Trigonometric Functions

1. Angle Measurement (degree and radian measure)

2. Angle Relationships and Similar Triangles

3. Definitions of Trigonometric Functions

4. Trigonometric Functions of Acute and Non-Acute Angles

 

Right Triangle Trigonometry

1. Solving Right Triangles

2. Applications

 

Circular Functions

1. Circular Functions of Real Numbers

2. Linear and Angular Velocity

3. Graphs of the Basic Trigonometric Functions

4. Vertical and Horizontal Translations of Basic Graphs

 

Identities

1. Pythagorean and Reciprocal Identities

2. Sum and Difference Identities

3. Half and Double Angle Identities

4. Verifying Identities

 

Inverse Functions

1. Definitions and Graphs of Inverse Functions

2. Solving Equations

 

Solving Oblique Triangles

1. Law of Sines

2. Law of Cosines

3. Area Formulas

4. Applications

 

Vectors

1. Magnitude and Direction Angle

2. Addition, Subtraction, and Scalar Multiplication

3. Dot Product

4. Applications

 

Complex Numbers

1. Trigonometric and Rectangular Form

2. Multiplication and Division

3. Powers and Roots of Complex Numbers

 

Polar Equations and Graphs

 

Parametric Equations and Graphs

 

Analytic Geometry

1. Parabola

2. Ellipse

3. Hyperbola