Algebra and Trigonometry provides a comprehensive exploration of algebraic principles and meets scope and sequence requirements for a typical introductory algebra and trigonometry course. The modular approach and the richness of content ensure that the book meets the needs of a variety of courses. Algebra and Trigonometry offers a wealth of examples with detailed, conceptual explanations, building a strong foundation in the material before asking students to apply what they’ve learned.
Senior Contributing Authors
Jay Abramson, Arizona State University
Contributing Authors
Valeree Falduto, Palm Beach State College
Rachael Gross, Towson University
David Lippman, Pierce College
Melonie Rasmussen, Pierce College
Christina Fernandez
Harold Whipple, Formerly of Columbia College
Jean-Marie Magnier, Springfield Technical Community College
Rick Norwood, East Tennessee State University
Nicholas Belloit, Florida State College at Jacksonville
Author(s): Jay Abramson
Publisher: OpenStax
Year: 2017
Language: English
Commentary: True PDF
Pages: 1134
City: Houston
Preface
1. About OpenStax
2. About OpenStax's Resources
3. About Algebra and Trigonometry
4. Pedagogical Foundations and Features
5. Additional Resources
Chapter 1. Prerequisites
1.1. Real Numbers: Algebra Essentials
1.2. Exponents and Scientific Notation
1.3. Radicals and Rational Expressions
1.4. Polynomials
1.5. Factoring Polynomials
1.6. Rational Expressions
Glossary
Chapter 2. Equations and Inequalities
2.1. The Rectangular Coordinate Systems and Graphs
2.2. Linear Equations in One Variable
2.3. Models and Applications
2.4. Complex Numbers
2.5. Quadratic Equations
2.6. Other Types of Equations
2.7. Linear Equations and Absolute Value Inequalities
Glossary
Chapter 3. Functions
3.1. Functions and Function Notation
3.2. Domain and Range
3.3. Rates of Change and Behavior of Graphs
3.4. Composition of Functions
3.5. Transformation of Functions
3.6. Absolute Value Functions
3.7. Inverse Functions
Glossary
Chapter 4. Linear Functions
4.1. Linear Functions
4.2. Modeling with Linear Functions
4.3. Fitting Linear Models to Data
Glossary
Chapter 5. Polynomial and Rational Functions
5.1. Quadratic Functions
5.2. Power Functions and Polynomial Functions
5.3. Graphs of Polynomial Functions
5.4. Dividing Polynomials
5.5. Zeros of Polynomial Functions
5.6. Rational Functions
5.7. Inverses and Radical Functions
5.8. Modeling Using Variation
Glossary
Chapter 6. Exponential and Logarithmic Functions
6.1. Exponential Functions
6.2. Graphs of Exponential Functions
6.3. Logarithmic Functions
6.4. Graphs of Logarithmic Functions
6.5. Logarithmic Properties
6.6. Exponential and Logarithmic Equations
6.7. Exponential and Logarithmic Models
6.8. Fitting Exponential Models to Data
Glossary
Chapter 7. The Unit Circle: Sine and Cosine Functions
7.1. Angles
7.2. Right Triangle Trigonometry
7.3. Unit Circle
7.4. The Other Trigonometric Functions
Glossary
Chapter 8. Periodic Functions
8.1. Graphs of the Sine and Cosine Functions
8.2. Graphs of the Other Trigonometric Functions
8.3. Inverse Trigonometric Functions
Glossary
Chapter 9. Trigonometric Identities and Equations
9.1. Solving Trigonometric Equations with Identities
9.2. Sum and Difference Identities
9.3. Double-Angle, Half-Angle, and Reduction Formulas
9.4. Sum-to-Product and Product-to-Sum Formulas
9.5. Solviong Trigonometric Equations
Glossary
Chapter 10. Further Applications of Trigonometry
10.1. Non-Right Triangles: Law of Sines
10.2. Non-Right Triangles: Law of Cosines
10.3. Polar Coordinates
10.4. Polar Coordinates: Graphs
10.5. Polar Form of Complex Numbers
10.6. Parametric Equations
10.7. Parametric Equations: Graphs
10.8. Vectors
Glossary
Chapter 11. Systems of Equations and Inequalities
11.1. Systems of Linear Equations: Two Variables
11.2. Systems of Linear Equations: Three Variables
11.3. Systems of Nonlinear Equations and Inequalities: Two Variables
11.4. Partial Fractions
11.5. Matrices and Matrix Operations
11.6. Solving Systems with Gaussian Elimination
11.7. Solving Systems with Inverses
11.8. Solving Systems with Cramer's Rule
Glossary
Chapter 12. Analytic Geometry
12.1. The Ellipse
12.2. The Hyperbola
12.3. The Parabola
12.4. Rotation of Axis
Glossary
Chapter 13. Sequences, Probability and Counting Theory
13.1. Sequences and their Notations
13.2. Arithmetic Sequences
13.3. Geometric Sequences
13.4. Series and their Notations
13.5. Counting Principles
13.6. Binomial Theorem
13.7. Probability
Glossary
Appendix A. Proofs, Identities, and Toolkit Functions
Try It Answers
Chapter 1
Chapter 2
Chapter 3
Chapter 4
Chapter 5
Chapter 6
Chapter 7
Chapter 8
Chapter 9
Chapter 10
Chapter 11
Chapter 12
Chapter 13
Odd Answers
Chapter 1
Chapter 2
Chapter 3
Chapter 4
Chapter 5
Chapter 6
Chapter 7
Chapter 8
Chapter 9
Chapter 10
Chapter 11
Chapter 12
Chapter 13
Index
