# Alignment: Precalculus • Ron Larson • Tenth Edition

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 Functions and Their Graphs
• 1.1 Rectangular Coordinates
• 1.2 Graphs of Equations
• 1.3 Linear Equations in Two Variables
• 1.4 Functions
• 1.5 Analyzing Graphs of Functions
• 1.6 A Library of Parent Functions
• 1.7 Transformations of Functions
• 1.8 Combinations of Functions: Composite Functions
• 1.9 Inverse Functions
• 1.10 Mathematical Modeling and Variation
• Chapter Summary
• Review Exercises
• Chapter Test
• Proofs in Mathematics
• P.S. Problem Solving
• 2 Polynomial and Rational Functions
• 2.1 Quadratic Functions and Models
• 2.2 Polynomial Functions of Higher Degree
• 2.3 Polynomial and Synthetic Division
• 2.4 Complex Numbers
• 2.5 Zeros of Polynomial Functions
• 2.6 Rational Functions
• 2.7 Nonlinear Inequalities
• Chapter Summary
• Review Exercises
• Chapter Test
• Proofs in Mathematics
• P.S. Problem Solving
• 3 Exponential and Logarithmic Functions
• 3.1 Exponential Functions and Their Graphs
• 3.2 Logarithmic Functions and Their Graphs
• 3.3 Properties of Logarithms
• 3.4 Exponential and Logarithmic Equations
• 3.5 Exponential and Logarithmic Models
• Chapter Summary
• Review Exercises
• Chapter Test
• Cumulative Test for Chapters 1–3
• Proofs in Mathematics
• P.S. Problem Solving
• 4 Trigonometry
• 4.1 Radian and Degree Measure
• 4.2 Trigonometric Functions: The Unit Circle
• 4.3 Right Triangle Trigonometry
• 4.4 Trigonometric Functions of Any Angle
• 4.5 Graphs of Sine and Cosine Functions
• 4.6 Graphs of Other Trigonometric Functions
• 4.7 Inverse Trigonometric Functions
• 4.8 Applications and Models
• Chapter Summary
• Review Exercises
• Chapter Test
• Proofs in Mathematics
• P.S. Problem Solving
• 5 Analytic Trigonometry
• 5.1 Using Fundamental Identities
• 5.2 Verifying Trigonometric Identities
• 5.3 Solving Trigonometric Equations
• 5.4 Sum and Difference Formulas
• 5.5 Multiple-Angle and Product-to-Sum Formulas
• Chapter Summary
• Review Exercises
• Chapter Test
• Proofs in Mathematics
• P.S. Problem Solving
• 6 Additional Topics in Trigonometry
• 6.1 Law of Sines
• 6.2 Law of Cosines
• 6.3 Vectors in the Plane
• 6.4 Vectors and Dot Products
• 6.5 The Complex Plane
• 6.6 Trigonometric Form of a Complex Number
• Chapter Summary
• Review Exercises
• Chapter Test
• Cumulative Test for Chapters 4–6
• Proofs in Mathematics
• P.S. Problem Solving
• 7 Systems of Equations and Inequalities
• 7.1 Linear and Nonlinear Systems of Equations
• 7.2 Two-Variable Linear Systems
• 7.3 Multivariable Linear Systems
• 7.4 Partial Fractions
• 7.5 Systems of Inequalities
• 7.6 Linear Programming
• Chapter Summary
• Review Exercises
• Chapter Test
• Proofs in Mathematics
• P.S. Problem Solving
• 8 Matrices and Determinants
• 8.1 Matrices and Systems of Equations
• 8.2 Operations with Matrices
• 8.3 The Inverse of a Square Matrix
• 8.4 The Determinant of a Square Matrix
• 8.5 Applications of Matrices and Determinants
• Chapter Summary
• Review Exercises
• Chapter Test
• Proofs in Mathematics
• P.S. Problem Solving
• 9 Sequences, Series, and Probability
• 9.1 Sequences and Series
• 9.2 Arithmetic Sequences and Partial Sums
• 9.3 Geometric Sequences and Series
• 9.4 Mathematical Induction
• 9.5 The Binomial Theorem
• 9.6 Counting Principles
• 9.7 Probability
• Chapter Summary
• Review Exercises
• Chapter Test
• Cumulative Test for Chapters 7–9
• Proofs in Mathematics
• P.S. Problem Solving
• 10 Topics in Analytic Geometry
• 10.1 Lines
• 10.2 Introduction to Conics: Parabolas
• 10.3 Ellipses
• 10.4 Hyperbolas
• 10.5 Rotation of Conics
• 10.6 Parametric Equations
• 10.7 Polar Coordinates
• 10.8 Graphs of Polar Equations
• 10.9 Polar Equations of Conics
• Chapter Summary
• Review Exercises
• Chapter Test
• Proofs in Mathematics
• P.S. Problem Solving
• Appendices
• Appendix A Review of Fundamental Concepts of Algebra
• A.1 Real Numbers and Their Properties