# Precalculus and Trigonometry

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- Book: Precalculus (OpenStax)
- 1: Functions
- 2: Linear Functions
- 3: Polynomial and Rational Functions
- 3.0: Prelude to Polynomial and Rational Functions
- 3.1: Complex Numbers
- 3.2: Quadratic Functions
- 3.3: Power Functions and Polynomial Functions
- 3.4: Graphs of Polynomial Functions
- 3.5: Dividing Polynomials
- 3.6: Zeros of Polynomial Functions
- 3.7: Rational Functions
- 3.8: Inverses and Radical Functions
- 3.9: Modeling Using Variation
- 3.E: Polynomial and Rational Functions(Exercises)
- 3.R: Polynomial and Rational Functions(Review)

- 4: Exponential and Logarithmic Functions
- 4.0: Prelude to Exponential and Logarithmic Functions
- 4.1: Exponential Functions
- 4.2: Graphs of Exponential Functions
- 4.3: Logarithmic Functions
- 4.4: Graphs of Logarithmic Functions
- 4.5: Logarithmic Properties
- 4.6: Exponential and Logarithmic Equations
- 4.7: Exponential and Logarithmic Models
- 4.8: Fitting Exponential Models to Data
- 4.E: Exponential and Logarithmic Functions (Exercises)
- 4.R: Exponential and Logarithmic Functions (Review)

- 5: Trigonometric Functions
- 6: Periodic Functions
- 7: Trigonometric Identities and Equations
- 7.0: Prelude to Trigonometric Identities and Equations
- 7.1: Solving Trigonometric Equations with Identities
- 7.2: Sum and Difference Identities
- 7.3: Double-Angle, Half-Angle, and Reduction Formulas
- 7.4: Sum-to-Product and Product-to-Sum Formulas
- 7.5: Solving Trigonometric Equations
- 7.6: Modeling with Trigonometric Equations
- 7.E: Trigonometric Identities and Equations (Exercises)
- 7.R: Trigonometric Identities and Equations (Review)

- 8: Further Applications of Trigonometry
- 8.0: Prelude to Further Applications of Trigonometry
- 8.1: Non-right Triangles - Law of Sines
- 8.2: Non-right Triangles - Law of Cosines
- 8.3: Polar Coordinates
- 8.4: Polar Coordinates - Graphs
- 8.5: Polar Form of Complex Numbers
- 8.6: Parametric Equations
- 8.7: Parametric Equations - Graphs
- 8.8: Vectors
- 8.E: Further Applications of Trigonometry (Exercises)
- 8.R: Further Applications of Trigonometry (Review)

- 9: Systems of Equations and Inequalities
- 9.0: Prelude to Systems of Equations and Inequalities
- 9.1: Systems of Linear Equations - Two Variables
- 9.2: Systems of Linear Equations - Three Variables
- 9.3: Systems of Nonlinear Equations and Inequalities - Two Variables
- 9.4: Partial Fractions
- 9.5: Matrices and Matrix Operations
- 9.6: Solving Systems with Gaussian Elimination
- 9.7: Solving Systems with Inverses
- 9.8: Solving Systems with Cramer's Rule
- 9.E: Systems of Equations and Inequalities (Exercises)
- 9.R: Systems of Equations and Inequalities (Review)

- 10: Analytic Geometry
- 11: Sequences, Probability and Counting Theory
- 11.0: Prelude to Sequences, Probability and Counting Theory
- 11.1: Sequences and Their Notations
- 11.2: Arithmetic Sequences
- 11.3: Geometric Sequences
- 11.4: Series and Their Notations
- 11.5: Counting Principles
- 11.6: Binomial Theorem
- 11.7: Probability
- 11.E: Sequences, Probability and Counting Theory (Exercises)
- 11.R: Sequences, Probability and Counting Theory (Review)

- 12: Introduction to Calculus
- A: Appendix

- Map: Precalculus (Stitz-Zeager)
- 1: Relations and Functions
- 2: Linear and Quadratic Functions
- 3: Polynomial Functions
- 4: Rational Functions
- 5: Further Topics in Functions
- 6: Exponential and Logarithmic Functions
- 7: Hooked on Conics
- 8: Systems of Equations and Matrices
- 8.1: Systems of Linear Equations: Gaussian Elimination
- 8.2: Systems of Linear Equations: Augmented Matrices
- 8.3: Matrix Arithmetic
- 8.4: Systems of Linear Equations: Matrix Inverses
- 8.5: Determinants and Cramer’s Rule
- 8.6: Partial Fraction Decomposition
- 8.7: Systems of Non-Linear Equations and Inequalities
- 8.E: Systems of Equations and Matrices (Exercises)

- 9: Sequences and the Binomial Theorem
- 10: Foundations of Trigonometry
- 10.1: Angles and their Measure
- 10.2: The Unit Circle: Cosine and Sine
- 10.3: The Six Circular Functions and Fundamental Identities
- 10.4: Trigonometric Identities
- 10.5: Graphs of the Trigonometric Functions
- 10.6: The Inverse Trigonometric Functions
- 10.7: Trigonometric Equations and Inequalities
- 10.E: Foundations of Trigonometry (Exercises)

- 11: Applications of Trigonometry
- 11.1: Applications of Sinusoids
- 11.2: The Law of Sines
- 11.3: The Law of Cosines
- 11.4: Polar Coordinates
- 11.5: Graphs of Polar Equations
- 11.6: Hooked on Conics Again
- 11.7: Polar Form of Complex Numbers
- 11.8: Vectors
- 11.9: The Dot Product and Projection
- 11.10: Parametric Equations
- 11.E: Applications of Trigonometry (Exercises)

- Map: Elementary Trigonometry (Corral)
- Book: Precalculus - An Investigation of Functions (Lippman & Rasmussen)
- 1: Functions
- 2: Linear Functions
- 3: Polynomial and Rational Functions.
- 4: Exponential and Logarithmic Functions
- 5: Trigonometric Functions of Angles
- 6: Periodic Functions
- 7: Trigonometric Equations and Identities
- 8: Further Applications of Trigonometry
- 9: Conics

- Book: Trigonometry (Sundstrom & Schlicker)
- 1: The Trigonometric Functions
- 2: Graphs of the Trigonometric Functions
- 2.1: Graphs of the Cosine and Sine Functions
- 2.2: Graphs of Sinusoidal Functions
- 2.3: Applications and Modeling with Sinusoidal Functions
- 2.4: Graphs of the Other Trigonometric Functions
- 2.5: Inverse Trignometric Functions
- 2.6: Solving Trigonmetric Equations
- 2.E: Graphs of the Trigonometric Functions (Exercises)

- 3: Triangles and Vectors
- 4: Trigonometric Identities and Equations
- 5: Complex Numbers and Polar Coordinates
- Appendix: Some Geometric Facts about Triangles and Parallelograms
- Appendix A: Answers for the Progress Checks

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Precalculus courses mix together algebra and trigonometry that is designed to prepare students for the study of calculus.