CHAPTER 1. Right Triangle Trigonometry.
Angles, Degrees and Triangles.
Definition 1 of Trigonometric Functions: Right Triangle Ratios.
Evaluating Trigonometric Functions: Exactly and with Calculators.
Solving Right Triangles.
CHAPTER 2. Trigonometric Functions.
Angles in the Cartesian Plane.
Definition 2 of Trigonometric Functions: Cartesian Plane.
Trigonometric Functions of Non-Acute Angles.
Basic Trigonometric Identities.
CHAPTER 3. Radian Measure and Circular Functions.
Arc Length and Area of a Circular Sector.
Linear and Angular Velocities.
Definition 3 of Trigonometric Functions: Circular Functions.
CHAPTER 4. Graphing Trigonometric Functions.
Basic Graphs of Sine and Cosine Functions: Amplitude and Period.
Translations of the Sine and Cosine functions: Phase shift.
Graphs of Tangent, Cotangent, Cosecant, and Secant Functions.
CHAPTER 5. Trigonometric Identities.
Verifying Trigonometric Identities.
Sum and Difference Identities.
Double and Half Angle Identities.
Product and Sum Identities.
CHAPTER 6. Solving Trigonometric Equations.
Inverse Trigonometric Functions.
Solving Basic Trigonometric Equations.
Solving More Complicated Trigonometric Equations.
CHAPTER 7. Applications of Trigonometric Functions and Vectors.
The Law of Sines.
The Law of Cosines.
Area of a Triangle.
CHAPTER 8. Complex Numbers, Polar Coordinates, and Parametric Equations.
Trigonometric (Polar) Form of Complex Numbers.
Products, Quotients, Powers and Roots of Complex Numbers.
Polar Equations and Graphs.
Parametric Equations and Graphs.
APPENDIX. Algebraic Prerequisites and Review.
A.1 Cartesian Plane.
A.2 Graphing Equations: Point Plotting and Symmetry.
A.4 Graphs of Functions: Common Functions, Transformations, and Symmetry.
A.5 Operation on Functions and Composition of Functions.
A.6 One-to-One Functions and Inverse Functions.