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Analytic Trigonometry, by Dr. Eduardo Jesus Arismendi-Pardi
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A course in analytic trigonometry should serve a twofold purpose. First, to provide a solid foundation for liberal arts students who elect a small amount of mathematics and who wish to obtain an insight into mathematics as it is applied to practical situations. Second, analytic trigonometry should provide a solid mathematical foundation for students who wish to pursue further studies in mathematics and/or physical and natural sciences. The presentation of the content of this book is mathematically rigorous in terms of notation and its exercises. The treatment of analytic trigonometry in this book has been developed with the function concept as a basic foundation to the development of concepts presented. The emphasis of this book is grounded on the periodic nature of the circular and trigonometric functions and the relationship among these functions. The organization of the material presented lends itself to flexibility in terms the selection and sequence of topics to be presented. The student undertaking the study of analytic trigonometry must have a strong prerequisite in both geometry and intermediate algebra. Answers to every problem in the textbook are provided immediately after the exercises are presented except for those exercises involving proofs of theorems and identities.
- Sales Rank: #4400913 in Books
- Published on: 2012
- Binding: Spiral-bound
- 378 pages
Most helpful customer reviews
1 of 1 people found the following review helpful.
I LOVE THIS BOOK!
By Paige
This book has everything you could ever want to know about trig! The problems are challenging in a great way. You will be EXTREMELY grateful you used this book!
ANALYTIC TRIGONOMETRY
Chapter 1: Numbers and Coordinate System
Section 1.1: Introduction
Section 1.2: Numbers
Section 1.3: One Dimensional Coordinate System
Section 1.4: Two Dimensional Coordinate System
Section 1.5: The Distance Formula
Section 1.6: The Circle and Arc Length
Section 1.7: Summary
Chapter 2: Circular Functions
Section 2.1: Introduction
Section 2.2: The Cosine and Sine Functions
Section 2.3: More Special values for cos s and sin s
Section 2.4: Reduction Formulas for the Cosine Function
Section 2.5: Reduction Formulas for the Sine Function
Section 2.6: The Tangent Function
Section 2.7: The Secant, Cosecant, and Cotangent Functions
Section 2.8: Summary
Chapter 3: Graphs of Circular Functions
Section 3.1: Introduction
Section 3.2: Graphs of Sine and Cosine Functions
Section 3.3: General Sine Waves
Section 3.4: Graphs of Other Circular Functions
Section 3.5: Graphical Addition and Parametric Equations
Section 3.6: Summary
Chapter 4: Inverses of the Circular Functions
Section 4.1: Introduction
Section 4.2: Inverse Functions and Their Graphs
Section 4.3: Applications of Inverse Notation
Section 4.4: Summary
Chapter 5: Trigonometric Functions
Section 5.1: Introduction
Section 5.2: Angles and Their Measures
Section 5.3: Applied Problems (Physics)—Uniform Circular Motion
Section 5.4: Trigonometric Ratios and Functions
Section 5.5: Function Values for Trigonometric Functions
Section 5.6: Inverse Trigonometric Functions
Section 5.7: Summary
Chapter 6: Triangles and Vectors
Section 6.1; Introduction
Section 6.2: Right Triangles
Section 6.3: The law of Sines
Section 6.4: The Law of Cosines
Section 6.5: The Law of Tangents
Section 6.6: Geometric Vectors
Section 6.7: Applications of Geometric Vectors
Section 6.8: Summary
Chapter 7: Identities and Conditional Equations
Section 7.1: Introduction
Section 7.2: Basic Identities
Section 7.3: Double Angle Identities
Section 7.4: Half Angle Identities
Section 7.5: Conditional Equations and Functions
Section 7.6: Conditional Equations of More Than one Function
Section 7.7: Conditional Equations for Multiple Angles
Section 7.8: Summary
Chapter 8: Vectors and Polar Coordinates
Section 8.1: Introduction
Section 8.2: Vectors as Ordered pairs
Section 8.3: Basic Vector Operations
Section 8.4: Dot Products
Section 8.5: Three Dimensional Vectors
Section 8.6: Polar Coordinates
Section 8.7: Summary
Chapter 9: Complex Numbers and De Moivre’s Theorem
Section 9.1: Introduction
Section 9.2: Sums and Products of Complex Numbers
Section 9.3: Differences and Quotients
Section 9.4: Graphical Representation of Complex Numbers
Section 9.5: Trigonometric Form
Section 9.6: De Moivre’s Theorem
Section 9.7: Summary
0 of 1 people found the following review helpful.
DO NOT BUY THIS BOOK!!!!!!!
By Melissa Coulter
DO NOT BUY THIS BOOK!!!!!!!
This book has 0 problems in it. EVERY chapter is not headed clearly, a nightmare for any math student!
The thing every math teacher teaches is, do the homework, and beat in with examples, so you can clearly understand and reproduce the examples on the test you take in class.
This book tries to read like a normal non-fiction biography of trig, and gives few examples of what it is talking about so all of you visual and tacktile learners out there... you are asleep in 2 pages, while waking up to.... still have no clue WTF it is talking about.
100% a waste of $100.
buy another book for trig that has Homework and examples, follow along in class and ...
DO NOT BUY THIS BOOK!!!!!!!
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