Trigonometry Alternate

  • AUTHOR: Ron Larson
  • ISBN-13: 9780495970668 
  • Grade(s): 9 | 10 | 11 | 12
  • 561 Pages  Hardcover 
  • 8th Edition
  • ©2011     Published
  • Prices are valid only in the respective region

Overview

About The Product

This Alternate edition of this market-leading text eliminates the chapter on EXPONENTIAL AND LOGARITHMIC FUNCTIONS while it continues to provide students and instructors with sound, consistently structured explanations of the mathematical concepts. Designed for a one-term course that prepares students to study calculus, the new Eighth Edition retains the features that have made Trigonometry a complete solution for both students and instructors: interesting applications, cutting-edge design, and innovative technology combined with an abundance of carefully written exercises.

Features

  • Side-by-side Example Solutions for select examples include multiple problem solving approaches--such as algebraic, graphical, and numerical--to appeal to a variety of teaching and learning styles.
  • Checkpoints after each Example/Solution refer students to similar drills in the Section Exercises, allowing students to practice and reinforce the concepts they just learned. Answers to Checkpoints are included at the back of the book.
  • Checkpoints after each Example/Solution refer students to similar drills in the Section Exercises, allowing students to practice and reinforce the concepts they just learned. Answers to Checkpoints are included at the back of the book.
  • Exercise Sets have been carefully analyzed and revised to improve the categorization of problems from basic skill-building to challenging; improve the pairing of similar odd- and even-numbered exercises; update all real data; and add real-life and real-data applications.
  • Make a Decision applications--presented throughout the text at the end of selected exercise sets--are based on large sets of real data. These extended modeling applications give students the opportunity to use all the mathematical concepts and techniques they've learned and apply them to large sets of real date--analyzing it, graphing it, and making conjectures about its behavior. These applications are featured in Eduspace and the Online Learning Center in an interactive format.

About the Contributor

AUTHOR
  • Ron Larson

    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 2014 Text and Academic Authors Association TEXTY Award for PRECALCULUS, 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 best-selling Calculus series published by Cengage Learning.

Table of Contents

P. PREREQUISITES.
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 Functions. Transformations of Functions. Combinations of Functions: Composite Functions. Inverse Functions. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.
1. TRIGONOMETRY.
Radian and Degree Measure. Trigonometric Functions: The Unit Circle. Right Triangle Trigonometry. Trigonometric Functions of Any Angle. Graphs of Sine and Cosine Functions. Graphs of Other Trigonometric Functions. Inverse Trigonometric Functions. Applications and Models. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.
2. ANALYTIC TRIGONOMETRY.
Using Fundamental Identities. Verifying Trigonometric Identities. Solving Trigonometric Equations. Sum and Difference Formulas. Multiple-Angle and Product-to-Sum Formulas. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.
3. ADDITIONAL TOPICS IN TRIGONOMETRY.
Law of Sines. Law of Cosines. Vectors in the Plane. Vectors and Dot Products. Chapter Summary. Review Exercises. Chapter Test. Cumulative Test: Chapters 1-3. Proofs in Mathematics. P.S. Problem Solving.
4. COMPLEX NUMBERS.
Complex Numbers. Complex Solutions of Equations. Trigonometric Form of a Complex Number. DeMoivre's Theorem. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.
6. TOPICS IN ANALYTIC GEOMETRY.
Lines. Introduction to Conics: Parabolas. Ellipses. Hyperbolas. Rotation of Conics. Parametric Equations. Polar Coordinates. Graphs of Polar Equations. Polar Equations of Conics. Chapter Summary. Review Exercises. Chapter Test. Cumulative Test: Chapters 4-6. Proofs in Mathematics. P.S. Problem Solving.
APPENDIX A: CONCEPTS IN STATISTICS (WEB).
Representing Data. Measures of Central Tendency and Dispersion. Least Squares Regression.

New to this Edition

  • NEW Cap Stone Exercises – the Cap Stone exercises assesses students understanding of all concepts covered in the section's material.
  • NEW detailed Chapter Review – The new edition now includes explanations and/or examples for all learning objectives. This will further promote students' understanding of the material.
  • NEW Caution/Warning boxes – The warnings cautions students away from common errors and pitfalls.
  • NEW Algebra Helps – the author provides appropriate caution boxes, study tips and algebra helps to guide the student through difficult concepts.
  • Improved Examples (graphical solution side by side with algebraic solution). This is intended to improve the students graphical understanding of algebra.
  • New/Revised End of section exercises.
  • Enhanced WebAssign.