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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 |
The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.
The Used, Rental and eBook copies of this book are not guaranteed to include any supplemental materials. Typically, only the book itself is included. This is true even if the title states it includes any access cards, study guides, lab manuals, CDs, etc.