Basic mathematics college trigonometry elementary intermediate and pre algebra by Charles Mckeague

Front Cover
Title Page
Copyright
Brief Contents
Contents
1 Whole Numbers
	Introduction
		Chapter Pretest
		Getting Ready for Chapter 1
	1.1 Place Value and Names for Numbers
		Introduction ...
		A: Place Value
		Large Numbers
		B: Expanded Form
		C: Writing Numbers in Words
		D: Writing Numbers from Words
		Sets and the Number Line
		Problem Set 1.1
	1.2 Addition with Whole Numbers, and Perimeter
		Introduction ...
		Facts of Addition
		A: Adding Whole Numbers
		A: Addition with Carrying
		B: Vocabulary
		C: Properties of Addition
		D: Solving Equations
		E: Perimeter
		Problem Set 1.2
	1.3 Rounding Numbers, Estimating Answers, and Displaying Information
		Introduction ...
		A: Rounding
		B: Estimating
		Problem Set 1.3
	1.4 Subtraction with Whole Numbers
		Introduction ...
		A: Vocabulary
		B: The Meaning of Subtraction
		C: Subtraction with Borrowing
		Problem Set 1.4
	1.5 Multiplication with Whole Numbers
		Introduction ...
		A: Multiplying Whole Numbers
		B: Notation
		B: Vocabulary
		C: Distributive Property
		A: Multiplication with Whole Numbers, and Area
		Estimating
		E: Applications
		C: More Properties of Multiplication
		D: Solving Equations
		Problem Set 1.5
	1.6 Division with Whole Numbers
		Introduction ...
		A: Notation
		A: Vocabulary
		The Meaning of Division
		B: Division by One-Digit Numbers
		A: Notation
		B: Division by Two-Digit Numbers
		B: Division with Remainders
		C: Applications
		Division by Zero
		Problem Set 1.6
	1.7 Exponents, Order of Operations, and Averages
		A: Exponents
		B: Expressions with Exponents
		C: Order of Operations
		Mean
		Median
		Mode
		More Vocabulary
		Range
		Problem Set 1.7
	1.8 Area and Volume
		A: Area
		B: Volume
		C: Surface Area
		Problem Set 1.8
	Summary
	Review
	Test
	Projects
	RESEARCH PROJECT: Leopold Kronecker
	A Glimpse of Algebra
	A Glimpse of Algebra Problems
2 Fractions and Mixed Numbers
	Introduction
		Chapter Pretest
		Getting Ready for Chapter 2
	2.1 The Meaning and Properties of Fractions
		Introduction ...
		A: The Numerator and Denominator
		B: Proper and Improper Fractions
		Fractions on the Number Line
		C: Equivalent Fractions
		D: The Number 1 and Fractions
		E: Comparing Fractions
		Problem Set 2.1
	2.2 Prime Numbers, Factors, and Reducing to Lowest Terms
		Introduction ...
		A: Prime Numbers
		B: Factoring
		C: Reducing Fractions
		D: Applications
		Problem Set 2.2
	2.3 Multiplication with Fractions, and the Area of a Triangle
		Introduction ...
		A: Multiplying Fractions
		B: The Area of a Triangle
		Problem Set 2.3
	2.4 Division with Fractions
		Introduction ...
		A: Dividing Fractions
		B: Fractions and the Order of Operations
		C: Applications
		Problem Set 2.4
	2.5 Addition and Subtraction with Fractions
		Introduction ...
		A: Combining Fractions with the Same Denominator
		B: The Least Common Denominator or LCD
		Problem Set 2.5
	2.6 Mixed-Number Notation
		Introduction ...
		Notation
		A: Changing Mixed Numbers to Improper Fractions
		B: Changing Improper Fractions to Mixed Numbers
		Long Division, Remainders, and Mixed Numbers
		Problem Set 2.6
	2.7 Multiplication and Division with Mixed Numbers
		Introduction ...
		A: Multiplying Mixed Numbers
		B: Dividing Mixed Numbers
		Problem Set 2.7
	2.8 Addition and Subtraction with Mixed Numbers
		Introduction ...
		A: Combining Mixed Numbers
		B: Borrowing with Mixed Numbers
		Problem Set 2.8
	2.9 Combinations of Operations and Complex Fractions
		Introduction ...
		A: Simplifying Expressions Involving Fractions and Mixed Numbers
		B: Complex Fractions
		Problem Set 2.9
	Summary
	Review
	Cumulative Review
	Test
	Projects
	RESEARCH PROJECT: Sophie Germain
	A Glimpse of Algebra
	A Glimpse of Algebra Problems
3 Decimals
	Introduction
		Chapter Pretest
		Getting Ready for Chapter 3
	3.1 Decimal Notation and Place Value
		Introduction ...
		A: Place Value
		B: Writing Decimals with Words
		C: Converting Between Fractions and Decimals
		D: Rounding Decimal Numbers
		E: Applications with Decimals
		Problem Set 3.1
	3.2 Addition and Subtraction with Decimals
		Introduction ...
