# Precalculus: A Right Triangle Approach, Books a la Carte Edition, 4th edition

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Effectively emphasizes both concept development and real-life applications

The Ratti/McWaters/Skrzypek series draws from the authors’ extensive classroom experience to connect concepts while maintaining course rigor. Just-in-time review throughout ** Precalculus: A Right Triangle Approach, 4th Edition** ensures that all students are brought to the same level before being introduced to new concepts. Numerous applications are used to help students apply the concepts and skills they learn in college algebra and trigonometry to other courses (including the physical and biological sciences, engineering, economics, and to on-the-job and everyday problem solving).

Students are given ample opportunities to think about important mathematical ideas and to practice and apply algebraic skills. Because mathematical concepts are developed thoroughly and with clearly defined terminology, students see the “why” behind those concepts–paving the way for a deeper understanding, better retention, less reliance on rote memorization, and ultimately more success.

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0134851013 / 9780134851013 Precalculus: A Right Triangle Approach Plus MyLab Math — Access Card Package, 4/e

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0134860284 / 9780134860282 MyLab Math with Pearson eText - Standalone Access Card - for Precalculus: A Right Triangle Approach, 4/e

0134696468 / 9780134696461 Precalculus: A Right Triangle Approach, 4/e

## Table of contents

P. BASIC CONCEPTS OF ALGEBRA

P.1 The Real Numbers and Their Properties

P.2 Integer Exponents and Scientific Notation

P.3 Polynomials

P.4 Factoring Polynomials

P.5 Rational Expressions

P.6 Rational Exponents and Radicals

Chapter P Review and Tests

Review Exercises

Practice Test

1. EQUATIONS AND INEQUALITIES

1.1 Linear Equations in One Variable

1.2 Applications of Linear Equations: Modeling

1.3 Quadratic Equations

1.4 Complex Numbers: Quadratic Equations with Complex Solutions

1.5 Solving Other Types of Equations

1.6 Inequalities

1.7 Equations and Inequalities Involving Absolute Value

Chapter 1 Review and Tests

Review Exercises

Practice Test A

Practice Test B

2. GRAPHS AND FUNCTIONS

2.1 The Coordinate Plane

2.2 Graphs of Equations

2.3 Lines

2.4 Functions

2.5 Properties of Functions

2.6 A Library of Functions

2.7 Transformations of Functions

2.8 Combining Functions; Composite Functions

2.9 Inverse Functions

Chapter 2 Review and Tests

Review Exercises

Practice Test A

Practice Test B

Cumulative Review Exercises Chapters P—2

3. POLYNOMIAL AND RATIONAL FUNCTIONS

3.1 Quadratic Functions

3.2 Polynomial Functions

3.3 Dividing Polynomials

3.4 The Real Zeros of a Polynomial Function

3.5 The Complex Zeros of a Polynomial Function

3.6 Rational Functions

3.7 Variation

Chapter 3 Review and Tests

Review Exercises

Practice Test A

Practice Test B

Cumulative Review Exercises Chapters P—3

4. EXPONENTIAL AND LOGARITHMIC FUNCTIONS

4.1 Exponential Functions

4.2 Logarithmic Functions

4.3 Rules of Logarithms

4.4 Exponential and Logarithmic Equations and Inequalities

4.5 Logarithmic Scales; Modeling

Chapter 4 Review and Tests

Review Exercises

Practice Test A

Practice Test B

Cumulative Review Exercises Chapters P—4

5. TRIGONOMETRIC FUNCTIONS

5.1 Angles and Their Measure

5.2 Right-Triangle Trigonometry

5.3 Trigonometric Functions of Any Angle; The Unit Circle

5.4 Graphs of the Sine and Cosine Functions

5.5 Graphs of the Other Trigonometric Functions

5.6 Inverse Trigonometric Functions

Chapter 5 Review and Tests

Review Exercises

Practice Test A

Practice Test B

Cumulative Review Exercises Chapters P—5

6. TRIGONOMETRIC IDENTITIES AND EQUATIONS

6.1 Trigonometric Identities

6.2 Sum and Difference Formulas

6.3 Double-Angle and Half-Angle Formulas

6.4 Product-to-Sum and Sum-to-Product Formulas

6.5 Trigonometric Equations I

6.6 Trigonometric Equations II

Chapter 6 Review and Tests

Review Exercises

Practice Test A

Practice Test B

Cumulative Review Exercises Chapters P—6

7. APPLICATIONS OF TRIGONOMETRIC FUNCTIONS

7.1 The Law of Sines

7.2 The Law of Cosines

7.3 Areas of Polygons Using Trigonometry

7.4 Vectors

7.5 The Dot Product 745

7.6 Polar Coordinates 756

7.7 Polar Form of Complex Numbers; DeMoivre’s Theorem

Chapter 7 Review and Tests

Review Exercises

Practice Test A

Practice Test B

Cumulative Review Exercises Chapters P—7

8. SYSTEMS OF EQUATIONS AND INEQUALITIES

8.1 Systems of Linear Equations in Two Variables

8.2 Systems of Linear Equations in Three Variables

8.3 Partial-Fraction Decomposition

8.4 Systems of Nonlinear Equations

8.5 Systems of Inequalities

8.6 Linear Programming

Chapter 8 Review and Tests

Review Exercises

Practice Test A

Practice Test B

Cumulative Review Exercises Chapters P—8

9. MATRICES AND DETERMINANTS

9.1 Matrices and Systems of Equations

9.2 Matrix Algebra

9.3 The Matrix Inverse

9.4 Determinants and Cramer’s Rule

Chapter 9 Review and Tests

Review Exercises

Practice Test A

Practice Test B

Cumulative Review Exercises Chapters P—9

10. CONIC SECTIONS

10.1 Conic Sections: Overview

10.2 The Parabola

10.3 The Ellipse

10.4 The Hyperbola

Chapter 10 Review and Tests

Review Exercises

Practice Test A

Practice Test B

Cumulative Review Exercises Chapters P—10

11. FURTHER TOPICS IN ALGEBRA

11.1 Sequences and Series

11.2 Arithmetic Sequences; Partial Sums

11.3 Geometric Sequences and Series

11.4 Mathematical Induction

11.5 The Binomial Theorem

11.6 Counting Principles

11.7 Probability

Chapter 11 Review and Tests

Review Exercises

Practice Test A

Practice Test B

Cumulative Review Exercises Chapters P—11

Answers to Selected Exercises

Credits

Index

Published by Pearson (February 19th 2018) - Copyright © 2019