College Trigonometry, 2011a

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968 Applications of <strong>Trigonometry</strong> 26. r = 3 cos(θ) andr =sin(θ) y ( 3 √ 10 10 , arctan(3) ) , pole 3 2 1 −3 −2 −1 1 2 3 −1 x −2 −3 27. r 2 =4cos(2θ) andr = √ 2 y 2 ( √2, π ) , 6 ( ) √2, 5π , 6 ( ) √2, 7π , 6 ( ) √2, 11π 6 −2 2 x −2 28. r 2 =2sin(2θ) andr =1 y √ 2 ( 1, π 12 ) ( , 1, 5π ) ( , 1, 13π ) ( , 1, 17π ) 12 12 12 1 − √ 2 −1 1 √ 2 x −1 − √ 2
11.5 Graphs of Polar Equations 969 29. r = 4 cos(2θ) andr =2 y 4 ( 2, π ) ( , 2, 5π 6 6 ( 2, 11π 6 ( −2, 4π 3 ) ( , 2, 7π 6 ) , ) ( , −2, π ) ( , −2, 2π 3 3 ) ) ( , −2, 5π 3 ) , −4 4 x −4 30. r =2sin(2θ) andr =1 y 2 −2 2 x ( 1, π ) ( , 1, 5π 12 12 ( 1, 17π 12 ) , ( −1, 19π 12 ( −1, 7π 12 ) ( , 1, 13π 12 ) , ) ( , −1, 23π 12 ) , ( −1, 11π 12 ) ) , −2
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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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10.2 The Unit Circle: Cosine and Si
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30 ◦ 1 10.2 The Unit Circle: Cosi
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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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11.8 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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