		A: Combining Decimals
		B: Applications
		Problem Set 3.2
	3.3 Multiplication with Decimals, Circumference and Area of a Circle
		Introduction ...
		A: Multiplying with Decimals
		Estimating
		Combined Operations
		B: Applications
		C: Circumference
		Problem Set 3.3
	3.4 Division with Decimals
		Introduction ...
		A: Dividing with Decimals
		B: Applications
		Problem Set 3.4
	3.5 Fractions and Decimals, and the Volume of a Sphere
		Introduction ...
		A: Converting Fractions to Decimals
		B: Converting Decimals to Fractions
		C: Problems Containing Both Fractions and Decimals
		A: Applications
		Problem Set 3.5
	3.6 Square Roots and the Pythagorean Theorem
		Introduction ...
		A: Square Roots
		B: Approximating Square Roots
		C: The Pythagorean Theorem
		Problem Set 3.6
	Summary
	Review
	Cumulative Review
	Test
	Projects
	RESEARCH PROJECT: The Wizard of Oz
	A Glimpse of Algebra
	A Glimpse of Algebra Problems
4 Ratio and Proportion
	Introduction
		Chapter Pretest
		Getting Ready for Chapter 4
	4.1 Ratios
		Introduction
		A: Express Ratios as Fractions in Lowest Terms
		B: Applications of Ratios
		Problem Set 4.1
	4.2 Rates and Unit Pricing
		A: Rates
		B: Unit Pricing
		Problem Set 4.2
	4.3 Solving Equations by Division
		Problem Set 4.3
	4.4 Proportions
		A: Terms of a Proportion
		B: The Fundamental Property of Proportions
		Problem Set 4.4
	4.5 Applications of Proportions
		A: Applications
		Problem Set 4.5
	4.6 Similar Figures
		A: Similar Triangles
		B: Other Similar Figures
		C: Drawing Similar Figures
		D: Applications
		Problem Set 4.6
	Summary
	Review
	Cumulative Review
	Test
	Projects
	RESEARCH PROJECT: The Golden Ratio
	A Glimpse of Algebra
	A Glimpse of Algebra Problems
5 Percent
	Introduction
		Chapter Pretest
		Getting Ready for Chapter 5
	5.1 Percents, Decimals, and Fractions
		Introduction ...
		A: The Meaning of Percent
		B: Changing Percents to Decimals
		C: Changing Decimals to Percents
		D: Changing Percents to Fractions
		E: Changing Fractions to Percents
		Problem Set 5.1
	5.2 Basic Percent Problems
		Introduction ...
		A: Solving Percent Problems Using Equations
		B: Food Labels
		C: Solving Percent Problems Using Proportions
		Problem Set 5.2
	5.3 General Applications of Percent
		Introduction ...
		A: Applications Involving Percent
		Problem Set 5.3
	5.4 Sales Tax and Commission
		A: Sales Tax
		B: Commission
		Problem Set 5.4
	5.5 Percent Increase or Decrease and Discount
		A: Percent Increase
		B: Percent Decrease
		C: Discount Rate
		Problem Set 5.5
	5.6 Interest
		A: Simple Interest
		B: Compound Interest
		Problem Set 5.6
	5.7 Pie Charts
		A: Reading a Pie Chart
		B: Constructing Pie Charts
		Problem Set 5.7
	Summary
	Review
	Cumulative Review
	Test
	Projects
	RESEARCH PROJECT: Credit-Card Debt
	A Glimpse of Algebra
	A Glimpse of Algebra Problems
6 Measurement
	Introduction
		Chapter Pretest
		Getting Ready for Chapter 6
	6.1 Unit Analysis I: Length
		Introduction ...
		A: U.S. Units of Length
		B: Metric Units of Length
		C: Applications
		Problem Set 6.1
	6.2 Unit Analysis II: Area and Volume
		A: Conversion Factors in the U.S. System
		B: Area: The Metric System
		C: Volume: The U.S. System
		D: Volume: The Metric System
		Problem Set 6.2
	6.3 Unit Analysis III: Weight
		A: Weights: The U.S. System
		B: Weights: The Metric System
		Problem Set 6.3
	6.4 Converting Between the Two Systems and Temperature
		A: Converting Between the U.S. and Metric Systems
		B: Temperature
		Problem Set 6.4
	6.5 Operations with Time and Mixed Units
		A: Converting Time to Single Units
		B: Addition and Subtraction with Mixed Units
		C: Multiplication with Mixed Units
		Problem Set 6.5
	Summary
	Review
	Cumulative Review
	Test
	Projects
	RESEARCH PROJECT: Richard Alfred Tapia
7 Introduction to Algebra
	Introduction
		Chapter Pretest
		Getting Ready for Chapter 7
	7.1 Positive and Negative Numbers
		Introduction ...
