Trigonometry, Fifth Edition 2004 Charles P. McKeague / Mark D. Turner
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Contents

1. THE SIX TRIGONOMETRIC FUNCTIONS
1.1 Angles, Degrees, and Special Triangles
1.2 The Rectangular Coordinate System
1.3 Definition I: Trigonometric Functions
1.4 Introduction to Identities
1.5 More on Identities
Summary
Test
Group Project
Research Project

2. RIGHT TRIANGLE TRIGONOMETRY
2.1 Definition II: Right Triangle Trigonometry
2.2 Calculators and Trigonometric Functions of an Acute Angle
2.3 Solving Right Triangles
2.4 Applications
2.5 Vectors: A Geometric Approach
Summary
Test
Group Project
Research Project

3. RADIAN MEASURE
3.1 Reference Angle
3.2 Radians and Degrees
3.3 Definition III: Circular Functions
3.4 Arc Length and Area of a Sector
3.5 Velocities
Summary
Test
Group Project
Research Project

4. GRAPHING AND INVERSE FUNCTIONS
4.1 Basic Graphs and Amplitude
4.2 Period, Reflection, and Vertical Translation
4.3 Phase Shift
4.4 Finding an Equation from Its Graph
4.5 Graphing Combinations of Functions
4.6 Inverse Trigonometric Functions
Summary
Test
Group Project
Research Project

5.IDENTITIES AND FORMULAS
5.1 Proving Identities
5.2 Sum and Difference Formulas
5.3 Double-Angle Formulas
5.4 Half-Angle Formulas
5.5 Additional Identities
Summary
Test
Group Project
Research Project

6. EQUATIONS
6.1 Solving Trigonometric Equations
6.2 More on Trigonometric Equations
6.3 Trigonometric Equations Involving Multiple Angles
6.4 Parametric Equations and Further Graphing
Summary
Test
Group Project
Research Project

7. TRIANGLES
7.1 The Law of Sines
7.2 The Ambiguous Case
7.3 The Law of Cosines
7.4 The Area of a Triangle
7.5 Vectors: An Algebraic Approach
7.6 Vectors: The Dot Product
Summary
Test
Group Project
Research Project

8. COMPLEX NUMBERS AND POLAR COORDINATES
8.1 Complex Numbers
8.2 Trigonometric Form for Complex Numbers
8.3 Products and Quotients in Trigonometric Form
8.4 Roots of a Complex Number
8.5 Polar Coordinates
8.6 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