## Description

The classic edition of Algebra and Trigonometry with Analytic Geometry is a special version of the twelfth edition of the same title. It has been written for professors seeking to teach a traditional course which requires only a scientific calculator. Both editions improve upon the eleventh edition in several ways.

This edition includes over 120 new or revised examples and exercises, many of these resulting from suggestions of users and reviewers of the eleventh edition. All have been incorporated without sacrificing the mathe- matical soundness that has been paramount to the success of this text.

Titled for easy reference, all examples provide detailed solutions of problems similar to those that appear in exercise sets. Many examples include graphs, charts, or tables to help the student understand procedures and solutions.

To arouse student interest and to help students relate the exer- cises to current real-life situations, applied exercises have been titled. One look at the Index of Applications in the back of the book reveals the wide array of topics. Many professors have indicated that the applications constitute one of the strongest features of the text.

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• PREFACE
CHAPTER 1: FUNDAMENTAL CONCEPTS OF ALGEBRA
1.1: Real Numbers
1.3: Algebraic Expressions
1.4: Fractional Expressions
CHAPTER 1 REVIEW EXERCISES
CHAPTER 1 DISCUSSION EXERCISES
CHAPTER 2: EQUATIONS AND INEQUALITIES
2.1: Equations
2.2: Applied Problems
2.4: Complex Numbers
2.5: Other Types of Equations
2.6: Inequalities
2.7: More on Inequalities

CHAPTER 2 REVIEW EXERCISES
CHAPTER 2 DISCUSSION EXERCISES

CHAPTER 3: FUNCTIONS AND GRAPHS
3.1: Rectangular Coordinate Systems
3.2: Graphs of Equations
3.3: Lines
3.4: Definition of Function
3.5: Graphs of Functions
3.7: Operations on Functions
CHAPTER 3 REVIEW EXERCISES
CHAPTER 3 DISCUSSION EXERCISES

CHAPTER 4: POLYNOMIAL AND RATIONAL FUNCTIONS
4.1: Polynomial Functions of Degree Greater Than 2
4.2: Properties of Division
4.3: Zeros of Polynomials
4.4: Complex and Rational Zeros of Polynomials
4.5: Rational Functions
4.6: Variation
CHAPTER 4 REVIEW EXERCISES
CHAPTER 4 DISCUSSION EXERCISES

CHAPTER 5: INVERSE, EXPONENTIAL, AND LOGARITHMIC FUNCTIONS
5.1: Inverse Functions
5.2: Exponential Functions
5.3: The Natural Exponential Function
5.4: Logarithmic Functions
5.5: Properties of Logarithms
5.6: Exponential and Logarithmic Equations
CHAPTER 5 REVIEW EXERCISES
CHAPTER 5 DISCUSSION EXERCISES

CHAPTER 6: THE TRIGONOMETRIC FUNCTIONS
6.1: Angles
6.2: Trigonometric Functions of Angles
6.3: Trigonometric Functions of Real Numbers
6.4: Values of the Trigonometric Functions
6.5: Trigonometric Graphs
6.7: Applied Problems
CHAPTER 6 REVIEW EXERCISES
CHAPTER 6 DISCUSSION EXERCISES

CHAPTER 7: ANALYTIC TRIGONOMETRY
7.1: Verifying Trigonometric Identities
7.2: Trigonometric Equations
7.3: The Addition and Subtraction Formulas
7.4: Multiple-Angle Formulas
7.5: Product-to-Sum and Sum-to-Product Formulas
7.6: The Inverse Trigonometric Functions
CHAPTER 7 REVIEW EXERCISES
CHAPTER 7 DISCUSSION EXERCISES

CHAPTER 8: APPLICATIONS OF TRIGONOMETRY
8.1: The Law of Sines
8.2: The Law of Cosines
8.3: Vectors
8.4: The Dot Product
8.5: Trigonometric Form for Complex Numbers
8.6: De Moivres Theorem and nth Roots of Complex Numbers
CHAPTER 8 REVIEW EXERCISES
CHAPTER 8 DISCUSSION EXERCISES

CHAPTER 9: SYSTEMS OF EQUATIONS AND INEQUALITIES
9.1: Systems of Equations
9.2: Systems of Linear Equations in Two Variables
9.3: Systems of Inequalities
9.4: Linear Programming
9.5: Systems of Linear Equations in More Than Two Variables
9.6: The Algebra of Matrices
9.7: The Inverse of a Matrix
9.8: Determinants
9.9: Properties of Determinants
9.10: Partial Fractions
CHAPTER 9 REVIEW EXERCISES
CHAPTER 9 DISCUSSION EXERCISES

CHAPTER 10: SEQUENCES, SERIES, AND PROBABILITY
10.1: Infinite Sequences and Summation Notation
10.2: Arithmetic Sequences
10.3: Geometric Sequences
10.4: Mathematical Induction
10.5: The Binomial Theorem
10.6: Permutations
10.7: Distinguishable Permutations and Combinations
10.8: Probability
CHAPTER 10 REVIEW EXERCISES
CHAPTER 10 DISCUSSION EXERCISES

CHAPTER 11: TOPICS FROM ANALYTIC GEOMETRY
11.1: Parabolas
11.2: Ellipses
11.3: Hyperbolas
11.4: Plane Curves and Parametric Equations
11.5: Polar Coordinates
11.6: Polar Equations of Conics
CHAPTER 11 REVIEW EXERCISES
CHAPTER 11 DISCUSSION EXERCISES

APPENDIXES
APPENDIX I: Common Graphs and Their Equations
APPENDIX II: A Summary of Graph Transformations
APPENDIX III: Graphs of Trigonometric Functions and Their Inverses
APPENDIX IV: Values of the Trigonometric Functions of Special Angles on a Unit Circle
INDEX OF APPLICATIONS
INDEX
• Citation
• Full Title: Algebra and Trigonometry with Analytic Geometry
• Author/s:
• ISBN-10: 0495559717
• ISBN-13: 9780495559719
• Edition: 12th Edition
• Publication date: 2009
• Topic: Math
• Subtopic: Algebra | Geometry | Trigonometry
• File Type: eBook
• Idioma: English

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