Precalculus: A Right Triangle Approach, 5th Edition

✍ Scribed by Ratti, McWaters, Skrzypek, Bernards, Fresh

• Publisher: Pearson
• Year: 2022
• Tongue: English
• Leaves: 1181
• Edition: 5
• Category: Library

✦ Synopsis

Precalculus: A Right Triangle Approach (5th Edition)

✦ Table of Contents

Foreword
Contents
Preface
Pearson's Commitment to Diversity, Equity, and Inclusion
Dedication
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
Chapter P Review Exercises
Chapter P Practice Test
CHAPTER 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
Key Ideas At a Glance
Chapter 1 Review and Tests
Chapter 1 Review Exercises
Chapter 1 Practice Test A
CHAPTER 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
Key Ideas At a Glance
Chapter 2 Review and Tests
Chapter 2 Review Exercises
Chapter 2 Practice Test A
Chapter 2 Cumulative Review Exercises Chapters P–2
CHAPTER 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
Key Ideas At a Glance
Chapter 3 Review and Tests
Chapter 3 Review Exercises
Chapter 3 Practice Test A
Chapter 3 Cumulative Review Exercises Chapters P–3
CHAPTER 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
Key Ideas At a Glance
Chapter 4 Review and Tests
Chapter 4 Review Exercises
Chapter 4 Practice Test A
Chapter 4 Cumulative Review Exercises Chapters P–4
CHAPTER 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
Key Ideas At a Glance
Chapter 5 Review and Tests
Chapter 5 Review Exercises
Chapter 5 Practice Test A
Chapter 5 Cumulative Review Exercises Chapters P–5
CHAPTER 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
Key Ideas At a Glance
Chapter 6 Review and Tests
Chapter 6 Review Exercises
Chapter 6 Practice Test A
Chapter 6 Cumulative Review Exercises Chapters P–6
CHAPTER 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
7.6: Polar Coordinates
7.7: Polar Form of Complex Numbers; DeMoivre's Theorem
Key Ideas At a Glance
Chapter 7 Review and Tests
Chapter 7 Review Exercises
Chapter 7 Practice Test A
Chapter 7 Cumulative Review Exercises Chapters P–7
CHAPTER 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
Key Ideas At a Glance
Chapter 8 Review and Tests
Chapter 8 Review Exercises
Chapter 8 Practice Test A
Chapter 8 Cumulative Review Exercises Chapters P–8
CHAPTER 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
Key Ideas At a Glance
Chapter 9 Review and Tests
Chapter 9 Review Exercises
Chapter 9 Practice Test A
Chapter 9 Cumulative Review Exercises Chapters P–9
CHAPTER 10: Conic Sections
10.1: Conic Sections: Overview
10.2: The Parabola
10.3: The Ellipse
10.4: The Hyperbola
Key Ideas At a Glance
Chapter 10 Review and Tests
Chapter 10 Review Exercises
Chapter 10 Practice Test A
Chapter 10 Cumulative Review Exercises Chapters P–10
CHAPTER 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
Key Ideas At a Glance
Chapter 11 Review and Tests
Chapter 11 Review Exercises
Chapter 11 Practice Test A
Chapter 11 Cumulative Review Exercises Chapters P–11
Answers
Credits
Index
Algebra—Formulas and Definitions
Trigonometry
Functions/Graphs
Geometry—Formulas