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E-raamat: Trigonometry Demystified 2/E

  • Formaat: 432 pages
  • Sari: Demystified
  • Ilmumisaeg: 22-May-2012
  • Kirjastus: McGraw-Hill Professional
  • Keel: eng
  • ISBN-13: 9780071780254
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  • Formaat: 432 pages
  • Sari: Demystified
  • Ilmumisaeg: 22-May-2012
  • Kirjastus: McGraw-Hill Professional
  • Keel: eng
  • ISBN-13: 9780071780254
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DeMYSTiFieD is your solution for tricky subjects like trigonometryIf you think a Cartesian coordinate is something from science fiction or a hyperbolic tangent is an extremeexaggeration, you need Trigonometry DeMYSTiFieD, Second Edition, to unravel this topic's fundamental concepts and theories at your own pace.

This practical guide eases you into "trig," startingwith angles and triangles. As you progress, you willmaster essential concepts such as mapping, functions,vectors, and more. You will learn to transform polar coordinates as well as apply trigonometry in the real world. Detailed examples make it easy to understand the material, and end-of-chapter quizzes and a final exam help reinforce key ideas.

It's a no-brainer! You'll learn about:





Right triangles Circular functions Hyperbolic functions Inverse functions Geometrical optics Infinite-series expansions Trigonometry on a sphere





Simple enough for a beginner, but challenging enough for an advanced student, Trigonometry DeMYSTiFieD,Second Edition, helps you master this essential subject.
Introduction xi
Part I Origins and Theory
1(192)
Chapter 1 Angles, Distances, and Triangles
3(24)
Angles and Distances
4(7)
Triangles
11(6)
Trigonometric Triangles
17(8)
Quiz
25(2)
Chapter 2 Cartesian Coordinates
27(24)
How It's Assembled
28(6)
Radial Distance of a Point from the Origin
34(4)
Distance between Two Points
38(5)
Finding the Midpoint
43(4)
Quiz
47(4)
Chapter 3 The Unit-Circle Paradigm
51(24)
The Unit Circle
52(2)
Primary Circular Functions
54(8)
Secondary Circular Functions
62(10)
Quiz
72(3)
Chapter 4 Mappings, Relations, Functions, and Inverses
75(28)
What's a Mapping?
76(3)
Types of Mappings
79(4)
Examples of Relations
83(3)
Examples of Functions
86(2)
Inverses of Circular Functions
88(5)
Graphs of Inverse Circular Functions
93(7)
Quiz
100(3)
Chapter 5 Hyperbolic Functions
103(18)
The "Hyper Six"
104(3)
Hyperbolic Function Graphs
107(5)
Hyperbolic Inverses
112(2)
Hyperbolic Inverse Graphs
114(5)
Quiz
119(2)
Chapter 6 Polar Coordinates
121(28)
The Variables
122(3)
Three Basic Graphs
125(6)
Coordinate Transformations
131(11)
The Navigator's Way
142(5)
Quiz
147(2)
Chapter 7 Three-Space and Vectors
149(44)
Spatial Coordinates
150(9)
Vectors in the Cartesian Plane
159(4)
Vectors in the MPC Plane
163(5)
Vectors in Three Dimensions
168(9)
Quiz
177(16)
Test: Part I
181(12)
Part II Extensions and Applications
193(172)
Chapter 8 Scientific Notation
195(28)
Formatting Methods
196(8)
Rules for Use
204(5)
Approximation, Error, and Precedence
209(6)
Significant Figures
215(6)
Quiz
221(2)
Chapter 9 Surveying, Navigation, and Astronomy
223(24)
Terrestrial Distance Measurement
224(5)
Interstellar Distance Measurement
229(4)
Direction Finding and Radiolocation
233(11)
Quiz
244(3)
Chapter 10 Electrical Waves and Phase
247(22)
Alternating Current
248(4)
Phase Angle
252(6)
Inductive Reactance
258(4)
Capacitive Reactance
262(4)
Quiz
266(3)
Chapter 11 Geometrical Optics
269(28)
Reflection
270(9)
Refraction
279(8)
Color Dispersion
287(7)
Quiz
294(3)
Chapter 12 Trigonometry on a Sphere
297(28)
The Global Grid
298(7)
Arcs and Triangles
305(11)
Global Navigation
316(6)
Quiz
322(3)
Chapter 13 The Infinite-Series Paradigm
325(40)
Repeated Addition
326(5)
Repeated Multiplication
331(4)
Limits
335(3)
Expansion of the Sine
338(3)
Expansion of the Cosine
341(3)
Expansion of the Tangent
344(5)
Quiz
349(16)
Test: Part II
351(14)
Final Exam 365(26)
Answers to Quizzes, Tests, and Final Exam 391(4)
Appendix: Circular and Hyperbolic Identities 395(8)
Suggested Additional Reading 403(2)
Index 405
Stan Gibilisco is a professional technical writer who specializes in books on electronics and science topics. He is the author of The Encyclopedia of Electronics, The McGraw-Hill Encyclopedia of Personal Computing, and The Illustrated Dictionary of Electronics, as well as over 20 other technical books. His published works have won numerous awards. The Encyclopedia of Electronics was chosen a "Best Reference Book of the 1980s" by the American Library Association, which also named his McGraw-Hill Encyclopedia of Personal Computing a "Best Reference of 1996."