VII. SETS 

A . Meaning and symbols
1. Set notation
2. Set membership
3. Ordered pairs
4. Cardinality of a set
B . Types of sets
1. Finite
2. Infinite
3. Empty
C. Relationships between sets
1. Equal sets
2. Equivalent sets
3. Subsets
4. Complements
D. Set Operations
1. Union
2. Intersection
3. Cartesian products
4. Laws of set operations
5. Closure
E . Venn diagrams

VIII. TRIGONOMETRY
A. Trigonometry of the right triangle
1. Definitions of the six functions
2. Relations of the functions of the complementary angles
3. Reciprocal relations among the functions
4. Variations in the functions of acute angles
5. Pythagorean and quotient relations
6. Functions of 30°, 45°, and 60°
7. Applications of the functions to right triangle problems
B. Trigonometric functions of the general angle
1. Generating an angle of any size
2. Radians and degrees
3. Using radians to determine arc length
4. Definitions of the functions of an angle
5. Signs of the functions in the four quadrants
6. Functions of the quadrantal angle
7. Finding the value of functions of any angle
C . Identities and equations
1. Difference between identities in equations
2. Proving identities
3. Solving linear trigonometric functions
4. Solving trigonometric quadratic equations
D . Generalized trigonometric relationships
1. Functions of the sum of two angles
2. Functions of the difference of two angles
3. Functions of the double angle
4. Functions of the half angle
E . Graphs of trigonometric functions
1. Graphs of the sine, cosine, and tangent curves
2. Properties of the sine, cosine, and tangent curves
3. Definitions of amplitude, period, and frequency
4. Solving trigonometric equations graphically
F . Solutions of oblique triangles
1. Law of sines
2. Law of cosines
3. Using logarithms to solve oblique triangle problems
4. Vector problems—parallelogram of forces
5. Navigation problems