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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 |