College Trigonometry, 2011a

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768 Foundations of <strong>Trigonometry</strong> 60. sec(t) =− 2√ 3 when t = 5π 3 6 +2πk or t = 7π 6 61. csc(t) = 0 never happens +2πk for any integer k 62. cot(t) =− √ 3whent = 5π 6 + πk for any integer k 63. tan(t) =− 64. sec(t) = 2√ 3 3 65. csc(t) = 2√ 3 3 √ 3 3 when t = 5π 6 when t = π 6 + πk for any integer k +2πk or t = 11π 6 when t = π 3 +2πk or t = 2π 3 66. θ =30 ◦ , a =3 √ 3, c = √ 108 = 6 √ 3 67. α =56 ◦ , b = 12 tan(34 ◦ )=8.094, c =12sec(34 ◦ )= 68. θ =43 ◦ , a = 6 cot(47 ◦ )= +2πk for any integer k +2πk for any integer k 6 tan(47 ◦ ) ≈ 5.595, c = 6 csc(47◦ )= 12 cos(34 ◦ ) ≈ 14.475 6 sin(47 ◦ ) ≈ 8.204 69. β =40 ◦ , b =2.5 tan(50 ◦ ) ≈ 2.979, c =2.5 sec(50 ◦ )= 2.5 cos(50 ◦ ) ≈ 3.889 70. The side adjacent to θ has length 4 √ 3 ≈ 6.928 71. The side opposite θ has length 10 sin(15 ◦ ) ≈ 2.588 72. The side opposite θ is 2 tan(87 ◦ ) ≈ 38.162 73. The hypoteneuse has length 14 csc(38.2 ◦ 14 )= sin(38.2 ◦ ) ≈ 22.639 74. The side adjacent to θ has length 3.98 cos(2.05 ◦ ) ≈ 3.977 75. The side opposite θ has length 31 tan(42 ◦ ) ≈ 27.912 76. The tree is about 47 feet tall. 77. The lights are about 75 feet apart. 78. (b) The fire is about 4581 feet from the base of the tower. (c) The Sasquatch ran 200 cot(6 ◦ ) − 200 cot(6.5 ◦ ) ≈ 147 feet in those 10 seconds. This translates to ≈ 10 miles per hour. At the scene of the second sighting, the Sasquatch was ≈ 1755 feet from the tower, which means, if it keeps up this pace, it will reach the tower in about 2 minutes.
10.3 The Six Circular Functions and Fundamental Identities 769 79. The tree is about 41 feet tall. 80. The boat has traveled about 244 feet. 81. The tower is about 682 feet tall. The guy wire hits the ground about 731 feet away from the base of the tower.
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College Trigonometry Version ⌊π
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Table of Contents vii 10 Foundation
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Preface Thank you for your interest
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xi text and we have gone to great l
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Chapter 10 Foundations of Trigonome
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10.1 Angles and their Measure 695 k
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10.1 Angles and their Measure 697 2
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10.1 Angles and their Measure 701 T
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10.1 Angles and their Measure 703 y
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10.1 Angles and their Measure 705 y
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10.1 Angles and their Measure 707 h
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10.1 Angles and their Measure 711 I
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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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