# Alignment: OpenStax • Algebra and Trigonometry • 2015

Use Nagwa in conjunction with your preferred textbook. The recommended lessons from Nagwa for each section of this textbook are provided below. This alignment is not affiliated with, sponsored by, or endorsed by the publisher of the referenced textbook. Nagwa is a registered trademark of Nagwa Limited. All other trademarks and registered trademarks are the property of their respective owners.

• 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
• Chapter 1 Review
• Chapter 1 Review Exercises
• Chapter 1 Practice Test
• 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
• 2.6 Other Types of Equations
• 2.7 Linear Inequalities and Absolute Value Inequalities
• Chapter 2 Review
• Chapter 2 Review Exercises
• Chapter 2 Practice Test
• 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
• Chapter 3 Review
• Chapter 3 Review Exercises
• Chapter 3 Practice Test
• 4 Linear Functions
• 4.1 Linear Functions
• 4.2 Modeling with Linear Functions
• 4.3 Fitting Linear Models to Data
• Chapter 4 Review
• Chapter 4 Review Exercises
• Chapter 4 Practice Test
• 5 Polynomial and Rational 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
• Chapter 5 Review
• Chapter 5 Review Exercises
• Chapter 5 Practice Test
• 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
• Chapter 6 Review
• Chapter 6 Review Exercises
• Chapter 6 Practice Test
• 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
• Chapter 7 Review
• Chapter 7 Review Exercises
• Chapter 7 Practice Test
• 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
• Chapter 8 Review
• Chapter 8 Review Exercises
• Chapter 8 Practice Test
• 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 Solving Trigonometric Equations
• Chapter 9 Review
• Chapter 9 Review Exercises
• Chapter 9 Practice Test
• 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
• Chapter 10 Review
• Chapter 10 Review Exercises
• Chapter 10 Practice Test
• 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
• Chapter 11 Review
• Chapter 11 Review Exercises
• Chapter 11 Practice Test
• 12 Analytic Geometry
• 12.1 The Ellipse
• 12.2 The Hyperbola
• 12.3 The Parabola
• 12.4 Rotation of Axis
• 12.5 Conic Sections in Polar Coordinates
• Chapter 12 Review
• Chapter 12 Review Exercises
• Chapter 12 Practice Test
• 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
• Chapter 13 Review
• Chapter 13 Review Exercises
• Chapter 13 Practice Test
• Appendix