Definition 1 of Trigonometric Functions: Right Triangle Ratios.
Evaluating Trigonometric Functions: Exactly and with Calculators.
Solving Right Triangles.
Definition 2 of Trigonometric Functions: Cartesian Plane.
Trigonometric Functions of Non-Acute Angles.
Basic Trigonometric Identities.
Arc Length and Area of a Circular Sector.
Linear and Angular Velocities.
Definition 3 of Trigonometric Functions: Circular Functions.
Translations of the Sine and Cosine functions: Phase shift.
Graphs of Tangent, Cotangent, Cosecant, and Secant Functions.
Verifying Trigonometric Identities.
Sum and Difference Identities.
Double and Half Angle Identities.
Product and Sum Identities.
Solving Basic Trigonometric Equations.
Solving More Complicated Trigonometric Equations.
The Law of Cosines.
Area of a Triangle.
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.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.