College Trigonometry, 2011a

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740 Foundations of <strong>Trigonometry</strong> 10.2.3 Answers ( π ) √ 2 ( π ) √ 2 1. cos(0) = 1, sin(0) = 0 2. cos = 4 2 , sin = 4 2 ( π ) 3. cos = 1 ( π ) √ 3 ( π ) ( π ) 3 2 , sin = 4. cos =0, sin =1 3 2 2 2 ( ) 2π 5. cos = − 1 ( ) √ ( ) √ ( ) √ 2π 3 3π 2 3π 2 3 2 , sin = 6. cos = − 3 2 4 2 , sin = 4 2 ( ) √ ( ) 7π 3 7π 7. cos(π) =−1, sin(π) =0 8. cos = − 6 2 , sin = − 1 6 2 ( ) √ ( ) √ ( ) 5π 2 5π 2 4π 9. cos = − 4 2 , sin = − 10. cos = − 1 ( ) √ 4π 3 4 2 3 2 , sin = − 3 2 ( ) ( ) ( ) 3π 3π 5π 11. cos =0, sin = −1 12. cos = 1 ( ) √ 5π 3 2 2 3 2 , sin = − 3 2 ( ) √ ( ) √ ( ) √ ( ) 7π 2 7π 2 23π 3 23π 13. cos = 4 2 , sin = − 14. cos = 4 2 6 2 , sin = − 1 6 2 ( 15. cos − 13π ) ( =0, sin − 13π ) ( = −1 16. cos − 43π ) √ ( 3 = − 2 2 6 2 , sin − 43π ) = 1 6 2 ( 17. cos − 3π ) √ 2 = − (− 4 2 , sin 3π ) √ 2 ( = − 18. cos − π ) √ 3 = (− 4 2 6 2 , sin π ) = − 1 6 2 ( ) 10π 19. cos = − 1 ( ) √ 10π 3 3 2 , sin = − 20. cos(117π) =−1, sin(117π) =0 3 2 21. If sin(θ) =− 7 25 with θ in Quadrant IV, then cos(θ) =24 25 . 22. If cos(θ) = 4 9 with θ in Quadrant I, then sin(θ) = √ 65 9 . 23. If sin(θ) = 5 13 with θ in Quadrant II, then cos(θ) =−12 13 . 24. If cos(θ) =− 2 11 with θ in Quadrant III, then sin(θ) =− √ 117 11 . 25. If sin(θ) =− 2 3 with θ in Quadrant III, then cos(θ) =− √ 5 3 . 26. If cos(θ) = 28 53 with θ in Quadrant IV, then sin(θ) =−45 53 .
10.2 The Unit Circle: Cosine and Sine 741 27. If sin(θ) = 2√ 5 5 28. If cos(θ) = and π 2
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College Trigonometry Version ⌊π
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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 and 28: 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 55: 10.2 The Unit Circle: Cosine and Si
Page 61 and 62: 10.3 The Six Circular Functions and
Page 87 and 88: 10.4 Trigonometric Identities 771 f
Page 89 and 90: 10.4 Trigonometric Identities 773 2
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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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