Algebra and Trigonometry, 12th edition
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Overview
Wherever you are in math preparation, Algebra and Trigonometry supports you through your mathematics journey. It offers the highquality exercises that distinguish Sullivan texts, with his proven “Prepare, practice, review” method: prepare for class, practice with homework, and review concepts.
The 12th Edition adds many new and revised exercises and examples, adds new learning tips in margin notes, updates all graphing utility content and images, and much more.
Published by Pearson (January 18th 2024)  Copyright © 2025
ISBN13: 9780138251550
Subject: Precalculus, College Algebra & Trigonometry
Category: Algebra & Trigonometry
Overview
Applications Index
R. Review
 R.1 Real Numbers
 R.2 Algebra Essentials
 R.3 Geometry Essentials
 R.4 Polynomials
 R.5 Factoring Polynomials
 R.6 Synthetic Division
 R.7 Rational Expressions
 R.8 nth Roots; Rational Exponents
1. Equations and Inequalities
 1.1 Linear Equations
 1.2 Quadratic Equations
 1.3 Complex Numbers; Quadratic Equations in the Complex Number System
 1.4 Radical Equations; Equations Quadratic in Form; Factorable Equations
 1.5 Solving Inequalities
 1.6 Equations and Inequalities Involving Absolute Value
 1.7 Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Job Applications
 Chapter 1 Review, Test, and Projects
2. Graphs
 2.1 The Distance and Midpoint Formulas
 2.2 Graphs of Equations in Two Variables; Intercepts; Symmetry
 2.3 Lines
 2.4 Circles
 2.5 Variation
 Chapter 2 Review, Test, Cumulative Review, and Project
3. Functions and Their Graphs
 3.1 Functions
 3.2 The Graph of a Function
 3.3 Properties of Functions
 3.4 Library of Functions; Piecewisedefined Functions
 3.5 Graphing Techniques: Transformations
 3.6 Mathematical Models: Building Functions
 Chapter 3 Review, Test, Cumulative Review, and Projects
4. Linear and Quadratic Functions
 4.1 Properties of Linear Functions and Linear Models
 4.2 Building Linear Models from Data
 4.3 Quadratic Functions and Their Properties
 4.4 Build Quadratic Models from Verbal Descriptions and from Data
 4.5 Inequalities Involving Quadratic Functions
 Chapter 4 Review, Test, Cumulative Review, and Projects
5. Polynomial and Rational Functions
 5.1 Polynomial Functions
 5.2 Graphing Polynomials Functions; Models
 5.3 Properties of Rational Functions
 5.4 The Graph of a Rational Function
 5.5 Polynomial and Rational Inequalities
 5.6 The Real Zeros of a Polynomial Function
 5.7 Complex Zeros; Fundamental Theorem of Algebra
 Chapter 5 Review, Test, Cumulative Review, and Projects
6. Exponential and Logarithmic Functions
 6.1 Composite Functions
 6.2 OnetoOne Functions; Inverse Functions
 6.3 Exponential Functions
 6.4 Logarithmic Functions
 6.5 Properties of Logarithms
 6.6 Logarithmic and Exponential Equations
 6.7 Financial Models
 6.8 Exponential Growth and Decay Models; Newton's Law; Logistic Growth and Decay Models
 6.9 Building Exponential, Logarithmic, and Logistic Models from Data
 Chapter 6 Review, Test, Cumulative Review, and Projects
7. Trigonometric Functions
 7.1 Angles, Arc, Length, and Circular Motion
 7.2 Right Triangle Trigonometry
 7.3 Computing the Values of Trigonometric Functions of Acute Angles
 7.4 Trigonometric Functions of Any Angle
 7.5 Unit Circle Approach; Properties of the Trigonometric Functions
 7.6 Graphs of the Sine and Cosine Functions
 7.7 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions
 7.8 Phase Shift; Sinusoidal Curve Fitting
 Chapter 7 Review, Test, Cumulative Review, and Projects
8. Analytic Trigonometry
 8.1 The Inverse Sine, Cosine, and Tangent Functions
 8.2 The Inverse Trigonometric Functions (Continued)
 8.3 Trigonometric Equations
 8.4 Trigonometric Identities
 8.5 Sum and Difference Formulas
 8.6 Doubleangle and Halfangle Formulas
 8.7 ProducttoSum and SumtoProduct Formulas
 Chapter 8 Review, Test, Cumulative Review, and Projects
9. Applications of Trigonometric Functions
 9.1 Applications Involving Right Triangles
 9.2 The Law of Sines
 9.3 The Law of Cosines
 9.4 Area of a Triangle
 9.5 Simple Harmonic Motion; Damped Motion; Combining Waves
 Chapter 9 Review, Test, Cumulative Revivew, and Projects
10. Polar Coordinates; Vectors
 10.1 Polar Coordinates
 10.2 Polar Equations and Graphs
 10.3 The Complex Plane; De Moivre's Theorem
 10.4 Vectors
 10.5 The Dot Product
 Chapter 10 Review, Test, Cumulative Review, and Projects
11. Analytic Geometry
 11.1 Conics
 11.2 The Parabola
 11.3 The Ellipse
 11.4 The Hyperbola
 11.5 Rotation of Axes; General Form of a Conic
 11.6 Polar Equations of Conics
 11.7 Plane Curves and Parametric Equations
 Chapter 11 Review, Test, Cumulative Review, and Projects
12. Systems of Equations and Inequalities
 12.1 Systems of Linear Equations: Substitution and Elimination
 12.2 Systems of Linear Equations: Matrices
 12.3 Systems of Linear Equations: Determinants
 12.4 Matrix Algebra
 12.5 Partial Fraction Decomposition
 12.6 Systems of Nonlinear Equations
 12.7 Systems of Inequalities
 12.8 Linear Programming
 Chapter 12 Review, Test, Cumulative Review, and Projects
13. Sequences; Induction; the Binomial Theorem
 13.1 Sequences
 13.2 Arithmetic Sequences
 13.3 Geometric Sequences; Geometric Series
 13.4 Mathematical Induction
 13.5 The Binomial Theorem
 Chapter 13 Review, Test, Cumulative Review, and Projects
14. Counting and Probability
 14.1 Counting
 14.2 Permutations and Combinations
 14.3 Probability
 Chapter 14 Review, Test, Cumulative Review, and Projects
Appendix: Graphing Utilities
 A.1 The Viewing Rectangle
 A.2 Using a Graphing Utility to Graph Equations
 A.3 Using a Graphing Utility to Locate Intercepts and Check for Symmetry
 A.4 Using a Graphing Utility to Solve Equations
 A.5 Square Screens
 A.6 Using a Graphing Utility to Graph Inequalities
 A.7 Using a Graphing Utility to Solve Systems of Linear Equations
 A.8 Using a Graphing Utility to Graph a Polar Equation
 A.9 Using a Graphing Utility to Graph Parametric Equations
Answers
Credits
Index
Your questions answered
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