		A: Comparing Numbers
		B: Absolute Value
		C: Opposites
		D: Displaying Negative Numbers
		Problem Set 7.1
	7.2 Addition with Negative Numbers
		Introduction ...
		A: Adding with a Number Line
		B: Addition
		Problem Set 7.2
	7.3 Subtraction with Negative Numbers
		Introduction ...
		A: Subtraction
		B: Application
		Subtraction and Taking Away
		Problem Set 7.3
	7.4 Multiplication with Negative Numbers
		Introduction ...
		A: Multiplication
		B: Order of Operations
		Problem Set 7.4
	7.5 Division with Negative Numbers
		Introduction ...
		A: Division
		B: Order of Operations
		Problem Set 7.5
	7.6 Simplifying Algebraic Expressions
		Introduction ...
		A: Using the Associative Property
		B: Using the Distributive Property
		C: Similar Terms
		D: Algebraic Expressions Representing Area and Perimeter
		Problem Set 7.6
	Summary
	Review
	Cumulative Review
	Test
	Projects
	RESEARCH PROJECT: David Harold Blackwell
8 Solving Equations
	Introduction
		Chapter Pretest
		Getting Ready for Chapter 8
	8.1 The Distributive Property and Algebraic Expressions
		A: The Distributive Property
		B: Similar Terms
		C: The Value of an Algebraic Expression
		Problem Set 8.1
	8.2 The Addition Property of Equality
		Introduction ...
		A: Solutions to Equations
		B: Addition Property of Equality
		A Note on Subtraction
		Problem Set 8.2
	8.3 The Multiplication Property of Equality
		A: Multiplication Property of Equality
		Problem Set 8.3
	8.4 Linear Equations in One Variable
		Introduction ...
		A: Solving Linear Equations with One variable
		B: Equations Involving Fractions
		Equations Containing Decimals
		Problem Set 8.4
	8.5 Applications
		Introduction ...
		A: Number Problems
		B: Geometry Problems
		C: Age Problem
		Car Rental Problem
		Coin Problem
		Problem Set 8.5
	8.6 Evaluating Formulas
		Introduction ...
		A: Formulas
		B: Rate Equation
		Problem Set 8.6
	Summary
	Review
	Cumulative Review
	Test
	Projects
	RESEARCH PROJECT: Algebraic Symbolism
Appendix A: Resources
Appendix B: One Hundred Addition Facts
Appendix C: One Hundred Multiplication Facts
Solutions to Selected Practice Problems
Answers to Odd-Numbered Problems
Index
Cover
Title
Statement
Copyright
Brief Contents
Contents
Preface
A Special Note to the Student
Ch 1: The Six Trigonometric Functions
	Ch 1: Introduction
	Study Skills 1
	Section 1.1: Angles, Degrees, and Special Triangles
	Section 1.2: The Rectangular Coordinate System
	Section 1.3: Definition I: Trigonometric Functions
	Section 1.4: Introduction to Identities
	Section 1.5: More on Identities
	Chapter Summary 1
	Chapter Test 1
	Ch 1: Projects
Ch 2: Right Triangle Trigonometry
	Ch 2: Introduction
	Study Skills 2
	Section 2.1: Definition II: Right Triangle Trigonometry
	Section 2.2: Calculators and Trigonometric Functions of an Acute Angle
	Section 2.3: Solving Right Triangles
	Section 2.4: Applications
	Section 2.5: Vectors: A Geometric Approach
	Chapter Summary 2
	Chapter Test 2
	Ch 2: Projects
Ch 3: Radian Measure
	Ch 3: Introduction
	Study Skills 3
	Section 3.1: Reference Angle
	Section 3.2: Radians and Degrees
	Section 3.3: Definition III: Circular Functions
	Section 3.4: Arc Length and Area of a sector
	Section 3.5: Velocities
	Chapter Summary 3
	Chapter Test 3
	Ch 3: Projects
	Cumulative Test 1–3
Ch 4: Graphing and Inverse Functions
	Ch 4: Introduction
	Study Skills 4
	Section 4.1: Basic Graphs
	Section 4.2: Amplitude, Reflection, and Period
	Section 4.3: Vertical and Horizontal Translations
	Section 4.5: Finding an Equation From lts Graph
	Section 4.6: Graphing Combinations of Functions
	Section 4.7: Inverse Trigonometric Functions
	Chapter Summary 4
	Chapter Test 4
	Ch 4: Projects
Ch 5: Identities and Formulas
	Ch 5: Introduction
	Study Skills 5
	Section 5.1: Proving Identities
	Section 5.2: Sum and Difference Formulas
	Section 5.3: Double-Angle Formulas
	Section 5.4: Half-Angle Formulas
	Section 5.5: Additional Identities
	Chapter Summary 5
	Chapter Test 5
	Ch 5: Projects
Ch 6: Equations
	Ch 6: Introduction
	Study Skills 6
	Section 6.1: Solving Trigonometric Equations
	Section 6.2: More on Trigonometric Equations
	Section 6.3 Trigonometric Equations Involving Multiple Angles
	Section 6.4: Parametric Equations and Further Graphing
	Chapter Summary 6
	Chapter Test 6
	Ch 6: Projects
	Cumulative Test 1–6
Ch 7: Triangles
	Ch 7: Introduction
