Title:
College trigonometry
Personal Author:
Edition:
5th ed.
Publication Information:
Boston : Houghton Mifflin Co., 2004
ISBN:
9780618388042
Subject Term:
Available:*
Library | Item Barcode | Call Number | Material Type | Item Category 1 | Status |
|---|---|---|---|---|---|
Searching... | 30000010078349 | QA531 A87 2004 | Open Access Book | Book | Searching... |
On Order
Summary
Summary
Provides a supportive environment to help students successfully learn the content of a standard trigonometry course. By incorporating interactive learning techniques, this text helps students to better understand concepts, focus their studying habits and obtain greater mathematical success.
Table of Contents
| Note: Each chapter concludes with a Summary, True/False Exercises, Review Exercises, and a Test. Chapters 27 include Cumulative Review Exercises |
| 1 Functions and Graphs |
| Section 1.1 Equations and Inequalities |
| Section 1.2 A Two-Dimensional Coordinate System and Graphs |
| Section 1.3 Introduction to Functions |
| Section 1.4 Properties of Graphs |
| Section 1.5 The Algebra of Functions |
| Section 1.6 Inverse Functions |
| Section 1.7 Modeling Data Using Regression |
| Exploring Concepts with Technology: Graphing Piecewise Functions with a Graphing Calculator |
| 2 Trigonometric Functions |
| Section 2.1 Angles and Arcs |
| Section 2.2 Trigonometric Functions of Acute Angles |
| Section 2.3 Trigonometric Functions of Any Angle |
| Section 2.4 Trigonometric Functions of Real Numbers |
| Section 2.5 Graphs of the Sine and Cosine Functions |
| Section 2.6 Graphs of the Other Trigonometric Functions |
| Section 2.7 Graphing Techniques |
| Section 2.8 Harmonic Motion--An Application of the Sine and Cosine Functions |
| Exploring Concepts with Technology: Sinusoidal Families |
| 3 Trigonometric Identities and Equations |
| Section 3.1 Verification of Trigonometric Identities |
| Section 3.2 Sum, Difference, and Cofunction Identities |
| Section 3.3 Double- and Half-Angle Identities |
| Section 3.4 Identities Involving the Sum of Trigonometric Functions |
| Section 3.5 Inverse Trigonometric Functions |
| Section 3.6 Trigonometric Equations |
| Exploring Concepts with Technology: Approximate an Inverse Trigonometric Function with Polynomials |
| 4 Applications of Trigonometry |
| Section 4.1 The Law of Sines |
| Section 4.2 The Law of Cosines and Area |
| Section 4.3 Vectors |
| Exploring Concepts with Technology: Optimal Branching of Arteries |
| 5 Complex Numbers |
| Section 5.1 Complex Numbers |
| Section 5.2 Trigonometric Form of Complex Numbers |
| Section 5.3 De Moivre's Theorem |
| Exploring Concepts with Technology: The Mandelbrot Replacement Procedure |
| 6 Topics in Analytic Geometry |
| Section 6.1 Parabolas |
| Section 6.2 Ellipses |
| Section 6.3 Hyperbolas |
| Section 6.4 Rotation of Axes |
| Section 6.5 Introduction to Polar Coordinates |
| Section 6.6 Polar Equations of the Conics |
| Section 6.7 Parametric Equations |
| Exploring Concepts with Technology: Using a Graphing Calculator to Find the nth Roots of z |
| 7 Exponential and Logarithmic Functions |
| Section 7.1 Exponential Functions and Their Applications |
| Section 7.2 Logarithmic Functions and Their Applications |
| Section 7.3 Logarithms and Logarithmic Scales |
| Section 7.4 Exponential and Logarithmic Equations |
| Section 7.5 Exponential Growth and Decay |
| Section 7.6 Modeling Data with Exponential and Logarithmic Functions |
| Exploring Concepts with Technology: Using a Semilog Graph to Model Exponential Decay |
| Solutions to the Try Exercises |
| Answers to Selected Exercises |
| Index |
