Chapter 0 |
Overview of Trigonometry |

0.1 |
Trigonometry is Just Ratios |

0.2 |
Unit Circle Trigonometry |

0.3 |
Graphing of Trig. Functions |

0.4 |
Using These Tools |

Chapter 1 |
The Trigonometric Functions |

1.1 |
Angles |

1.2 |
Angle Relationships |

1.3 |
Definitions of the Trigonometric Functions |

1.4 |
Using the Def. of the Trig. Functions |

Chapter 2 |
Acute Angles and Right Triangles |

2.1 |
Trigonometric Functions of Acute Angles |

2.2 |
Trigonometric Functions of Non-Acute Angles |

2.3 |
Finding Trig. Function Values Using a Calculator |

2.4 |
Solving Right Triangles |

2.5 |
Further Applications of Right Triangles |

Chapter 3 |
Radian and the Circular Functions |

3.1 |
Radian Measure |

3.2 |
Applications of Radian Measure |

3.3 |
Circular Functions of Real Numbers |

3.4 |
Linear and Angular Velocity |

Chapter 4 |
Graphs of the Circular Functions |

4.1 |
Graphs of the Sine and Cosine Functions |

4.2 |
Translation of Sine and Cosine Function Graphs |

4.3 |
Graphs of the Other Circular Functions |

Chapter 5 |
Trigonometric Identities |

5.1 |
Fundamental Identities |

5.2 |
Verifying Trigonometric Identities |

5.3 |
Sum and Difference Identities for Cosine |

5.4 |
Sum and Difference Identities for Sine and Tangent |

5.5 |
Double-Angle Identities |

5.6 |
Half-Angle Identities |

Chapter 6 |
Inverse Trig. Functions and Trig. Eq. |

6.1 |
Inverse Trigonometric Functions |

6.2 |
Trigonometric Equations I |

6.3 |
Trigonometric Equations II |

6.4 |
Equations Involving Inverse Trigonometric Functions |

Chapter 7 |
Trig. and Vectors Applications |

7.1 |
Oblique Triangles and the Law of Sines |

7.2 |
The Ambiguous Case of the Law of Sines |

7.3 |
The Law of Cosines |

7.4 |
Vectors and the Dot Product |

7.5 |
Applications of Vectors |

Chapter 8 |
Precalculus (Complex Numbers, Polar Equations, Parametric Equations) |

8.1 |
Complex Numbers |

8.2 |
Trig (Polar) Form of Complex Numbers |

8.3 |
The Product and Quotient Theorems |

8.4 |
Powers and Roots of Complex Numbers |

8.5 |
Polar Equations and Graphs |

8.6 |
Parametric Equations, Graphs and Applications |

8.7 |
Trigonometric Parametric Equations |