Precalculus: Concepts Through Functions, A Right Triangle Approach to Trigonometry, 5th edition
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Overview
Precalculus: Concepts Through Functions, A Right Triangle Approach to Trigonometry introduces functions at the beginning of the text, then introduces and develops a new function in every chapter. Known for connecting with students, esteemed authors Sullivan and Sullivan focus on the fundamentals (preparing for class, practicing with homework, and reviewing key concepts), which encourages you to master basic skills and develop the conceptual understanding needed for this and future courses. Graphing utility coverage is optional and can be adjusted for different course needs. The 5th Edition offers abundant new and updated features including new Challenge Problems, new Interactive Figure Exercises, and much more.
Published by Pearson (November 20th 2023)  Copyright © 2024
ISBN13: 9780137979462
Subject: Precalculus, College Algebra & Trigonometry
Category: Precalculus
Overview
Applications Index
F. Foundations: A Prelude to Functions
 F.1 The Distance and Midpoint Formulas
 F.2 Graphs of Equations in Two Variables; Intercepts; Symmetry
 F.3 Lines
 F.4 Circles
 Chapter Project
1. Functions and Their Graphs
 1.1 Functions
 1.2 The Graph of a Function
 1.3 Properties of Functions
 1.4 Library of Functions; Piecewisedefined Functions
 1.5 Graphing Techniques: Transformations
 1.6 Building Mathematical Models from Verbal Descriptions
 1.7 Building Mathematical Models Using Variation
 Chapter Review
 Chapter Test
 Chapter Projects
2. Linear and Quadratic Functions
 2.1 Properties of Linear Functions and Linear Models
 2.2 Building Linear Models from Data
 2.3 Quadratic Functions and Their Zeros
 2.4 Properties of Quadratic Functions
 2.5 Inequalities Involving Quadratic Functions
 2.6 Building Quadratic Models from Verbal Descriptions and from Data
 2.7 Complex Zeros of a Quadratic Function
 2.8 Equations and Inequalities Involving the Absolute Value Function
 Chapter Review
 Chapter Test
 Cumulative Review
 Chapter Projects
3. Polynomial and Rational Functions
 3.1 Polynomial Functions
 3.2 Graphing Polynomial Functions; Models
 3.3 The Real Zeros of a Polynomial Function
 3.4 Complex Zeros; Fundamental Theorem of Algebra
 3.5 Properties of Rational Functions
 3.6 The Graph of a Rational Function
 3.7 Polynomial and Rational Inequalities
 Chapter Review
 Chapter Test
 Cumulative Review
 Chapter Projects
4. Exponential and Logarithmic Functions
 4.1 Composite Functions
 4.2 OnetoOne Functions; Inverse Functions
 4.3 Exponential Functions
 4.4 Logarithmic Functions
 4.5 Properties of Logarithms
 4.6 Logarithmic and Exponential Equations
 4.7 Financial Models
 4.8 Exponential Growth and Decay; Newton's Law; Logistic Growth and Decay Models
 4.9 Building Exponential, Logarithmic, and Logistic Models from Data
 Chapter Review
 Chapter Test
 Cumulative Review
 Chapter Projects
5. Trigonometric Functions
 5.1 Angles, Arc Length, and Circular Motion
 5.2 Right Triangle Trigonometry
 5.3 Computing the Values of Trigonometric Functions of Acute Angles
 5.4 Trigonometric Functions of Any Angle
 5.5 Unit Circle Approach; Properties of the Trigonometric Functions
 5.6 Graphs of the Sine and Cosine Functions
 5.7 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions
 5.8 Phase Shift; Sinusoidal Curve Fitting
 Chapter Review
 Chapter Test
 Cumulative Review
 Chapter Projects
6. Analytic Trigonometry
 6.1 The Inverse Sine, Cosine, and Tangent Functions
 6.2 The Inverse Trigonometric Functions (Continued)
 6.3 Trigonometric Equations
 6.4 Trigonometric Identities
 6.5 Sum and Difference Formulas
 6.6 Doubleangle and Halfangle Formulas
 6.7 ProducttoSum and SumtoProduct Formulas
 Chapter Review
 Chapter Test
 Cumulative Review
 Chapter Projects
7. Applications of Trigonometric Functions
 7.1 Applications Involving Right Triangles
 7.2 The Law of Sines
 7.3 The Law of Cosines
 7.4 Area of a Triangle
 7.5 Simple Harmonic Motion; Damped Motion; Combining Waves
 Chapter Review
 Chapter Test
 Cumulative Review
 Chapter Projects
8. Polar Coordinates; Vectors
 8.1 Polar Coordinates
 8.2 Polar Equations and Graphs
 8.3 The Complex Plane; DeMoivre's Theorem
 8.4 Vectors
 8.5 The Dot Product
 8.6 Vectors in Space
 8.7 The Cross Product
 Chapter Review
 Chapter Test
 Cumulative Review
 Chapter Projects
9. Analytic Geometry
 9.1 Conics
 9.2 The Parabola
 9.3 The Ellipse
 9.4 The Hyperbola
 9.5 Rotation of Axes; General Form of a Conic
 9.6 Polar Equations of Conics
 9.7 Plane Curves and Parametric Equations
 Chapter Review
 Chapter Test
 Cumulative Review
 Chapter Projects
10. Systems of Equations and Inequalities
 10.1 Systems of Linear Equations: Substitution and Elimination
 10.2 Systems of Linear Equations: Matrices
 10.3 Systems of Linear Equations: Determinants
 10.4 Matrix Algebra
 10.5 Partial Fraction Decomposition
 10.6 Systems of Nonlinear Equations
 10.7 Systems of Inequalities
 10.8 Linear Programming
 Chapter Review
 Chapter Test
 Cumulative Review
 Chapter Projects
11. Sequences; Induction; the Binomial Theorem
 11.1 Sequences
 11.2 Arithmetic Sequences
 11.3 Geometric Sequences; Geometric Series
 11.4 Mathematical Induction
 11.5 The Binomial Theorem
 Chapter Review
 Chapter Test
 Cumulative Review
 Chapter Projects
12. Counting and Probability
 12.1 Counting
 12.2 Permutations and Combinations
 12.3 Probability
 Chapter Review
 Chapter Test
 Cumulative Review
 Chapter Projects
13. A Preview of Calculus: The Limit, Derivative, and Integral of a Function
 13.1 Investigating Limits Using Tables and Graphs
 13.2 Algebra Techniques for Finding Limits
 13.3 Onesided Limits; Continuity
 13.4 The Tangent Problem; The Derivative
 13.5 The Area Problem; The Integral
 Chapter Review
 Chapter Test
 Chapter Projects
Appendix A. Review
 A.1 Algebra Essentials
 A.2 Geometry Essentials
 A.3 Polynomials
 A.4 Factoring Polynomials
 A.5 Synthetic Division
 A.6 Rational Expressions
 A.7 nth Roots; Rational Exponents
 A.8 Solving Equations
 A.9 Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Jobs
 A.10 Interval Notation; Solving Inequalities
 A.11 Complex Numbers
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
Answers
Index
Your questions answered
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