Includes index. Open textbook licensed under Creative Commons Attribution International License v 4.0.
Contents:
Prerequisites -- Equations and inequalities -- Functions -- Linear functions -- Polynomial and rational functions -- Exponential and logarithmic functions -- The unit circle : sine and cosine functions -- Periodic functions -- Trigonometric identities and equations -- Further applications of trigonometry -- Systems of equations and inequalities -- Analytic geometry -- Sequences, probability, and counting theory -- Proofs, identities, and toolkit functions. on 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 on 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.
This resource is supported by the Institute of Museum and Library Services under the provisions of the Library Services and Technology Act as administered by State Library of Iowa.