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9780135181133

Trigonometry A Unit Circle Approach

by
  • ISBN13:

    9780135181133

  • ISBN10:

    0135181135

  • Edition: 11th
  • Format: Hardcover
  • Copyright: 2019-06-12
  • Publisher: Pearson

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Supplemental Materials

What is included with this book?

Summary

For courses in Trigonometry.


Prepare. Practice. Review.

Michael Sullivan’s time-tested approach focuses students on the fundamental skills they need for the course: preparing for class, practicing with homework, and reviewing the concepts. The 11th Edition continues to evolve to meet the needs of today’s students.


This series prepares and supports students with access to help, where and when they require it. The hallmark Sullivan cycle of continuous preparation and retention – along with the high-quality exercises that Sullivan texts are known for – gives students the reinforcement they need. 


Also available with MyLab Math 

By combining trusted author content with digital tools and a flexible platform, MyLab Math personalizes the learning experience and improves results for each student. 


Note: You are purchasing a standalone product; MyLab Math does not come packaged with this content. Students, if interested in purchasing this title with MyLab Math, ask your instructor to confirm the correct package ISBN and Course ID. Instructors, contact your Pearson representative for more information.


If you would like to purchase both the physical text and MyLab Math, search for:


0135240786 / 9780135240786 Trigonometry Plus MyLab Math with eText - Access Card Package

Package consists of:

  • 0135181135 / 9780135181133 Trigonometry: A Unit Circle Approach
  • 0135189713 / 9780135189719 MyLab Math with Pearson eText - Standalone Access Card - for Trigonometry: A Unit Circle Approach


Author Biography

Mike Sullivan recently retired as Professor of Mathematics at Chicago State University, having taught there for more than 30 years. He received his PhD in mathematics from Illinois Institute of Technology. He is a native of Chicago’s South Side and currently resides in Oak Lawn, Illinois. Mike has four children; the two oldest have degrees in mathematics and assisted in proofing, checking examples and exercises, and writing solutions manuals for this project. His son, Mike Sullivan, III, co-authored the Sullivan Graphing with Data Analysis series as well as this series. Mike has authored or co-authored more than ten books. He owns a travel agency, and splits his time between a condo in Naples, Florida and a home in Oak Lawn, where Mike enjoys gardening.

 

Mike Sullivan, III is a professor of mathematics at Joliet Junior College. He holds graduate degrees from DePaul University in both mathematics and economics. Mike is an author or co-author on more than 20 books, including a statistics book and a developmental mathematics series. Mike is the father of three children and an avid golfer who tries to spend as much of his limited free time as possible on the golf course.

Table of Contents

1. Graphs and Functions
1.1 The Distance and Midpoint Formulas
1.2 Graphs of Equations in Two Variables; Circles
1.3 Functions and Their Graphs
1.4 Properties of Functions
1.5 Library of Functions; Piecewise-defined Functions
1.6 Graphing Techniques: Transformations
1.7 One-to-One Functions; Inverse Functions
Chapter 1 Review, Test, and Projects

2. Trigonometric Functions
2.1 Angles, Arc, Length, and Circular Motion
2.2 Trigonometric Functions: Unit Circle Approach
2.3 Properties of the Trigonometric Functions
2.4 Graphs of the Sine and Cosine Functions
2.5 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions
2.6 Phase Shift; Sinusoidal Curve Fitting
Chapter 2 Review, Test, and Projects

3. Analytic Trigonometry
3.1 The Inverse Sine, Cosine, and Tangent Functions
3.2 The Inverse Trigonometric Functions (Continued)
3.3 Trigonometric Equations
3.4 Trigonometric Identities
3.5 Sum and Difference Formulas
3.6 Double-angle and Half-angle Formulas
3.7 Product-to-Sum and Sum-to-Product Formulas
Chapter 3 Review, Test, and Projects

4. Applications of Trigonometric Functions
4.1 Right Triangle Trigonometry; Applications
4.2 The Law of Sines
4.3 The Law of Cosines
4.4 Area of a Triangle
4.5 Simple Harmonic Motion; Damped Motion; Combining Waves
Chapter 4 Review, Test, and Projects

5. Polar Coordinates; Vectors

5.1 Polar Coordinates

5.2 Polar Equations and Graphs

5.3 The Complex Plane; De Moivre’s Theorem

5.4 Vectors

5.5 The Dot Product

5.6 Vectors in Space

5.7 The Cross Produc

Chapter 5 Review, Test, and Projects

6. Analytic Geometry
6.1 Conics
6.2 The Parabola
6.3 The Ellipse
6.4 The Hyperbola
6.5 Rotation of Axes; General Form of a Conic
6.6 Polar Equations of Conics
6.7 Plane Curves and Parametric Equations
Chapter 6 Review, Test, and Projects

7. Exponential and Logarithmic Functions
7.1 Exponential Functions
7.2 Logarithmic Functions
7.3 Properties of Logarithms
7.4 Logarithmic and Exponential Equations
7.5 Financial Models
7.6 Exponential Growth and Decay Models; Newton’s Law; Logistic Growth and Decay
7.7 Building Exponential, Logarithmic, and Logistic Models from Data
Chapter 7 Review, Test, and Projects

Appendix A: Review
A.1 Algebra Essentials
A.2 Geometry Essentials
A.3 Factoring Polynomials; Completing the Square
A.4 Solving Equations
A.5 Complex Numbers; Quadratic Equations in the Complex Number System
A.6 Interval Notation; Solving Inequalities
A.7 nth Roots; Rational Exponents
A.8 Lines

Appendix B: Graphing Utilities
B.1 The Viewing Rectangle
B.2 Using a Graphing Utility to Graph Equations
B.3 Using a Graphing Utility to Locate Intercepts and Check for Symmetry
B.4 Using a Graphing Utility to Solve Equations
B.5 Square Screens
B.6 Using a Graphing Utility to Graph Inequalities
B.7 Using a Graphing Utility to Solve Systems of Linear Equations
B.8 Using a Graphing Utility to Graph a Polar Equation
B.9 Using a Graphing Utility to Graph Parametric Equations


 

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