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 |