Trigonometry: A Unit Circle Approach, 12th edition
- Michael Sullivan
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Wherever you are in math preparation, Trigonometry: A Unit Circle Approach supports you through your mathematics journey. It offers the high-quality 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 (July 23rd 2024) - Copyright © 2025
ISBN-13: 9780138234997
Subject: Precalculus, College Algebra & Trigonometry
Category: Plane Trigonometry
1. Graphs and Functions
- 1.1 The Distance and Midpoint Formulas
- 1.2 Graphs of Equations in Two Variables; Circles
- 1.3 Functions and Their Graphs
- 1.4 Properties of Functions
- 1.5 Library of Functions; Piecewise-defined Functions
- 1.6 Graphing Techniques: Transformations
- 1.7 One-to-One Functions; Inverse Functions
- Chapter 1 Review, Test, and Projects
2. Trigonometric Functions
- 2.1 Angles, Arc, Length, and Circular Motion
- 2.2 Trigonometric Functions: Unit Circle Approach
- 2.3 Properties of the Trigonometric Functions
- 2.4 Graphs of the Sine and Cosine Functions
- 2.5 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions
- 2.6 Phase Shift; Sinusoidal Curve Fitting
- Chapter 2 Review, Test, and Projects
3. Analytic Trigonometry
- 3.1 The Inverse Sine, Cosine, and Tangent Functions
- 3.2 The Inverse Trigonometric Functions (Continued)
- 3.3 Trigonometric Equations
- 3.4 Trigonometric Identities
- 3.5 Sum and Difference Formulas
- 3.6 Double-angle and Half-angle Formulas
- 3.7 Product-to-Sum and Sum-to-Product Formulas
- Chapter 3 Review, Test, and Projects
4. Applications of Trigonometric Functions
- 4.1 Right Triangle Trigonometry; Applications
- 4.2 The Law of Sines
- 4.3 The Law of Cosines
- 4.4 Area of a Triangle
- 4.5 Simple Harmonic Motion; Damped Motion; Combining Waves
- Chapter 4 Review, Test, and Projects
5. Polar Coordinates; Vectors
- 5.1 Polar Coordinates
- 5.2 Polar Equations and Graphs
- 5.3 The Complex Plane; De Moivre's Theorem
- 5.4 Vectors
- 5.5 The Dot Product
- 5.6 Vectors in Space
- 5.7 The Cross Produc
- Chapter 5 Review, Test, and Projects
6. Analytic Geometry
- 6.1 Conics
- 6.2 The Parabola
- 6.3 The Ellipse
- 6.4 The Hyperbola
- 6.5 Rotation of Axes; General Form of a Conic
- 6.6 Polar Equations of Conics
- 6.7 Plane Curves and Parametric Equations
- Chapter 6 Review, Test, and Projects
7. Exponential and Logarithmic Functions
- 7.1 Exponential Functions
- 7.2 Logarithmic Functions
- 7.3 Properties of Logarithms
- 7.4 Logarithmic and Exponential Equations
- 7.5 Financial Models
- 7.6 Exponential Growth and Decay Models; Newton's Law; Logistic Growth and Decay
- 7.7 Building Exponential, Logarithmic, and Logistic Models from Data
- Chapter 7 Review, Test, and Projects
Appendix A: Review
- A.1 Algebra Essentials
- A.2 Geometry Essentials
- A.3 Factoring Polynomials; Completing the Square
- A.4 Solving Equations
- A.5 Complex Numbers; Quadratic Equations in the Complex Number System
- A.6 Interval Notation; Solving Inequalities
- A.7 nth Roots; Rational Exponents
- A.8 Lines
Appendix B: Graphing Utilities
- B.1 The Viewing Rectangle
- B.2 Using a Graphing Utility to Graph Equations
- B.3 Using a Graphing Utility to Locate Intercepts and Check for Symmetry
- B.4 Using a Graphing Utility to Solve Equations
- B.5 Square Screens
- B.6 Using a Graphing Utility to Graph Inequalities
- B.7 Using a Graphing Utility to Solve Systems of Linear Equations
- B.8 Using a Graphing Utility to Graph a Polar Equation
- B.9 Using a Graphing Utility to Graph Parametric Equations