	Section 7.1: The Law of Sines
	Section 7.2: The Law of Cosines
	Section 7.3: The Ambiguous Case
	Section 7.4: The Area of a Triangle
	Section 7.5: Vectors: An Algebraic Approach Learning
	Section 7.6: Vectors: The Dot Product
	Chapter Summary 7
	Chapter Test 7
	Ch 7: Projects
Ch 8: Complex Numbers and Polarcoordinates
	Ch 8: Introduction
	Section 8.1: Complex Numbers
	Section 8.2: Trigonometric Form for Complex Numbers
	Section 8.3: Products and Quotients in trigonometric Form
	Section 8.4: Roots of a Complex Number
	Section 8.5:
 Polar Coordinates
	Section 8.6: Equations in Polar Coordinates and Their Graphs
	Chapter Summary 8
	Chapter Test 8
	Ch 8: Projects
	Cumulative Test 1–8
Appendix A: Review Topics
Answers to Selected Exercises
Index
Front Cover
Title Page
Copyright
Contents
Chapter 1 The Basics
	1.1 Notation and Symbols
	1.2 Real Numbers
	1.3 Addition of Real Numbers
	1.4 Subtraction of Real Numbers
	1.5 Properties of Real Numbers
	1.6 Multiplication of Real Numbers
	1.7 Division of Real Numbers
	1.8 Subsets of the Real Numbers
	1.9 Addition and Subtraction with Fractions
	Summary
	Review Test
	Projects
Chapter 2 Linear Equations and Inequalities
	2.1 Simplifying Expressions
	2.2 Addition Property of Equality
	2.3 Multiplication Property of Equality
	2.4 Solving Linear Equations
	2.5 Formulas
	2.6 Applications
	2.7 More Applications
	2.8 Linear Inequalities
	Summary
	Review Test
	Projects
Chapter 3 Graphing and Systems of Equations
	3.1 Paired Data and Graphing Ordered Pairs
	3.2 Solutions to Linear Equations in Two Variables
	3.3 Graphing Linear Equations in Two Variables
	3.4 More on Graphing: Intercepts
	3.5 Slope and the Equation of a Line
	3.6 Solving Linear Systems by Graphing
	3.7 The Elimination Method
	3.8 The Substitution Method
	3.9 Applications
	Summary
	Review Test
	Projects
Chapter 4 Exponents and Polynomials
	4.1 Multiplication with Exponents
	4.2 Division with Exponents
	4.3 Operations with Monomials
	4.4 Addition and Subtraction of Polynomials
	4.5 Multiplication with Polynomials
	4.6 Binomial Squares and Other Special Products
	4.7 Dividing a Polynomial by a Monomial
	4.8 Dividing a Polynomial by a Polynomial
	Summary
	Review Test
	Projects
Chapter 5 Factoring
	5.1 The Greatest Common Factor and Factoring by Grouping
	5.2 Factoring Trinomials
	5.3 More Trinomials to Factor
	5.4 The Difference of Two Squares
	5.5 The Sum and Difference of Two Cubes
	5.6 Factoring: A General Review
	5.7 Solving Equations by Factoring
	5.8 Applications
	Summary
	Review Test
	Projects
Chapter 6 Rational Expressions
	6.1 Reducing Rational Expressions to Lowest Terms
	6.2 Multiplication and Division of Rational Expressions
	6.3 Addition and Subtraction of Rational Expressions
	6.4 Equations Involving Rational Expressions
	6.5 Applications
	6.6 Complex Fractions
	6.7 Proportions
	Summary
	Review Test
	Projects
Chapter 7 Transitions
	7.1 Review of Solving Equations
	7.2 Equations with Absolute Value
	7.3 Compound Inequalities and Interval Notation
	7.4 Inequalities Involving Absolute Value
	7.5 Review of Systems of Linear Equations in Two Variables
	7.6 Systems of Linear Equations in Three Variables
	7.7 Linear Inequalities in Two Variables
	7.8 Systems of Linear Inequalities
	Summary
	Review Test
	Projects
Chapter 8 Equations and Functions
	8.1 The Slope of a Line
	8.2 The Equation of a Line
	8.3 Introduction to Functions
	8.4 Function Notation
	8.5 Algebra and Composition with Functions
	8.6 Variation
	Summary
	Review Test
	Projects
Chapter 9 Rational Exponents and Roots
	9.1 Rational Exponents
	9.2 More Expressions Involving Rational Exponents
	9.3 Simplified Form for Radicals
	9.4 Addition and Subtraction of Radical Expressions
	9.5 Multiplication and Division of Radical Expressions
	9.6 Equations with Radicals
	9.7 Complex Numbers
	Summary
	Review Test
	Projects
Chapter 10 Quadratic Functions
	10.1 Completing the Square
	10.2 The Quadratic Formula
	10.3 Additional Items Involving Solutions to Equations
	10.4 Equations Quadratic in Form
	10.5 Graphing Parabolas
	10.6 Quadratic Inequalities
	Summary
	Review Test
	Projects
Chapter 11 Exponential and Logarithmic Functions
	11.1 Exponential Functions
	11.2 The Inverse of a Function
	11.3 Logarithms Are Exponents
	11.4 Properties of Logarithms
	11.5 Common Logarithms and Natural Logarithms
