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Algebra and Trigonometry (Fall 2020 Corrected Edition) PDF

1220 Pages·2017·82.39 MB·English
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Algebra and Trigonometry senior contributing author Jay abramson, arizona state University About Our Team Senior Contributing Author Jay Abramson has been teaching Algebra and Trigonometry for 33 years, the last 14 at Arizona State University, where he is a principal lecturer in the School of Mathematics and Statistics. His accomplishments at ASU include co-developing the uni- versity’s first hybrid and online math courses as well as an extensive library of video lectures and tutorials. In addition, he has served as a contributing author for two of Pearson Education’s math programs, NovaNet Precalculus and Trigonometry. Prior to coming to ASU, Jay taught at Texas State Technical College and Amarillo College. He received Teacher of the Year awards at both institutions. Contributing Authors The following faculty contributed to the development of OpenStax Valeree Falduto, Palm Beach State College Precalculus, the text from which this product was updated and derived. Rachael Gross, Towson University Honorable Mention David Lippman, Pierce College Nina Alketa, Cecil College Melonie Rasmussen, Pierce College Kiran Bhutani, Catholic University of America Rick Norwood, East Tennessee State University Brandie Biddy, Cecil College Nicholas Belloit, Florida State College Jacksonville Lisa Blank, Lyme Central School Jean-Marie Magnier, Springfield Technical Community College Bryan Blount, Kentucky Wesleyan College Harold Whipple Jessica Bolz, The Bryn Mawr School Christina Fernandez Sheri Boyd, Rollins College Reviewers Sarah Brewer, Alabama School of Math and Science Phil Clark, Scottsdale Community College Charles Buckley, St. Gregory's University Michael Cohen, Hofstra University Michael Cohen, Hofstra University Charles Conrad, Volunteer State Community College Kenneth Crane, Texarkana College David French, Tidewater Community College Rachel Cywinski, Alamo Colleges Matthew Goodell, SUNY Ulster Nathan Czuba Lance Hemlow, Raritan Valley Community College Srabasti Dutta, Ashford University Dongrin Kim, Arizona State University Kristy Erickson, Cecil College Cynthia Landrigan, Eerie Community College Nicole Fernandez, Georgetown University / Kent State University Wendy Lightheart, Lane Community College David French, Tidewater Community College Chinenye Ofodile, Albany State University Douglas Furman, SUNY Ulster Carl Penziul, Tompkins-Cortland Community College Lance Hemlow, Raritan Valley Community College Sandra Nite, Texas A&M University Erinn Izzo, Nicaragua Christian Academy Eugenia Peterson, Richard J. Daley College John Jaffe Rhonda Porter, Albany State University Jerry Jared, Blue Ridge School Michael Price, University of Oregon Stan Kopec, Mount Wachusett Community College Steven Purtee, Valencia College Kathy Kovacs William Radulovich, Florida State College Jacksonville Cynthia Landrigan, Erie Community College Camelia Salajean, City Colleges of Chicago Sara Lenhart, Christopher Newport University Katy Shields, Oakland Community College Wendy Lightheart, Lane Community College Nathan Schrenk, ECPI University Joanne Manville, Bunker Hill Community College Pablo Suarez, Delaware State University Karla McCavit, Albion College Allen Wolmer, Atlanta Jewish Academy Cynthia McGinnis, Northwest Florida State College Lana Neal, University of Texas at Austin Rhonda Porter, Albany State University Steven Purtee, Valencia College William Radulovich, Florida State College Jacksonville Alice Ramos, Bethel College Nick Reynolds, Montgomery Community College Amanda Ross, A. A. Ross Consulting and Research, LLC Erica Rutter, Arizona State University Sutandra Sarkar, Georgia State University Willy Schild, Wentworth Institute of Technology Todd Stephen, Cleveland State University Scott Sykes, University of West Georgia Linda Tansil, Southeast Missouri State University John Thomas, College of Lake County Diane Valade, Piedmont Virginia Community College Allen Wolmer, Atlanta Jewish Academy OpenStax OpenStax provides free, peer-reviewed, openly licensed textbooks for introductory college and Advanced Placement® courses and low-cost, personalized courseware that helps students learn. A nonprofit ed tech initiative based at Rice University, we’re committed to helping students access