Algebra & Trigonometry

Cover Page
Chapter Review Features
To the Student
Dedication Page
Title Page
Copyright Page
CONTENTS
Three Distinct Series
Preface to the Instructor
Student Resources
Applications Index
Photo Credits
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 Functions
	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 Review
	Chapter Test
	Chapter 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 Review
	Chapter Test
	Cumulative Review
	Chapter 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; Piecewise-defined Functions
	3.5 Graphing Techniques:Transformations
	3.6 Mathematical Models: Building Functions
	Chapter Review
	Chapter Test
	Cumulative Review
	Chapter Projects
4 Linear and Quadratic Functions
	4.1 Linear Functions and Their Properties
	4.2 Linear Models: Building Linear Functions 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 Review
	Chapter Test
	Cumulative Review
	Chapter Projects
5 Polynomial and Rational Functions
	5.1 Polynomial Functions and Models
	5.2 Properties of Rational Functions
	5.3 The Graph of a Rational Function
	5.4 Polynomial and Rational Inequalities
	5.5 The Real Zeros of a Polynomial Function
	5.6 Complex Zeros; Fundamental Theorem of Algebra
	Chapter Review
	Chapter Test
	Cumulative Review
	Chapter Projects
6 Exponential and Logarithmic Functions
	6.1 Composite Functions
	6.2 One-to-One 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 Review
	Chapter Test
	Cumulative Review
	Chapter Projects
7 Trigonometric Functions
	7.1 Angles and Their Measure
	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 Review
	Chapter Test
	Cumulative Review
	Chapter 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 Double-angle and Half-angle Formulas
	8.7 Product-to-Sum and Sum-to-Product Formulas
	Chapter Review
	Chapter Test
	Cumulative Review
	Chapter 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 Review
	Chapter Test
	Cumulative Review
	Chapter 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 Review
	Chapter Test
	Cumulative Review
	Chapter 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 Review
	Chapter Test
	Cumulative Review
	Chapter 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 Review
	Chapter Test
	Cumulative Review
	Chapter 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 Review
	Chapter Test
	Cumulative Review
	Chapter Projects
14 Counting and Probability
	14.1 Counting
	14.2 Permutations and Combinations
	14.3 Probability
	Chapter Review
	Chapter Test
	Cumulative Review
	Chapter Projects
APPENDIX: Graphing Utilities
	1 The Viewing Rectangle
	2 Using a Graphing Utility to Graph Equations
	3 Using a Graphing Utility to Locate Intercepts and Check for Symmetry
	4 Using a Graphing Utility to Solve Equations
	5 Square Screens
	6 Using a Graphing Utility to Graph Inequalities
	7 Using a Graphing Utility to Solve Systems of Linear Equations
	8 Using a Graphing Utility to Graph a Polar Equation
	9 Using a Graphing Utility to Graph Parametric Equations
Answers
INDEX
Prepare for Class...
Practice...
Info Sheets