Trigonometry: A Right Triangle Approach, 1st Edition

Ron Larson

Copyright 2022
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Trigonometry: A Right Triangle Approach 1st Edition by Ron Larson

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Overview

Engage your students and prepare them for success in your course and beyond with the student-focused approach of Ron Larson and WebAssign. Developed through learning design principles, Larson removes barriers to learning and offers a carefully planned and inclusive experience for all students. Larson introduces trigonometric functions via the right triangle and presents concepts clearly, offering a wealth of learning support that includes free text-specific tutorial support at CalcView.com and CalcChat.com. Students facing readiness gaps will overcome them with “Review & Refresh” exercises and WebAssign support. Taking their understanding to the next level, students apply mathematical concepts with “Exploring the Concepts” sections, “How Do You See It?” exercises, and "Explore It" interactive learning modules.

Meet the Authors

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Ron Larson

Dr. Ron Larson is a professor of mathematics at the Pennsylvania State University, where he has taught since 1970. He is considered the pioneer of using multimedia to enhance the learning of mathematics, having authored more than 30 software titles since 1990. Dr. Larson has also authored numerous acclaimed textbooks, including the best-selling calculus series coauthored with Dr. Bruce Edwards and published by Cengage. Dr. Larson received the 2017 William Holmes McGuffey Longevity Award for PRECALCULUS and for CALCULUS. He also received the 2018 Text and Academic Authors Association TEXTY Award for CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS. In addition, Dr. Larson received 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.

Features

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Review & Refresh exercises–cumulative review exercises from current or prerequisite courses within each section exercise set–prepare students for the next section and provide a general skill review throughout the text.
Skills Refresher videos provide timely support by covering previously learned skills that students need to better understand a concept, example or definition.
Exploring the Concepts sections, Vocabulary and Concept Checks build student confidence and develop conceptual understanding.
Summary and Study Strategies help students succeed in the course by offering explanations and examples of both the key objectives and essential study skills for each chapter.
WebAssign provides instructors with the tools needed to build students’ confidence and elevate their performance. WebAssign offers built-in flexibility and control for instructors with high quality content that students can afford.
Text-specific tutorial videos at Larson’s CalcView.com provide instruction with stepped-out solutions for selected exercises.
Learning support at Larson’s CalcChat.com provides students with free online tutoring and solutions to all odd-numbered problems.
How Do You See It? exercises in every section present real-life problems that students solve by visual inspection using the concepts in the lesson.
Side-By-Side Examples help students see not only that a problem can be solved in more than one way but also how different methods--algebraic, graphical, and numerical--yield the same result. The side-by-side format also addresses many different learning styles.
Algebra of Calculus examples and exercises throughout the text emphasize various algebraic techniques used in calculus.

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1. RIGHT TRIANGLE TRIGONOMETRY.
Angles, Degree Measure, and Special Triangles. Similar Triangles. Trigonometric Functions: Right Triangle Ratios. Solving Right Triangles. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.
2. TRIGONOMETRIC FUNCTIONS.
Trigonometric Functions of Any Angle. Radian Measure. The Unit Circle and Trigonometric Functions. Basic Trigonometric Identities. Chapter Summary. Review Exercises. Chapter Test. Cumulative Test for Chapters 1-2. Proofs in Mathematics. P.S. Problem Solving.
3. GRAPHS OF TRIGONOMETRIC FUNCTIONS.
Graphs of Sine and Cosine Functions. Transformations of the Graphs of Sine and Cosine Functions. Graphs of Other Trigonometric Functions. Inverse Trigonometric Functions. Solving Trigonometric Equations Algebraically and Graphically. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.
4. ANALYTIC TRIGONOMETRY.
Using Fundamental Identities. Verifying Trigonometric Identities. Sum and Difference Formulas. Multiple-Angle Formulas. Product-to-Sum and Sum-to-Product Formulas. Solving Trigonometric Equations Using Identities and Formulas. Chapter Summary. Review Exercises. Chapter Test. Cumulative Test for Chapters 3-4. Proofs in Mathematics. P.S. Problem Solving.
5. ADDITIONAL TOPICS IN TRIGONOMETRY.
Law of Sines. Law of Cosines. Vectors in the Plane. Vectors and Dot Products. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.
6. COMPLEX NUMBERS, PARAMETRIC EQUATIONS, AND POLAR EQUATIONS.
Complex Numbers. Trigonometric Form of a Complex Number. DeMoivre's Theorem. Parametric Equations. Polar Coordinates. Graphs of Polar Equations. Chapter Summary. Review Exercises. Chapter Test. Cumulative Test for Chapters 5-6. Proofs in Mathematics. P.S. Problem Solving.
APPENDIX A: ALGEBRA REVIEW.
Review of Real Numbers and Their Properties. Solving Equations. The Cartesian Plane and Graphs of Equations. Linear Equations in Two Variables. Functions. Analyzing Graphs of Functions. A Library of Parent Functions. Transformations of Functions. Combinations of Functions: Composite Functions. Inverse Functions.
APPENDIX B: CONCEPTS IN STATISTICS (ONLINE)
Representing Data. Analyzing Data. Modeling Data.