9780618052868

Trigonometry

by
  • ISBN13:

    9780618052868

  • ISBN10:

    0618052860

  • Edition: 5th
  • Format: Hardcover
  • Copyright: 8/2/2000
  • Publisher: Brooks Cole
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Supplemental Materials

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  • The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.

Table of Contents

A Word from the Authors (Preface) vi
Features Highlights viii
An Introduction to Graphing Utilities xv
Prerequisites
1(117)
Real Numbers
2(10)
Solving Equations
12(13)
The Cartesian Plane and Graphs of Equations
25(13)
Linear Equations in Two Variables
38(15)
Functions
53(14)
Analyzing Graphs of Functions
67(13)
Shifting, Reflecting, and Stretching Graphs
80(11)
Combinations of Functions
91(8)
Inverse Functions
99(19)
Chapter Summary
109(2)
Review Exercises
111(5)
Chapter Project: A Graphical Approach to Maximization
116(1)
Chapter Test
117(1)
Trigonometry
118(90)
Radian and Degree Measure
120(11)
Trigonometric Functions: The Unit Circle
131(7)
Right Triangle Trigonometry
138(11)
Trigonometric Functions of Any Angle
149(9)
Graphs of Sine and Cosine Functions
158(11)
Graphs of Other Trigonometric Functions
169(11)
Inverse Trigonometric Functions
180(10)
Applications and Models
190(18)
Chapter Summary
201(1)
Review Exercises
202(4)
Chapter Project: Analyzing a Graph
206(1)
Chapter Test
207(1)
Analytic Trigonometry
208(52)
Using Fundamental Identities
210(8)
Verifying Trigonometric Identities
218(7)
Solving Trigonometric Equations
225(11)
Sum and Difference Formulas
236(7)
Multiple-Angle and Product-to-Sum Formulas
243(17)
Chapter Summary
254(1)
Review Exercises
255(3)
Chapter Project: Projectile Motion
258(1)
Chapter Test
259(1)
Additional Topics in Trigonometry
260(48)
Law of Sines
262(9)
Law of Cosines
271(8)
Vectors in the Plane
279(13)
Vectors and Dot Products
292(16)
Chapter Summary
300(1)
Review Exercises
301(3)
Chapter Project: Adding Vectors Graphically
304(1)
Chapter Test
305(1)
Cumulative Test: Chapters 1-3
306(2)
Complex Numbers
308(34)
Complex Numbers
310(7)
Complex Solutions of Equations
317(7)
Trigonometric Form of a Complex Number
324(7)
DeMoivre's Theorem
331(11)
Chapter Summary
337(1)
Review Exercises
338(2)
Chapter Project: Using a Graphing Utility to Create Fractals
340(1)
Chapter Test
341(1)
Exponential and Logarithmic Functions
342(62)
Exponential Functions and Their Graphs
344(12)
Logarithmic Functions and Their Graphs
356(11)
Properties of Logarithms
367(6)
Exponential and Logarithmic Equations
373(11)
Exponential and Logarithmic Models
384(20)
Chapter Summary
397(1)
Review Exercises
398(4)
Chapter Project: Graphical Approach to Compound Interest
402(1)
Chapter Test
403(1)
Topics in Analytic Geometry
404(2)
Lines
406(7)
Introduction to Conics: Parabolas
413(8)
Ellipses
422(9)
Hyperbolas
431(9)
Rotation of Conics
440(8)
Parametric Equations
448(8)
Polar Coordinates
456(6)
Graphs of Polar Equations
462(8)
Polar Equations of Conics
470(7)
Chapter Summary
477(1)
Review Exercises
478(4)
Chapter Project: Polar, Rectangular, and Parametric Forms
482(1)
Chapter Test
483(1)
Cumulative Test: Chapters 4-6
484
Appendices
Appendix A Proofs of Selected Theorems
A1
Appendix B Concepts in Statistics
A12
B.1 Representing Data
A12
B.2 Measures of Central Tendency and Dispersion
A16
B.3 Least Squares Regression
A25
Answers to Odd-Numbered Exercises and Tests A29
Index of Applications A111
Index A113

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