4 3 2 1 −4 −3 −2 −1 −1 1 2 3 4 −2 −3 −4 y x 10. −135 ◦ is a Quadrant III angle coterminal with 225 ◦ and −495 ◦ 4 3 2 1 −4 −3 −2 −1 −1 1 2 3 4 −2 −3 −4 y x 11. 120 ◦ is a Quadrant II angle coterminal with 480 ◦ and −240 ◦ 4 3 2 1 −4 −3 −2 −1 −1 1 2 3 4 −2 −3 −4 y x 12. 405 ◦ is a Quadrant I angle coterminal with 45 ◦ and −315 ◦ 4 3 2 1 −4 −3 −2 −1 −1 1 2 3 4 −2 −3 −4 y x 13. −270 ◦ lies on the positive y-axis coterminal with 90 ◦ and −630 ◦ 4 3 2 1 −4 −3 −2 −1 −1 1 2 3 4 −2 −3 −4 y x 14. 5π is a Quadrant II angle 6 coterminal with 17π 6 and −7π 6 4 3 2 1 −4 −3 −2 −1 −1 1 2 3 4 −2 −3 −4 y x
10.1 Angles and their Measure 713 15. − 11π is a Quadrant I angle 3 coterminal with π 3 and −5π 3 4 3 2 1 −4 −3 −2 −1 −1 1 2 3 4 −2 −3 −4 y x 16. 5π is a Quadrant III angle 4 coterminal with 13π 4 and −3π 4 4 3 2 1 −4 −3 −2 −1 −1 1 2 3 4 −2 −3 −4 y x 17. 3π is a Quadrant II angle 4 coterminal with 11π 4 and −5π 4 4 3 2 1 −4 −3 −2 −1 −1 1 2 3 4 −2 −3 −4 y x 18. − π is a Quadrant IV angle 3 coterminal with 5π 3 and −7π 3 4 3 2 1 −4 −3 −2 −1 −1 1 2 3 4 −2 −3 −4 y x 19. 7π 2 lies on the negative y-axis 20. π 4 is a Quadrant I angle coterminal with 3π 2 and −π 2 4 3 2 1 −4 −3 −2 −1 −1 1 2 3 4 −2 −3 −4 y x coterminal with 9π 4 and −7π 4 4 3 2 1 −4 −3 −2 −1 −1 1 2 3 4 −2 −3 −4 y x
Page 1 and 2: College Trigonometry Version ⌊π
Page 3 and 4: Table of Contents vii 10 Foundation
Page 5 and 6: Preface Thank you for your interest
Page 7 and 8: xi text and we have gone to great l
Page 9 and 10: Chapter 10 Foundations of Trigonome
Page 11 and 12: 10.1 Angles and their Measure 695 k
Page 13 and 14: 10.1 Angles and their Measure 697 2
Page 17 and 18: 10.1 Angles and their Measure 701 T
Page 19 and 20: 10.1 Angles and their Measure 703 y
Page 21 and 22: 10.1 Angles and their Measure 705 y
Page 23 and 24: 10.1 Angles and their Measure 707 h
Page 27: 10.1 Angles and their Measure 711 I
Page 33 and 34: 10.2 The Unit Circle: Cosine and Si
Page 53 and 54: 30 ◦ 1 10.2 The Unit Circle: Cosi
Page 61 and 62: 10.3 The Six Circular Functions and
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10.3 The Six Circular Functions and
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10.4 Trigonometric Identities 771 f
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10.4 Trigonometric Identities 773 2
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10.4 Trigonometric Identities 779 T
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10.4 Trigonometric Identities 781 R
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10.4 Trigonometric Identities 785 I
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10.5 Graphs of the Trigonometric Fu
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10.6 The Inverse Trigonometric Func
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10.7 Trigonometric Equations and In
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Chapter 11 Applications of Trigonom
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11.1 Applications of Sinusoids 883
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11.2 The Law of Sines 897 minimizes
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11.2 The Law of Sines 899 a angle-s
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11.2 The Law of Sines 901 determine
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11.2 The Law of Sines 903 Let x den
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11.2 The Law of Sines 905 24. Along
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11.2 The Law of Sines 907 33. The a
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11.2 The Law of Sines 909 25. (a)
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11.3 The Law of Cosines 911 of B ar
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11.3 The Law of Cosines 913 the pre
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11.3 The Law of Cosines 915 A 2 = =
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11.3 The Law of Cosines 917 22. A n
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11.4 Polar Coordinates 919 11.4 Pol
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11.4 Polar Coordinates 921 The poin
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11.4 Polar Coordinates 923 4. We mo
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11.4 Polar Coordinates 925 Solution
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11.4 Polar Coordinates 927 Solution
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11.4 Polar Coordinates 929 algebrai
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11.4 Polar Coordinates 931 45. ( )
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11.4 Polar Coordinates 933 5. ( 12,
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11.4 Polar Coordinates 935 13. (
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11.4 Polar Coordinates 937 73. r =7
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11.5 Graphs of Polar Equations 939
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11.6 Hooked on Conics Again 973 11.
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11.6 Hooked on Conics Again 975 Exa
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11.6 Hooked on Conics Again 977 The
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11.6 Hooked on Conics Again 979 We
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11.6 Hooked on Conics Again 983 The
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11.6 Hooked on Conics Again 985 In
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11.6 Hooked on Conics Again 989 2 9
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11.7 Polar Form of Complex Numbers
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11.8 Vectors 1013 Q ′ (1, 7) up 4
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11.8 Vectors 1015 ⃗v + ⃗w = 〈
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11.8 Vectors 1017 ⃗v − ⃗w =
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11.8 Vectors 1019 The remaining pro
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11.8 Vectors 1021 ‖k⃗v‖ = ‖
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11.8 Vectors 1023 at the origin, th
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11.8 Vectors 1025 Geometrically, th
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11.8 Vectors 1027 11.8.1 Exercises
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11.8 Vectors 1029 44. ⃗v = 〈−
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11.8 Vectors 1031 11.8.2 Answers 1.
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11.8 Vectors 1033 47. ‖⃗v‖ =2
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11.9 The Dot Product and Projection
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11.10 Parametric Equations 1049 obj
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11.10 Parametric Equations 1051 2.
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11.10 Parametric Equations 1053 Now
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11.10 Parametric Equations 1057 Our
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11.10 Parametric Equations 1061 Sup
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Index n th root of a complex number
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Index 1071 central angle, 701 chang
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Index 1073 reflective property, 523
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Index 1075 matrix, multiplicative,
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Index 1077 midpoint definition of,
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Index 1079 instantaneous, 161, 472
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Index 1081 inconsistent, 553 indepe
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College Trigonometry, 2011a

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