Table of Contents

Chapter 1 • Rational Functions and Relations
 Simplifying Algebraic Fractions
 Multiplying and Dividing Rational Functions
 Simplifying Complex Fractions
 Adding and Subtracting Rational Functions
 Rational Functions
 Graphs of Rational Functions
 Direct Variation
 Joint Variation
 Combined Variation
 Inverse Variation
 Rational Equations
 Rational Inequalities

Chapter 2 • Sequences and Series
 Introduction to Sequences
 Calculations with Arithmetic Sequences
 Geometric Sequences
 Arithmetic Series
 Using Arithmetic Sequence Formulas
 Arithmetic Mean
 Finding the nth Term of a Geometric Sequence
 Sum of a Finite Geometric Sequence
 Geometric Mean
 Infinite Geometric Series
 Sum of an Infinite Geometric Sequence
 Sigma Notation
 The Binomial Theorem
 Pascal’s Triangle and the Binomial Theorem
 General Term in the Binomial Theorem
 Chapter 3 • Probabilities

Chapter 4 • Trigonometry
 Trigonometric Ratios in Right Triangles
 Right Triangle Trigonometry: Solve for a Side
 Right Triangle Trigonometry: Solve for an Angle
 Angles of Elevation and Depression
 Conversion between Radians and Degrees
 Arc Lengths and Sectors
 Angles in Standard Position
 Trigonometric Ratios on the Unit Circle
 Trigonometric Functions Values with Reference Angles
 Finding the Area of a Triangle Using Trigonometry
 Law of Sines
 Law of Cosines
 Applications on Sine and Cosine Laws
 Evaluating Trigonometric Functions Using Periodic Functions
 Amplitude and Period of Trigonometric Functions
 The Graphs of Reciprocal Trigonometric Functions
 Graphs of Trigonometric Functions
 Inverse Trigonometric Functions
 Solving Equations Using Inverse Trigonometric Functions