Algebra and Trigonometry

Cover
A Brief Guide to Getting the Most from This Book
	1 Read the Book
	2 Work the Problems
	3 Review for Quizzes and Tests
Title Page
Copyright
Contents
Preface
To the Student
Pearson’s Commitment to Diversity, Equity, and Inclusion
Applications Index
Chapter P. Fundamental Concepts of Algebra
	P.1 Algebraic Expressions, Mathematical Models, and Real Numbers
	P.2 Exponents and Scientific Notation
	P.3 Radicals and Rational Exponents
	P.4 Polynomials
	Mid-Chapter Check Point
	P.5 Factoring Polynomials
	P.6 Rational Expressions
	Summary, Review, and Test
	Review Exercises
	Chapter P Test
Chapter 1. Equations and Inequalities
	1.1 Graphs and Graphing Utilities
	1.2 Linear Equations and Rational Equations
	1.3 Models and Applications
	1.4 Complex Numbers
	1.5 Quadratic Equations
	Mid-Chapter Check Point
	1.6 Other Types of Equations
	1.7 Linear Inequalities and Absolute Value Inequalities
	Summary, Review, and Test
	Review Exercises
	Chapter 1 Test
Chapter 2. Functions and Graphs
	2.1 Basics of Functions and Their Graphs
	2.2 More on Functions and Their Graphs
	2.3 Linear Functions and Slope
	2.4 More on Slope
	Mid-Chapter Check Point
	2.5 Transformations of Functions
	2.6 Combinations of Functions; Composite Functions
	2.7 Inverse Functions
	2.8 Distance and Midpoint Formulas; Circles
	Summary, Review, and Test
	Review Exercises
	Chapter 2 Test
	Cumulative Review Exercises (Chapters 1–2)
Chapter 3. Polynomial and Rational Functions
	3.1 Quadratic Functions
	3.2 Polynomial Functions and Their Graphs
	3.3 Dividing Polynomials; Remainder and Factor Theorems
	3.4 Zeros of Polynomial Functions
	Mid-Chapter Check Point
	3.5 Rational Functions and Their Graphs
	3.6 Polynomial and Rational Inequalities
	3.7 Modeling Using Variation
	Summary, Review, and Test
	Review Exercises
	Chapter 3 Test
	Cumulative Review Exercises (Chapters 1–3)
Chapter 4. Exponential and Logarithmic Functions
	4.1 Exponential Functions
	4.2 Logarithmic Functions
	4.3 Properties of Logarithms
	Mid-Chapter Check Point
	4.4 Exponential and Logarithmic Equations
	4.5 Exponential Growth and Decay; Modeling Data
	Summary, Review, and Test
	Review Exercises
	Chapter 4 Test
	Cumulative Review Exercises (Chapters 1–4)
Chapter 5. Trigonometric Functions
	5.1 Angles and Radian Measure
	5.2 Right Triangle Trigonometry
	5.3 Trigonometric Functions of Any Angle
	5.4 Trigonometric Functions of Real Numbers; Periodic Functions
	Mid-Chapter Check Point
	5.5 Graphs of Sine and Cosine Functions
	5.6 Graphs of Other Trigonometric Functions
	5.7 Inverse Trigonometric Functions
	5.8 Applications of Trigonometric Functions
	Summary, Review, and Test
	Review Exercises
	Chapter 5 Test
	Cumulative Review Exercises (Chapters 1–5)
Chapter 6. Analytic Trigonometry
	6.1 Verifying Trigonometric Identities
	6.2 Sum and Difference Formulas
	6.3 Double-Angle, Power-Reducing, and Half-Angle Formulas
	Mid-Chapter Check Point
	6.4 Product-to-Sum and Sum-to-Product Formulas
	6.5 Trigonometric Equations
	Summary, Review, and Test
	Review Exercises
	Chapter 6 Test
	Cumulative Review Exercises (Chapters 1–6)
Chapter 7. Additional Topics in Trigonometry
	7.1 The Law of Sines
	7.2 The Law of Cosines
	7.3 Polar Coordinates
	7.4 Graphs of Polar Equations
	Mid-Chapter Check Point
	7.5 Complex Numbers in Polar Form; DeMoivre’s Theorem
	7.6 Vectors
	7.7 The Dot Product
	Summary, Review, and Test
	Review Exercises
	Chapter 7 Test
	Cumulative Review Exercises (Chapters 1–7)
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 Fractions
	8.4 Systems of Nonlinear Equations in Two Variables
	Mid-Chapter Check Point
	8.5 Systems of Inequalities
	8.6 Linear Programming
	Summary, Review, and Test
	Review Exercises
	Chapter 8 Test
	Cumulative Review Exercises (Chapters 1–8)
Chapter 9. Matrices and Determinants
	9.1 Matrix Solutions to Linear Systems
	9.2 Inconsistent and Dependent Systems and Their Applications
	9.3 Matrix Operations and Their Applications
	Mid-Chapter Check Point
	9.4 Multiplicative Inverses of Matrices and Matrix Equations
	9.5 Determinants and Cramer’s Rule
	Summary, Review, and Test
	Review Exercises
	Chapter 9 Test
	Cumulative Review Exercises (Chapters 1–9)
Chapter 10. Conic Sections and Analytic Geometry
	10.1 The Ellipse
	10.2 The Hyperbola
	10.3 The Parabola
	Mid-Chapter Check Point
	10.4 Rotation of Axes
	10.5 Parametric Equations
	10.6 Conic Sections in Polar Coordinates
	Summary, Review, and Test
	Review Exercises
	Chapter 10 Test
	Cumulative Review Exercises (Chapters 1–10)
Chapter 11. Sequences, Induction, and Probability
	11.1 Sequences and Summation Notation
	11.2 Arithmetic Sequences
	11.3 Geometric Sequences and Series
	Mid-Chapter Check Point
	11.4 Mathematical Induction
	11.5 The Binomial Theorem
	11.6 Counting Principles, Permutations, and Combinations
	11.7 Probability
	Summary, Review, and Test
	Review Exercises
	Chapter 11 Test
	Cumulative Review Exercises (Chapters 1–11)
Appendix: Where Did That Come From? Selected Proofs
Answers to Selected Exercises
Subject Index
	A
	B
	C
	D
	E
	F
	G
	H
	I
	J
	K
	L
	M
	N
	O
	P
	Q
	R
	S
	T
	U
	V
	W
	X
	Y
	Z
Credits
Definitions, Rules, and Formulas