Description 
1 online resource 
Series 
Open textbook library 
Contents 
Preface  Chapter 1. Prerequisites  1.1. Real Numbers: Algebra Essentials  1.2. Exponents and Scientific Notation  1.3. Radicals and Rational Exponents  1.4. Polynomials  1.5. Factoring Polynomials  1.6. Rational Expressions  Chapter Review  Exercises  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 Inequalities and Absolute Value Inequalities  Chapter Review  Exercises  Chapter 3. Functions  Introduction to 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  Chapter Review  Exercises  Chapter 4. Linear Functions  Introduction to Linear Functions  4.1. Linear Functions  4.2. Modeling with Linear Functionos  4.3. Fitting Linear Models to Data  Chapter Review  Exercises  Chapter 5. Polynomial and Rational Functions  Introduction to 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  Chapter Review  Exercises  Chapter 6. Exponential and Logarithmic Functions  Introduction to 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  Chapter Review  Exercises  Chapter 7. The Unit Circle: Sine and Cosine Functions  Introduction to 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  Chapter Review  Exercises  Chapter 8. Periodic Functions  Introduction to Periodic Functions  8.1 Graphs of the Sine and Cosine Functions  8.2 Graphs of the Other Trigonometric Functions  8.3 Inverse Trigonometric Functions  Chapter Review  Exercises  Chapter 9. Trigonometric Identities and Equations  Introduction to Trigonometric Identities and Equations  9.1 Verifying Trigonometric Identities and Using Trigonometric Identities to Simplify Trigonometric Expressions  9.2 Sum and Difference Identities  9.3 DoubleAngle, HalfAngle, and Reduction Formulas  9.4 SumtoProduct and ProducttoSum Formulas  9.5 Solving Trigonometric Equations  Chapter Review  Exercises  Chapter 10. Further Applications of Trigonometry  Introduction to Further Applications of Trigonometry  10.1 Nonright Triangles: Law of Sines  10.2 Nonright 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  Chapter Review  Exercises  Chapter 11. Systems of Equations and Inequalities  Introduction to 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  Chapter Review  Exercises  Chapter 12. Analytic Geometry  Introduction to Analytic Geometry  12.1 The Ellipse  12.2 The Hyperbola  12.3 The Parabola  12.4 Rotation of Axes  12.5 Conic Sections in Polar Coordinates  Chapter Review  Exercises  Chapter 13. Sequences, Probability, and Counting Theory  Introduction to 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  Chapter Review  Exercises  Appendix A. Proofs, Identities, and Toolkit Functions  Answer Key  Index 
Summary 
Algebra and Trigonometry 2e provides a comprehensive exploration of mathematical 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 addresses the needs of a variety of courses. Algebra and Trigonometry 2e 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. The Algebra and Trigonometry 2e revision focused on improving relevance and representation as well as mathematical clarity and accuracy. Introductory narratives, examples, and problems were reviewed and revised using a diversity, equity, and inclusion framework. Many contexts, scenarios, and images have been changed to become even more relevant to students' lives and interests. To maintain our commitment to accuracy and precision, examples, exercises, and solutions were reviewed by multiple faculty experts. All improvement suggestions and errata updates from the first edition were considered and unified across the different formats of the text. The first edition of Algebra and Trigonometry by OpenStax is available in web view here 
Notes 
Attribution 

In English 

Description based on print resource 
Subject 
Mathematics  Textbooks


Algebra  Textbooks


Geometry and Trigonometry  Textbooks


Algebra.


Mathematics.

Genre/Form 
Textbooks.

Form 
Electronic book

Author 
Open Textbook Library distributor

ISBN 
1938168372 

9781938168376 
