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P. Algebraic Prerequisites.
The Cartesian Coordinate System.
Families of Functions, Transformations, and Symmetry.
Compositions and Inverses.
1. Angles and the Trigonometric Functions.
Angles and Degree Measure.
Radian Measure, Arc Length, and Area.
Angular and Linear Velocity.
The Trigonometric Functions.
The Fundamental Identity and Reference Angles.
Right Triangle Trigonometry.
2. Graphs of the Trigonometric Functions.
Graphs of the Sine and Cosine Functions.
The General Sine Wave.
Graphs of the Tangent and Cotangent Functions.
Graphs of the Secant and Cosecant Functions.
3. Trigonometric Identities.
Sum and Difference Identities for Cosine.
Sum and Difference Identities for Sine and Tangent.
Double-Angle and Half-Angle Identities.
Product and Sum Identities.
4. Solving Conditional Trigonometric Equations.
The Inverse Trigonometric Functions.
Basic Sine, Cosine, and Tangent Equations.
Multiple Angle Equations.
Trigonometric Equations of the Quadratic Type.
5. Applications of Trigonometry.
The Law of Sines.
The Law of Cosines.
Area of a Triangle.
6. Complex Numbers, Polar Coordinates, and Parametric Equations.
Trigonometric Form of Complex Numbers.
Powers and Roots of Complex Numbers.
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