	11.6 Exponential Equations and Change of Base
	Summary
	Review Test
	Projects
Chapter 12 Conic Sections
	12.1 The Circle
	12.2 Ellipses and Hyperbolas
	12.3 Second-Degree Inequalities and Nonlinear Systems
	Summary
	Review Test
	Projects
Chapter 13 Sequences and Series
	13.1 Sequences
	13.2 Series
	13.3 Arithmetic Sequences
	13.4 Geometric Sequences
	13.5 The Binomial Expansion
	Summary
	Review Test
	Projects
Answers
Index
Cover Page
Functions: A Summary
Title Page
Copyright Page
Preface to the Instructor
Preface to the Student
Brief Contents
Contents
Chapter 1: Basic Properties and Definitions
	1.1: Fundamental Definitions and Notation
	1.2: Sets and Venn Diagrams
	1.3: The Real Numbers
	1.4: Simple and Compound Inequalities
	1.5: Arithmetic with Real Numbers
	1.6: Properties of Real Numbers
	1.7: Recognizing Patterns
	Summary
	Review
	Test
	Projects
Chapter 2: Equations and Inequalities in One Variable
	2.1: Linear Equations in One Variable
	2.2: Formulas
	2.3: Applications
	2.4: Linear Inequalities in One Variable
	2.5: Equations with Absolute Value
	2.6: Inequalities Involving Absolute Value
	Summary
	Review
	Cumulative Review
	Test
	Projects
Chapter 3: Equations and Inequalities in Two Variables
	3.1: Paired Data and the Rectangular Coordinate System
	3.2: The Slope of a Line
	3.3: The Equation of a Line
	3.4: Linear Inequalities in Two Variables
	3.5: Introduction to Functions
	3.6: Function Notation
	3.7: Algebra and Composition with Functions
	3.8: Variation
	Summary
	Review
	Cumulative Review
	Test
	Projects
Chapter 4: Systems of Linear Equations and Inequalities
	4.1 Systems of Linear Equationsin Two Variables
	4.2: Systems of Linear Equations in Three Variables
	4.3: Applications of Linear Systems
	4.4: Matrix Solutions to Linear Systems
	4.5: Systems of Linear Inequalities
	Summary
	Review
	Cumulative Review
	Test
	Projects
Chapter 5: Exponents and Polynomials
	5.1: Properties of Exponents
	5.2: Polynomials, Sums, and Differences
	5.3: Multiplication of Polynomials
	5.4: The Greatest Common Factor and Factoring by Grouping
	5.5: Factoring Trinomials
	5.6: Special Factoring
	5.7: Factoring: A General Review
	5.8: Solving Equations by Factoring
	Summary
	Review
	Cumulative Review
	Test
	Projects
Chapter 6: Rational Expressions and Rational Functions
	6.1: Basic Properties and Reducing to Lowest Terms
	6.2: Division of Polynomials and Difference Quotients
	6.3: Multiplication and Division of Rational Expressions
	6.4: Addition and Subtraction of Rational Expressions
	6.5: Complex Fractions
	6.6: Equations and Graphs with Rational Expressions
	6.7: Applications
	Summary
	Review
	Cumulative Review
	Test
	Projects
Chapter 7: Rational Exponents and Roots
	7.1: Rational Exponents
	7.2: More Expressions Involving Rational Exponents
	7.3: Simplified Form for Radicals
	7.4: Addition and Subtraction of Radical Expressions
	7.5: Multiplication and Division of Radical Expressions
	7.6:Equations with Radicals
	7.7: Complex Numbers
	Summary
	Review
	Cumulative Review
	Test
	Projects
Chapter 8: Quadratic Functions
	8.1: Completing the Square
	8.2: The Quadratic Formula
	8.3: Additional Items Involving Solutions to Equations
	8.4: Equations Quadratic in Form
	8.5: Graphing Parabolas
	8.6: Quadratic Inequalities
	Summary
	Review
	Cumulative Review
	Test
	Projects
Chapter 9: Exponential and Logarithmic Functions
	9.1: Exponential Functions
	9.2: The Inverse of a Function
	9.3: Logarithms Are Exponents
	9.4: Properties of Logarithms
	9.5: Common Logarithm and Natural Logarithms
	9.6: Exponential Equations and Change of Base
	Summary
	Review
	Cumulative Review
	Test
	Projects
Chapter 10: Conic Sections
	10.1: The Circle
	10.2: Ellipses and Hyperbolas
	10.3: Second-Degree Inequalities and Nonlinear Systems
	Summary
	Review
	Cumulative Review
	Test
	Projects
Chapter 11: Sequences and Series
	11.1: Sequences
	11.2: Series
	11.3: Arithmetic Sequences
	11.4: Geometric Sequences
	11.5: The Binomial Expansion
	Summary
	Review
	Cumulative Review
	Test
	Projects
Appendix A: Introduction to Determinants
Appendix B: Cramer's Rule
Appendix C: Synthetic Division
Appendix D: Conditional Statements
	Answers to Odd-Numbered Problems
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
Copyright
Title Page
Dedication
Contents
Chapter 1: ‘I’m thinking’ – Oh, but are you?
