College Trigonometry, 2011a

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812 Foundations of <strong>Trigonometry</strong> ( 5. y = − sin x + π ) 3 Period: 2π Amplitude: 1 Phase Shift: − π 3 Vertical Shift: 0 − π 3 1 y π 6 2π 3 7π 6 5π 3 x −1 6. y =sin(2x − π) Period: π Amplitude: 1 π Phase Shift: 2 Vertical Shift: 0 1 y π 2 3π 4 π 5π 4 3π 2 x −1 ) y 7. y = − 1 ( 1 3 cos 2 x + π 3 Period: 4π 1 Amplitude: 3 Phase Shift: − 2π 3 Vertical Shift: 0 − 2π 3 1 3 − 1 3 π 3 4π 3 7π 3 10π 3 x 8. y =cos(3x − 2π)+4 2π Period: 3 Amplitude: 1 2π Phase Shift: 3 Vertical Shift: 4 5 4 3 y 2π 3 5π 6 π 7π 6 4π 3 x
10.5 Graphs of the Trigonometric Functions 813 ( 9. y =sin −x − π ) − 2 4 Period: 2π Amplitude: 1 Phase Shift: − π (You need to use ( 4 y = − sin x + π ) − 2 to find this.) 15 4 − 9π 4 − 7π 4 − 5π 4 − 3π − π 4 4 −1 −2 y π 4 3π 4 5π 4 7π 4 x Vertical Shift: −2 −3 10. y = 2 ( π ) 3 cos 2 − 4x +1 π Period: 2 2 Amplitude: 3 π Phase Shift: (You need to use 8 y = 2 ( 3 cos 4x − π 2 Vertical Shift: 1 ) + 1 to find this.) 16 − 3π 8 − π 4 − π 8 5 3 1 1 3 y π 8 π 4 3π 8 π 2 5π 8 x 11. y = − 3 ( 2 cos 2x + π ) − 1 3 2 Period: π Amplitude: 3 2 Phase Shift: − π 6 1 − π 6− 1 2 y π 12 π 3 7π 12 5π 6 x Vertical Shift: − 1 2 −2 12. y =4sin(−2πx + π) Period: 1 Amplitude: 4 1 Phase Shift: (You need to use 2 y = −4sin(2πx − π) to find this.) 17 Vertical Shift: 0 − 1 2 − 1 4 4 y 1 4 1 2 3 4 1 5 4 3 2 x −4 15 Two cycles of the graph are shown to illustrate the discrepancy discussed on page 796. 16 Again, we graph two cycles to illustrate the discrepancy discussed on page 796. 17 This will be the last time we graph two cycles to illustrate the discrepancy discussed on page 796.
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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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10.7 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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