the tools they need to complete their courses and meet their educational goals. Rice University OpenStax and OpenStax CNX are initiatives of Rice University. As a leading research university with a distinctive commitment to undergraduate education, Rice University aspires to path-breaking research, unsurpassed teaching, and contributions to the betterment of our world. It seeks to fulfill this mission by cultivating a diverse community of learning and discovery that produces leaders across the spectrum of human endeavor. Foundation Support OpenStax is grateful for the tremendous support of our sponsors. Without their strong engagement, the goal of free access to high-quality textbooks would remain just a dream. Laura and John Arnold Foundation (LJAF) actively seeks opportunities to invest in organizations and thought leaders that have a sincere interest in implementing fundamental changes that not only yield immediate gains, but also repair broken systems for future generations. LJAF currently focuses its strategic investments on education, criminal justice, research integrity, and public accountability. The William and Flora Hewlett Foundation has been making grants since 1967 to help solve social and environmental problems at home and around the world. The Foundation concentrates its resources on activities in education, the environment, global development and population, performing arts, and philanthropy, and makes grants to support disadvantaged communities in the San Francisco Bay Area. Guided by the belief that every life has equal value, the Bill & Melinda Gates Foundation works to help all people lead healthy, productive lives. In developing countries, it focuses on improving people’s health with vaccines and other life-saving tools and giving them the chance to lift themselves out of hunger and extreme poverty. In the United States, it seeks to significantly improve education so that all young people have the opportunity to reach their full potential. Based in Seattle, Washington, the foundation is led by CEO Jeff Raikes and Co-chair William H. 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Kazanjian Economics Foundation Inc, in 1949 as a philanthropic, nonpolitical educational organization to support efforts that enhanced economic understanding. The Bill and Stephanie Sick Fund supports innovative projects in the areas of Education, Art, Science and Engineering OpenStax - If you redistribute part of this textbook, then you must display on every digital format page view (including but not limited to EPUB, PDF, and Rice University HTML) and on every physical printed page the following attribution: 6100 Main Street MS-375 "Download for free at https://openstax.org/details/books/algebra-and- Houston, Texas 77005 trigonometry." To learn more about OpenStax, visit http://openstax.org. - If you use this textbook as a bibliographic reference, please include Individual print copies and bulk orders can be purchased through our https://openstax.org/details/books/algebra-and-trigonometry in your website. citation." © 2017 Rice University. 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[email protected]. - If you redistribute this textbook in a print format, then you must include on every physical page the following attribution: "Download for PRINT ISBN-10 1-938168-37-2 free at https://openstax.org/details/books/algebra-and-trigonometry. PRINT ISBN-13 978-1-938168-37-6 PDF ISBN-10 1-947172-10-7 PDF ISBN-13 978-1-947172-10-4 Revision AT-2015-002(03/17)-BW Original Publication Year: 2015 Study where you want, what you want, when you want. When you access College Success in our web view, you can use our new online highlighting and note-taking features to create your own study guides. Our books are free and flexible, forever. Get started at openstax.org/details/books/algebra-and-trigonometry Access. The future of education. openstax.org Brief Contents 1 Prerequisites 1 2 Equations and Inequalities 73 3 Functions 159 4 Linear Functions 279 5 Polynomial and Rational Functions 343 6 Exponential and Logarithmic Functions 463 7 The Unit Circle: Sine and Cosine Functions 575 8 Periodic Functions 641 9 Trigonometric Identities and Equations 695 10 Further Applications of Trigonometry 761 11 Systems of Equations and Inequalities 875 12 Analytic Geometry 981 13 Sequences, Probability and Counting Theory 1055 i

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