Trigonometry – Cynthia Y. Young – 3rd Edition

1 Right Triangle Trigonometry
1.1 Angles, Degrees, and Triangles
1.2 Similar Triangles
1.3 Definition 1 of Trigonometric Functions: Right Triangle Ratios
1.4 Evaluating Trigonometric Functions: Exactly and with Calculators
1.5 Solving Right Triangles

2 Trigonometric Functions
2.1 Angles in the Cartesian Plane
2.2 Definition 2 of Trigonometric Functions: The Cartesian Plane
2.3 Evaluating Trigonometric Functions for Nonacute Angles
2.4 Basic Trigonometric Identities

3 Radian Measure and the Unit Circle Approach
3.1 Radian Measure
3.2 Arc Length and Area of a Circular Sector
3.3 Linear and Angular Speeds
3.4 Definition 3 of Trigonometric Functions: Unit Circle Approach

4 Graphing Trigonometric Functions
4.1 Basic Graphs of Sine and Cosine Functions: Amplitude and Period
4.2 Translations of the Sine and Cosine Functions: Addition of Ordinates
4.3 Graphs of Tangent, Cotangent, Secant, and Cosecant Functions

5 Trigonometric Identities
5.1 Trigonometric Identities
5.2 Sum and Difference Identities
5.3 Double-Angle Identities
5.4 Half-Angle Identities
5.5 Product-to-Sum and Sum-to-Product Identities

6 Solving Trigonometric Equations
6.1 Inverse Trigonometric Functions
6.2 Solving Trigonometric Equations That Involve Only One Trigonometric Function
6.3 Solving Trigonometric Equations That Involve Multiple Trigonometric Functions

7 Applications of Trigonometry: Triangles and Vectors
7.1 Oblique Triangles and the Law of Sines
7.2 The Law of Cosines
7.3 The Area of a Triangle
7.4 Vectors
7.5 The Dot Product

8 Complex Numbers, Polar Coordinates, and Parametric Equations
8.1 Complex Numbers
8.2 Polar (Trigonometric) Form of Complex Numbers
8.3 Products, Quotients, Powers, and Roots of Complex Numbers: De Moivre’s Theorem
8.4 Polar Equations and Graphs
8.5 Parametric Equations and Graphs