Algebra and Trigonometry

Preface
	1. About OpenStax
	2. About OpenStax's Resources
	3. About Algebra and Trigonometry
	4. Pedagogical Foundations and Features
	5. Additional Resources
Chapter 1. Prerequisites
	1.1. Real Numbers: Algebra Essentials
	1.2. Exponents and Scientific Notation
	1.3. Radicals and Rational Expressions
	1.4. Polynomials
	1.5. Factoring Polynomials
	1.6. Rational Expressions
	Glossary
Chapter 2. Equations and Inequalities
	2.1. The Rectangular Coordinate Systems and Graphs
	2.2. Linear Equations in One Variable
	2.3. Models and Applications
	2.4. Complex Numbers
	2.5. Quadratic Equations
	2.6. Other Types of Equations
	2.7. Linear Equations and Absolute Value Inequalities
	Glossary
Chapter 3. Functions
	3.1. Functions and Function Notation
	3.2. Domain and Range
	3.3. Rates of Change and Behavior of Graphs
	3.4. Composition of Functions
	3.5. Transformation of Functions
	3.6. Absolute Value Functions
	3.7. Inverse Functions
	Glossary
Chapter 4. Linear Functions
	4.1. Linear Functions
	4.2. Modeling with Linear Functions
	4.3. Fitting Linear Models to Data
	Glossary
Chapter 5. Polynomial and Rational Functions
	5.1. Quadratic Functions
	5.2. Power Functions and Polynomial Functions
	5.3. Graphs of Polynomial Functions
	5.4. Dividing Polynomials
	5.5. Zeros of Polynomial Functions
	5.6. Rational Functions
	5.7. Inverses and Radical Functions
	5.8. Modeling Using Variation
	Glossary
Chapter 6. Exponential and Logarithmic Functions
	6.1. Exponential Functions
	6.2. Graphs of Exponential Functions
	6.3. Logarithmic Functions
	6.4. Graphs of Logarithmic Functions
	6.5. Logarithmic Properties
	6.6. Exponential and Logarithmic Equations
	6.7. Exponential and Logarithmic Models
	6.8. Fitting Exponential Models to Data
	Glossary
Chapter 7. The Unit Circle: Sine and Cosine Functions
	7.1. Angles
	7.2. Right Triangle Trigonometry
	7.3. Unit Circle
	7.4. The Other Trigonometric Functions
	Glossary
Chapter 8. Periodic Functions
	8.1. Graphs of the Sine and Cosine Functions
	8.2. Graphs of the Other Trigonometric Functions
	8.3. Inverse Trigonometric Functions
	Glossary
Chapter 9. Trigonometric Identities and Equations
	9.1. Solving Trigonometric Equations with Identities
	9.2. Sum and Difference Identities
	9.3. Double-Angle, Half-Angle, and Reduction Formulas
	9.4. Sum-to-Product and Product-to-Sum Formulas
	9.5. Solviong Trigonometric Equations
	Glossary
Chapter 10. Further Applications of Trigonometry
	10.1. Non-Right Triangles: Law of Sines
	10.2. Non-Right Triangles: Law of Cosines
	10.3. Polar Coordinates
	10.4. Polar Coordinates: Graphs
	10.5. Polar Form of Complex Numbers
	10.6. Parametric Equations
	10.7. Parametric Equations: Graphs
	10.8. Vectors
	Glossary
Chapter 11. Systems of Equations and Inequalities
	11.1. Systems of Linear Equations: Two Variables
	11.2. Systems of Linear Equations: Three Variables
	11.3. Systems of Nonlinear Equations and Inequalities: Two Variables
	11.4. Partial Fractions
	11.5. Matrices and Matrix Operations
	11.6. Solving Systems with Gaussian Elimination
	11.7. Solving Systems with Inverses
	11.8. Solving Systems with Cramer's Rule
	Glossary
Chapter 12. Analytic Geometry
	12.1. The Ellipse
	12.2. The Hyperbola
	12.3. The Parabola
	12.4. Rotation of Axis
	Glossary
Chapter 13. Sequences, Probability and Counting Theory
	13.1. Sequences and their Notations
	13.2. Arithmetic Sequences
	13.3. Geometric Sequences
	13.4. Series and their Notations
	13.5. Counting Principles
	13.6. Binomial Theorem
	13.7. Probability
	Glossary
Appendix A. Proofs, Identities, and Toolkit Functions
Try It Answers
	Chapter 1
	Chapter 2
	Chapter 3
	Chapter 4
	Chapter 5
	Chapter 6
	Chapter 7
	Chapter 8
	Chapter 9
	Chapter 10
	Chapter 11
	Chapter 12
	Chapter 13
Odd Answers
	Chapter 1
	Chapter 2
	Chapter 3
	Chapter 4
	Chapter 5
	Chapter 6
	Chapter 7
	Chapter 8
	Chapter 9
	Chapter 10
	Chapter 11
	Chapter 12
	Chapter 13
Index