Trigonometry – Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels – 11th Edition

Preface
Resources for Success
1. Trigonometric Functions
1-1 Angles
1-2 Angle Relationships and Similar Triangles
1-3 Trigonometric Functions
1-4 Using the Definitions of the Trigonometric Functions

2. Acute Angles and Right Triangles
2-1 Trigonometric Functions of Acute Angles
2-2 Trigonometric Functions of Non-Acute Angles
2-3 Approximations of Trigonometric Function Values
2-4 Solutions and Applications of Right Triangles
2-5 Further Applications of Right Triangles

3. Radian Measure and the Unit Circle
3-1 Radian Measure
3-2 Applications of Radian Measure
3-3 The Unit Circle and Circular Functions
3-4 Linear and Angular Speed

4. Graphs of the Circular Functions
4-1 Graphs of the Sine and Cosine Functions
4-2 Translations of the Graphs of Sine and Cosine Functions
4-3 Graphs of the Tangent and Cotangent Functions
4-4 Graphs of the Secant and Cosecant Functions
4-5 Harmonic Motion

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

6. Inverse Circular Functions and Trigonometric Equations
6-1 Inverse Circular Functions
6-2 Trigonometric Equations I
6-3 Trigonometric Equations II
6-4 Equations Involving Inverse Trigonometric Functions

7. Applications of Trigonometry and Vectors
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 Geometrically Defined Vectors and Applications
7-5 Algebraically Defined Vectors and the Dot Product

8. Complex Numbers, Polar Equations, and Parametric Equations
8-1 Complex Numbers