Chapter 2: Renegade perception
Chapter 3: The Pushbacker sting
Chapter 4: ‘Covid’: The calculated catastrophe
Chapter 5: There is no ‘virus’
Chapter 6: Sequence of deceit
Chapter 7: War on your mind
Chapter 8: ‘Reframing’ insanity
Chapter 9: We must have it? So what is it?
Chapter 10: Human 2.0
Chapter 11: Who controls the Cult?
Chapter 12: Escaping Wetiko
Postscript
Appendix: Cowan-Kaufman-Morell Statement on Virus Isolation
Bibliography
Index
Cover
Title
Statement
Copyright
Brief Contents
Contents
Preface
A Special Note to the Student
Ch 1: The Six Trigonometric Functions
	Ch 1: Introduction
	Study Skills 1
	Section 1.1: Angles, Degrees, and Special Triangles
	Section 1.2: The Rectangular Coordinate System
	Section 1.3: Definition I: Trigonometric Functions
	Section 1.4: Introduction to Identities
	Section 1.5: More on Identities
	Chapter Summary 1
	Chapter Test 1
	Ch 1: Projects
Ch 2: Right Triangle Trigonometry
	Ch 2: Introduction
	Study Skills 2
	Section 2.1: Definition II: Right Triangle Trigonometry
	Section 2.2: Calculators and Trigonometric Functions of an Acute Angle
	Section 2.3: Solving Right Triangles
	Section 2.4: Applications
	Section 2.5: Vectors: A Geometric Approach
	Chapter Summary 2
	Chapter Test 2
	Ch 2: Projects
Ch 3: Radian Measure
	Ch 3: Introduction
	Study Skills 3
	Section 3.1: Reference Angle
	Section 3.2: Radians and Degrees
	Section 3.3: Definition III: Circular Functions
	Section 3.4: Arc Length and Area of a sector
	Section 3.5: Velocities
	Chapter Summary 3
	Chapter Test 3
	Ch 3: Projects
	Cumulative Test 1–3
Ch 4: Graphing and Inverse Functions
	Ch 4: Introduction
	Study Skills 4
	Section 4.1: Basic Graphs
	Section 4.2: Amplitude, Reflection, and Period
	Section 4.3: Vertical and Horizontal Translations
	Section 4.5: Finding an Equation From lts Graph
	Section 4.6: Graphing Combinations of Functions
	Section 4.7: Inverse Trigonometric Functions
	Chapter Summary 4
	Chapter Test 4
	Ch 4: Projects
Ch 5: Identities and Formulas
	Ch 5: Introduction
	Study Skills 5
	Section 5.1: Proving Identities
	Section 5.2: Sum and Difference Formulas
	Section 5.3: Double-Angle Formulas
	Section 5.4: Half-Angle Formulas
	Section 5.5: Additional Identities
	Chapter Summary 5
	Chapter Test 5
	Ch 5: Projects
Ch 6: Equations
	Ch 6: Introduction
	Study Skills 6
	Section 6.1: Solving Trigonometric Equations
	Section 6.2: More on Trigonometric Equations
	Section 6.3 Trigonometric Equations Involving Multiple Angles
	Section 6.4: Parametric Equations and Further Graphing
	Chapter Summary 6
	Chapter Test 6
	Ch 6: Projects
	Cumulative Test 1–6
Ch 7: Triangles
	Ch 7: Introduction
	Section 7.1: The Law of Sines
	Section 7.2: The Law of Cosines
	Section 7.3: The Ambiguous Case
	Section 7.4: The Area of a Triangle
	Section 7.5: Vectors: An Algebraic Approach Learning
	Section 7.6: Vectors: The Dot Product
	Chapter Summary 7
	Chapter Test 7
	Ch 7: Projects
Ch 8: Complex Numbers and Polarcoordinates
	Ch 8: Introduction
	Section 8.1: Complex Numbers
	Section 8.2: Trigonometric Form for Complex Numbers
	Section 8.3: Products and Quotients in trigonometric Form
	Section 8.4: Roots of a Complex Number
	Section 8.5:
 Polar Coordinates
	Section 8.6: Equations in Polar Coordinates and Their Graphs
	Chapter Summary 8
	Chapter Test 8
	Ch 8: Projects
	Cumulative Test 1–8
Appendix A: Review Topics
Answers to Selected Exercises
Index
Front Cover
Title Page
Copyright
Contents
Chapter 1 The Basics
	1.1 Notation and Symbols
	1.2 Real Numbers
	1.3 Addition of Real Numbers
	1.4 Subtraction of Real Numbers
	1.5 Properties of Real Numbers
	1.6 Multiplication of Real Numbers
	1.7 Division of Real Numbers
	1.8 Subsets of the Real Numbers
	1.9 Addition and Subtraction with Fractions
