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Trigonometry

ISBN: 9780134564197 | 0134564197
Edition: 4th
Format: Hardcover
Publisher: Prentice Hall Professional Technical Reference
Pub. Date: 2/1/1996

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SummaryTable of Contents
A proven motivator for readers of diverse mathematical backgrounds, this book explores mathematics within the context of real life using understandable, realistic applications consistent with the abilities of most readers. Graphing techniques are emphasized, including a thorough discussion of polynomial, rational, exponential, and logarithmic functions and conics. Chapter topics include Functions and Their Graphs; Trigonometric Functions; Analytic Trigonometry; Analytic Geometry; Exponential and Logarithmic Functions; and more. For anyone interested in trigonometry.
Preface to the Instructorix(6)
Preface to the Studentxv
CHAPTER 1 FUNCTIONS AND GRAPHS
1(88)
1.1 Review Topics from Algebra and Geom... MORE
2(10)
1.2 Rectangular Coordinates and Graphs
12(16)
1.3 Functions
28(16)
1.4 More about Functions
44(16)
1.5 Graphing Techniques
60(12)
1.6 One-to-One Functions; Inverse Functions
72(11)
Chapter Review
83(6)
CHAPTER 2 TRIGONOMETRIC FUNCTIONS
89(64)
2.1 Angles and Their Measure
90(10)
2.2 Trigonometric Functions: Unit Circle Approach
100(16)
2.3 Properties of the Trigonometric Functions
116(11)
2.4 Right Triangle Trigonometry
127(10)
2.5 Applications
137(11)
Chapter Review
148(5)
CHAPTER 3 GRAPHS OF TRIGONOMETRIC FUNCTIONS
153(52)
3.1 Graphs of the Sine and Cosine Functions
154(4)
3.2 Sinusoidal Graphs
158(11)
3.3 Applications
169(11)
3.4 The Graphs of y = tan x, y = csc x, y = sec x, and y = cot x
180(5)
3.5 The Inverse Trigonometric Functions
185(16)
Chapter Review
201(4)
CHAPTER 4 ANALYTIC TRIGONOMETRY
205(44)
4.1 Trigonometric Identities
206(5)
4.2 Sum and Difference Formulas
211(10)
4.3 Double-angle and Half-angle Formulas
221(9)
4.4 Product-to-Sum and Sum-to-Product Formulas
230(4)
4.5 Trigonometric Equations
234(11)
Chapter Review
245(4)
CHAPTER 5 OBLIQUE TRIANGLES; POLAR COORDINATES
249(54)
5.1 The Law of Sines
250(11)
5.2 The Law of Cosines
261(7)
5.3 The Area of a Triangle
268(5)
5.4 Polar Coordinates
273(9)
5.5 Polar Equations and Graphs
282(16)
Chapter Review
298(5)
CHAPTER 6 ANALYTIC GEOMETRY
303(68)
6.1 Preliminaries
304(1)
6.2 The Parabola
305(11)
6.3 The Ellipse
316(13)
6.4 The Hyperbola
329(15)
6.5 Rotation of Axes; General Form of a Conic
344(8)
6.6 Polar Equations of Conics
352(5)
6.7 Plane Curves and Parametric Equations
357(8)
Chapter Review
365(6)
CHAPTER 7 COMPLEX NUMBERS; VECTORS
371(40)
7.1 Complex Numbers
372(8)
7.2 The Complex Plane; Demoivre's Theorem
380(8)
7.3 Vectors
388(11)
7.4 The Dot Product
399(8)
Chapter Review
407(4)
CHAPTER 8 EXPONENTIAL AND LOGARITHMIC FUNCTIONS
411(60)
8.1 Exponential Functions
412(12)
8.2 Logarithmic Functions
424(10)
8.3 Properties of Logarithms
434(8)
8.4 Logarithmic and Exponential Equations
442(5)
8.5 Compound Interest
447(9)
8.6 Growth and Decay
456(5)
8.7 Logarithmic Scales
461(4)
Chapter Review
465(6)
APPENDIX A: ALGEBRA REVIEW471(24)
A.1 Completing the Square; the Quadratic Formula471(4)
A.2 The Straight Line475(20)
APPENDIX B: GRAPHING UTILITIES495
B.1 The Viewing Rectangle495(3)
B.2 Graphing Equations Using a Graphing Utility498(5)
B.3 The TRACE, ZOOM-IN, and BOX Functions503(3)
B.4 Square Screens506(2)
B.5 Approximations508
ANSWERSAN1
INDEXI1

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