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What is included with this book?
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 | |
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 | |
3. Radian Measure | |
Reference Angle | |
Radians and Degrees | |
Definition III: Circular Functions | |
Arc Length and Area of a Sector | |
Velocities | |
Summary | |
Test | |
4. Graphing and Inverse Functions | |
Basic Graphs | |
Amplitude and Period | |
Phase Shift | |
Finding an Equation from Its Graph | |
Graphing Combinations of Functions | |
Inverse Trigonometric Functions | |
Summary | |
Test | |
5. Identities and Formulas | |
Proving Identities | |
Sum and Difference Formulas | |
Double-Angle Formulas | |
Half-Angle Formulas | |
Additional Identities | |
Summary | |
Test | |
6. Equations | |
Solving Trigonometric Equations | |
More on Trigonometric Equations | |
Trigonometric Equations Involving Multiple Angles | |
Parametric Equations and Further Graphing | |
Summary | |
Test | |
7. Triangles | |
The Law of Sines | |
The Ambiguous Case | |
The Law of Cosines | |
The Area of a Triangle | |
Vectors: An Algebraic Approach | |
Summary | |
Test | |
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 | |
Appendix A: Exponential and Logarithmic Functions | |
Appendix B: Exponential Functions | |
Appendix C: Logarithms Are Exponents | |
Appendix D: Properties of Logarithms | |
Appendix E: Common Logarithms and Natural Logarithms | |
Appendix F: Exponential Equations and Change of Base | |
Answers to Odd-Numbered Exercises and Chapter Tests | |
Index |