	Summary
	Review Test
	Projects
Chapter 2 Linear Equations and Inequalities
	2.1 Simplifying Expressions
	2.2 Addition Property of Equality
	2.3 Multiplication Property of Equality
	2.4 Solving Linear Equations
	2.5 Formulas
	2.6 Applications
	2.7 More Applications
	2.8 Linear Inequalities
	Summary
	Review Test
	Projects
Chapter 3 Graphing and Systems of Equations
	3.1 Paired Data and Graphing Ordered Pairs
	3.2 Solutions to Linear Equations in Two Variables
	3.3 Graphing Linear Equations in Two Variables
	3.4 More on Graphing: Intercepts
	3.5 Slope and the Equation of a Line
	3.6 Solving Linear Systems by Graphing
	3.7 The Elimination Method
	3.8 The Substitution Method
	3.9 Applications
	Summary
	Review Test
	Projects
Chapter 4 Exponents and Polynomials
	4.1 Multiplication with Exponents
	4.2 Division with Exponents
	4.3 Operations with Monomials
	4.4 Addition and Subtraction of Polynomials
	4.5 Multiplication with Polynomials
	4.6 Binomial Squares and Other Special Products
	4.7 Dividing a Polynomial by a Monomial
	4.8 Dividing a Polynomial by a Polynomial
	Summary
	Review Test
	Projects
Chapter 5 Factoring
	5.1 The Greatest Common Factor and Factoring by Grouping
	5.2 Factoring Trinomials
	5.3 More Trinomials to Factor
	5.4 The Difference of Two Squares
	5.5 The Sum and Difference of Two Cubes
	5.6 Factoring: A General Review
	5.7 Solving Equations by Factoring
	5.8 Applications
	Summary
	Review Test
	Projects
Chapter 6 Rational Expressions
	6.1 Reducing Rational Expressions to Lowest Terms
	6.2 Multiplication and Division of Rational Expressions
	6.3 Addition and Subtraction of Rational Expressions
	6.4 Equations Involving Rational Expressions
	6.5 Applications
	6.6 Complex Fractions
	6.7 Proportions
	Summary
	Review Test
	Projects
Chapter 7 Transitions
	7.1 Review of Solving Equations
	7.2 Equations with Absolute Value
	7.3 Compound Inequalities and Interval Notation
	7.4 Inequalities Involving Absolute Value
	7.5 Review of Systems of Linear Equations in Two Variables
	7.6 Systems of Linear Equations in Three Variables
	7.7 Linear Inequalities in Two Variables
	7.8 Systems of Linear Inequalities
	Summary
	Review Test
	Projects
Chapter 8 Equations and Functions
	8.1 The Slope of a Line
	8.2 The Equation of a Line
	8.3 Introduction to Functions
	8.4 Function Notation
	8.5 Algebra and Composition with Functions
	8.6 Variation
	Summary
	Review Test
	Projects
Chapter 9 Rational Exponents and Roots
	9.1 Rational Exponents
	9.2 More Expressions Involving Rational Exponents
	9.3 Simplified Form for Radicals
	9.4 Addition and Subtraction of Radical Expressions
	9.5 Multiplication and Division of Radical Expressions
	9.6 Equations with Radicals
	9.7 Complex Numbers
	Summary
	Review Test
	Projects
Chapter 10 Quadratic Functions
	10.1 Completing the Square
	10.2 The Quadratic Formula
	10.3 Additional Items Involving Solutions to Equations
	10.4 Equations Quadratic in Form
	10.5 Graphing Parabolas
	10.6 Quadratic Inequalities
	Summary
	Review Test
	Projects
Chapter 11 Exponential and Logarithmic Functions
	11.1 Exponential Functions
	11.2 The Inverse of a Function
	11.3 Logarithms Are Exponents
	11.4 Properties of Logarithms
	11.5 Common Logarithms and Natural Logarithms
	11.6 Exponential Equations and Change of Base
	Summary
	Review Test
	Projects
Chapter 12 Conic Sections
	12.1 The Circle
	12.2 Ellipses and Hyperbolas
	12.3 Second-Degree Inequalities and Nonlinear Systems
	Summary
	Review Test
	Projects
Chapter 13 Sequences and Series
	13.1 Sequences
	13.2 Series
	13.3 Arithmetic Sequences
	13.4 Geometric Sequences
	13.5 The Binomial Expansion
	Summary
	Review Test
	Projects
Answers
Index
Cover Page
Functions: A Summary
Title Page
Copyright Page
Preface to the Instructor
