
College Trigonometry
by Aufmann, Richard N.; Barker, Vernon C.; Nation, Richard D.-
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Summary
Table of Contents
Note: Each chapter concludes with a Summary, True/False Exercises, Review Exercises, and a Test. Chapters 2–7 include Cumulative Review Exercises | |
Functions and Graphs | |
Equations and Inequalities | |
A Two-Dimensional Coordinate System and Graphs | |
Introduction to Functions | |
Properties of Graphs | |
The Algebra of Functions | |
Inverse Functions | |
Modeling Data Using Regression | |
Exploring Concepts with Technology: Graphing Piecewise Functions with a Graphing Calculator | |
Trigonometric Functions | |
Angles and Arcs | |
Trigonometric Functions of Acute Angles | |
Trigonometric Functions of Any Angle | |
Trigonometric Functions of Real Numbers | |
Graphs of the Sine and Cosine Functions | |
Graphs of the Other Trigonometric Functions | |
Graphing Techniques | |
Harmonic Motion--An Application of the Sine and Cosine Functions | |
Exploring Concepts with Technology: Sinusoidal Families | |
Trigonometric Identities and Equations | |
Verification of Trigonometric Identities | |
Sum, Difference, and Cofunction Identities | |
Double- and Half-Angle Identities | |
Identities Involving the Sum of Trigonometric Functions | |
Inverse Trigonometric Functions | |
Trigonometric Equations | |
Exploring Concepts with Technology: Approximate an Inverse Trigonometric Function with Polynomials | |
Applications of Trigonometry | |
The Law of Sines | |
The Law of Cosines and Area | |
Vectors | |
Exploring Concepts with Technology: Optimal Branching of Arteries | |
Complex Numbers | |
Complex Numbers | |
Trigonometric Form of Complex Numbers | |
De Moivre's Theorem | |
Exploring Concepts with Technology: The Mandelbrot Replacement Procedure | |
Topics in Analytic Geometry | |
Parabolas | |
Ellipses | |
Hyperbolas | |
Rotation of Axes | |
Introduction to Polar Coordinates | |
Polar Equations of the Conics | |
Parametric Equations | |
Exploring Concepts with Technology: Using a Graphing Calculator to Find the nth Roots of z | |
Exponential and Logarithmic Functions | |
Exponential Functions and Their Applications | |
Logarithmic Functions and Their Applications | |
Logarithms and Logarithmic Scales | |
Exponential and Logarithmic Equations | |
Exponential Growth and Decay | |
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 | |
Table of Contents provided by Publisher. All Rights Reserved. |
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