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Table of Contents
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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
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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
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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