Preface to the Student
Brief Contents
Contents
Chapter 1: Basic Properties and Definitions
	1.1: Fundamental Definitions and Notation
	1.2: Sets and Venn Diagrams
	1.3: The Real Numbers
	1.4: Simple and Compound Inequalities
	1.5: Arithmetic with Real Numbers
	1.6: Properties of Real Numbers
	1.7: Recognizing Patterns
	Summary
	Review
	Test
	Projects
Chapter 2: Equations and Inequalities in One Variable
	2.1: Linear Equations in One Variable
	2.2: Formulas
	2.3: Applications
	2.4: Linear Inequalities in One Variable
	2.5: Equations with Absolute Value
	2.6: Inequalities Involving Absolute Value
	Summary
	Review
	Cumulative Review
	Test
	Projects
Chapter 3: Equations and Inequalities in Two Variables
	3.1: Paired Data and the Rectangular Coordinate System
	3.2: The Slope of a Line
	3.3: The Equation of a Line
	3.4: Linear Inequalities in Two Variables
	3.5: Introduction to Functions
	3.6: Function Notation
	3.7: Algebra and Composition with Functions
	3.8: Variation
	Summary
	Review
	Cumulative Review
	Test
	Projects
Chapter 4: Systems of Linear Equations and Inequalities
	4.1 Systems of Linear Equationsin Two Variables
	4.2: Systems of Linear Equations in Three Variables
	4.3: Applications of Linear Systems
	4.4: Matrix Solutions to Linear Systems
	4.5: Systems of Linear Inequalities
	Summary
	Review
	Cumulative Review
	Test
	Projects
Chapter 5: Exponents and Polynomials
	5.1: Properties of Exponents
	5.2: Polynomials, Sums, and Differences
	5.3: Multiplication of Polynomials
	5.4: The Greatest Common Factor and Factoring by Grouping
	5.5: Factoring Trinomials
	5.6: Special Factoring
	5.7: Factoring: A General Review
	5.8: Solving Equations by Factoring
	Summary
	Review
	Cumulative Review
	Test
	Projects
Chapter 6: Rational Expressions and Rational Functions
	6.1: Basic Properties and Reducing to Lowest Terms
	6.2: Division of Polynomials and Difference Quotients
	6.3: Multiplication and Division of Rational Expressions
	6.4: Addition and Subtraction of Rational Expressions
	6.5: Complex Fractions
	6.6: Equations and Graphs with Rational Expressions
	6.7: Applications
	Summary
	Review
	Cumulative Review
	Test
	Projects
Chapter 7: Rational Exponents and Roots
	7.1: Rational Exponents
	7.2: More Expressions Involving Rational Exponents
	7.3: Simplified Form for Radicals
	7.4: Addition and Subtraction of Radical Expressions
	7.5: Multiplication and Division of Radical Expressions
	7.6:Equations with Radicals
	7.7: Complex Numbers
	Summary
	Review
	Cumulative Review
	Test
	Projects
Chapter 8: Quadratic Functions
	8.1: Completing the Square
	8.2: The Quadratic Formula
	8.3: Additional Items Involving Solutions to Equations
	8.4: Equations Quadratic in Form
	8.5: Graphing Parabolas
	8.6: Quadratic Inequalities
	Summary
	Review
	Cumulative Review
	Test
	Projects
Chapter 9: Exponential and Logarithmic Functions
	9.1: Exponential Functions
	9.2: The Inverse of a Function
	9.3: Logarithms Are Exponents
	9.4: Properties of Logarithms
	9.5: Common Logarithm and Natural Logarithms
	9.6: Exponential Equations and Change of Base
	Summary
	Review
	Cumulative Review
	Test
	Projects
Chapter 10: Conic Sections
	10.1: The Circle
	10.2: Ellipses and Hyperbolas
	10.3: Second-Degree Inequalities and Nonlinear Systems
	Summary
	Review
	Cumulative Review
	Test
	Projects
Chapter 11: Sequences and Series
	11.1: Sequences
	11.2: Series
	11.3: Arithmetic Sequences
	11.4: Geometric Sequences
	11.5: The Binomial Expansion
	Summary
	Review
	Cumulative Review
	Test
	Projects
Appendix A: Introduction to Determinants
Appendix B: Cramer's Rule
Appendix C: Synthetic Division
Appendix D: Conditional Statements
	Answers to Odd-Numbered Problems
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