This text introduces trigonometry first with a unit circle approach and then with the right triangle. As the best-selling text in the field, Trigonometry provides unparalleled exercises, motivating real-life applications, a supportive pedagogical design, and innovative ancillaries and resources, making it a complete solution for both students and instructors.New! Model It real-life applications in nearly every text section are multi-part exercises that require students to generate and analyze mathematical models. First referenced in the Why You Should Learn It at the beginning of each section, these interesting applications illustrate why it is important to learn the concepts in each section.New! Enlarged printable graphs in many exercise sets contain problems asking students to draw on the graph provided.For added convenience, in the Sixth Edition these proofs have been moved from an appendix to the end of relevant chapters.New! P.S. Problem Solving, at the conclusion of each chapter, features a collection of thought-provoking and challenging exercises that further explore and expand upon the concepts of the chapter. These exercises have unique characteristics that set them apart from traditional algebra and trigonometry exercises.New! A wealth of student success tools includes: How to Study This Chapter, a chapter-opening study guide that includes What you should learn (section-opening objectives), Important Vocabulary, a list of Study Tools, and a list of Additional Resources to help the student prepare for the chapter; Why you should learn it, a section-opening, real-life application or a reference to other branches of mathematics, illustrating the relevance of the section's content; and What did you learn, a concise chapter summary organized by section. These objectives are correlated to the chapter Review Exercises to help students prepare for exams
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Note: Each chapter concludes with a Chapter Summary, Review Exercises, a Chapter Test, Proofs in Mathematics, and P.S. Problem Solving. P. Prerequisites P.1 Review of Real Numbers and Their Properties P.2 Solving Equations P.3 The Cartesian Plane and Graphs of Equations P.4 Linear Equations in Two Variables P.5 Functions P.6 Analyzing Graphs of Functions P.7 A Library of Functions P.8 Transformations of Functions P.9 Combinations of Functions: Composite Functions P.10 Inverse Functions 1. Trigonometry 1.1 Radian and Degree Measure 1.2 Trigonometric Functions: The Unit Circle 1.3 Right Triangle Trigonometry 1.4 Trigonometric Functions of Any Angle 1.5 Graphs of Sine and Cosine Functions 1.6 Graphs of Other Trigonometric Functions 1.7 Inverse Trigonometric Functions 1.8 Applications and Models 2. Analytic Trigonometry 2.1 Using Fundamental Identities 2.2 Verifying Trigonometric Identities 2.3 Solving Trigonometric Equations 2.4 Sum and Difference Formulas 2.5 Multiple-Angle and Product-to-Sum Formulas 3. Additional Topics in Trigonometry 3.1 Law of Sines 3.2 Law of Cosines 3.3 Vectors in the Plane 3.4 Vectors and Dot Products Cumulative Test: Chapters 1-3 4. Complex Numbers 4.1 Complex Numbers 4.2 Complex Solutions of Equations 4.3 Trigonometric Form of a Complex Number 4.4 DeMoivre's Theorem 5. Exponential and Logarithmic Functions 5.1 Exponential Functions and Their Graphs 5.2 Logarithmic Functions and Their Graphs 5.3 Properties of Logarithms 5.4 Exponential and Logarithmic Equations 5.5 Exponential and Logarithmic Models 6. Topics in Analytic Geometry 6.1 Lines 6.2 Introduction to Conics: Parabolas 6.3 Ellipses 6.4 Hyperbolas 6.5 Rotation of Conics 6.6 Parametric Equations 6.7 Polar Coordinates 6.8 Graphs of Polar Equations 6.9 Polar Equations of Conics Cumulative Test: Chapters 4-6 Appendix A: Concepts in Statistics (web) A.1 Representing Data A.2 Measures of Central Tendency and Dispersion A.3 Least Squares Regression
Dr. Ron Larson is a professor of mathematics at The Pennsylvania State University, where he has taught since 1970. He received his Ph.D. in mathematics from the University of Colorado and is considered the pioneer of using multimedia to enhance the learning of mathematics, having authored over 30 software titles since 1990. Dr. Larson conducts numerous seminars and in-service workshops for math educators around the country about using computer technology as an instructional tool and motivational aid. He is the recipient of the 2014 William Holmes McGuffey Longevity Award for CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS, the 2013 Text and Academic Authors Association Award for CALCULUS, the 2012 William Holmes McGuffey Longevity Award for CALCULUS: AN APPLIED APPROACH, and the 1996 Text and Academic Authors Association TEXTY Award for INTERACTIVE CALCULUS (a complete text on CD-ROM that was the first mainstream college textbook to be offered on the Internet). Dr. Larson authors numerous textbooks including the bestselling Calculus series published by Cengage.
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