College Algebra and Trigonometry

College Algebra and Trigonometry, Second Edition provides a comprehensive approach to the fundamental concepts and techniques of college algebra and trigonometry.

The book incorporates improvements from the previous edition to provide a better learning experience. It contains chapters that are devoted to various mathematical concepts, such as the real number system, the theory of polynomial equations, trigonometric functions, and the geometric definition of each conic section. Progress checks, warnings, and features are inserted. Every chapter contains a summary, including terms and symbols with appropriate page references; key ideas for review to stress the concepts; review exercises to provide additional practice; and progress tests to provide self-evaluation and reinforcement. The answers to all Review Exercises and Progress Tests appear in the back of the book.

College students will find the book very useful and invaluable.

Preface

Acknowledgments

To the Student

Chapter 1 The Foundations of Algebra

1.1 The Real Number System

1.2 The Real Number Line

1.3 Algebraic Expressions; Polynomials

1.4 Factoring

1.5 Rational Expressions

1.6 Integer Exponents

1.7 Rational Exponents and Radicals

1.8 Complex Numbers

Chapter 2 Equations and Inequalities

2.1 Linear Equations in One Unknown

2.2 Applications

2.3 Linear Inequalities

2.4 Absolute Value in Equations and Inequalities

2.5 The Quadratic Equation

2.6 Applications of Quadratic Equations

2.7 Second-Degree Inequalities

Chapter 3 Functions

3.1 The Rectangular Coordinate System

3.2 Functions and Function Notation

3.3 Graphs of Functions

3.4 Linear Functions

3.5 Direct and Inverse Variation (Optional)

3.6 Combining Functions; Inverse Functions

Chapter 4 Exponential and Logarithmic Functions

4.1 Exponential Functions

4.2 Logarithmic Functions

4.3 Fundamental Properties of Logarithms

4.4 Computing with Logarithms (Optional)

4.5 Exponential and Logarithmic Equations

Chapter 5 The Trigonometric Functions

5.0 Review of Geometry

5.1 Angles and Their Measurement

5.2 The Sine, Cosine, and Tangent Functions

5.3 Values of Sine, Cosine, and Tangent

5.4 Graphs of Sine, Cosine, and Tangent

5.5 Secant, Cosecant, and Cotangent

5.6 The Inverse Trigonometric Functions

Chapter 6 Trigonometry: Measuring Triangles

6.1 Right Triangle Trigonometry

6.2 Applications of Right Triangle Trigonometry

6.3 Law