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