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Trigonometry : With Digital Video Companion

ISBN: 9780030321023 | 0030321026
Edition: 4th
Format: Paperback
Publisher: Brooks Cole
Pub. Date: 8/11/2000

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Table of Contents
1. The Six Trigonometric Functions
Angles, Degrees, and Special Triangles
The Rectangular Coordinate System
Definition I: Trigonometric Functions
Introduction to Identities
More on Identities
Summary
Test
... MORE
Definition II: Right Triangle Trigonometry
Calculators and Trigonometric Functions of an Acute Angle
Solving Right Triangles
Applications
Vectors: A Geometric Approach
Summary
Test
3. Radian Measure
Reference Angle
Radians and Degrees
Definition III: Circular Functions
Arc Length and Area of a Sector
Velocities
Summary
Test
4. Graphing and Inverse Functions
Basic Graphs
Amplitude and Period
Phase Shift
Finding an Equation from Its Graph
Graphing Combinations of Functions
Inverse Trigonometric Functions
Summary
Test
5. Identities and Formulas
Proving Identities
Sum and Difference Formulas
Double-Angle Formulas
Half-Angle Formulas
Additional Identities
Summary
Test
6. Equations
Solving Trigonometric Equations
More on Trigonometric Equations
Trigonometric Equations Involving Multiple Angles
Parametric Equations and Further Graphing
Summary
Test
7. Triangles
The Law of Sines
The Ambiguous Case
The Law of Cosines
The Area of a Triangle
Vectors: An Algebraic Approach
Summary
Test
8. Complex Numbers and Polar Coordinates
Complex Numbers
Trigonometric Form for Complex Numbers
Products and Quotients in Trigonometric Form
Roots of a Complex Number
Polar Coordinates
Equations in Polar Coordinates and Their Graphs
Summary
Test
Appendix A: Exponential and Logarithmic Functions
Appendix B: Exponential Functions
Appendix C: Logarithms Are Exponents
Appendix D: Properties of Logarithms
Appendix E: Common Logarithms and Natural Logarithms
Appendix F: Exponential Equations and Change of Base
Answers to Odd-Numbered Exercises and Chapter Tests
Index

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