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 

DoubleAngle Formulas 

HalfAngle 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 
