9780534403928

Trigonometry (with CD-ROM, BCA/iLrn™ Tutorial, Personal Tutor, and InfoTrac)

by ;
  • ISBN13:

    9780534403928

  • ISBN10:

    0534403921

  • Edition: 5th
  • Format: Hardcover
  • Copyright: 12/2/2003
  • Publisher: THOMSON
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Summary

This book provides readers with a solid understanding of the definitions and principles of trigonometry and their application to problem solving. Identities are introduced early in Chapter 1. They are reviewed often and are then covered in more detail in Chapter 5. Also, exact values of the trigonometric functions are emphasized throughout the book. There are numerous calculator notes placed throughout the book.

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
Group Project
Research Project
2. RIGHT TRIANGLE TRIGONOMETRY
Definition II: Right Triangle Trigonometry
Calculators and Trigonometric Functions of an Acute Angle
Solving Right Triangles
Applications
Vectors: A Geometric Approach
Summary
Test
Group Project
Research Project
3. RADIAN MEASURE
Reference Angle
Radians and Degrees
Definition III: Circular Functions
Arc Length and Area of a Sector
Velocities
Summary
Test
Group Project
Research Project
4. GRAPHING AND INVERSE FUNCTIONS
Basic Graphs and Amplitude
Period, Reflection, and Vertical Translation
Phase Shift
Finding an Equation from Its Graph
Graphing Combinations of Functions
Inverse Trigonometric Functions
Summary
Test
Group Project
Research Project
5.IDENTITIES AND FORMULAS
Proving Identities
Sum and Difference Formulas
Double-Angle Formulas
Half-Angle Formulas
Additional Identities
Summary
Test
Group Project
Research Project
6. EQUATIONS
Solving Trigonometric Equations
More on Trigonometric Equations
Trigonometric Equations Involving Multiple Angles
Parametric Equations and Further Graphing
Summary
Test
Group Project
Research Project
7. TRIANGLES
The Law of Sines
The Ambiguous Case
The Law of Cosines
The Area of a Triangle
Vectors: An Algebraic Approach
Vectors: The Dot Product
Summary
Test
Group Project
Research Project
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
Group Project
Research Project
Appendix A: Review of Functions
Introduction to Functions
The Inverse of a Function
Appendix B: Exponential and Logarithmic Functions
Exponential Functions
Logarithms Are Exponents
Properties of Logarithms
Common Logarithms and Natural Logarithms
Exponential Equations and Change of Base
Answers to Odd Numbered Exercises and Chapter Tests
Index

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