Algebra and Trigonometry – Ron Larson – 8th Edition

Chapter 0: Prerequisites

0.1: Review of Real Numbers and Their Properties (99)

0.2: Exponents and Radicals (97)

0.3: Polynomials and Special Products (89)

0.4: Factoring Polynomials (111)

0.5: Rational Expressions (91)

0.6: The Rectangular Coordinate System and Graphs (57)

Chapter 1: Equations, Inequalities, and Mathematical Modeling

1.1: Graphs of Equations (52)

1.2: Linear Equations in One Variable (77)

1.3: Modeling with Linear Equations (83)

1.4: Quadratic Equations and Applications (103)

1.5: Complex Numbers (63)

1.6: Other Types of Equations (91)

1.7: Linear Inequalities in One Variable (103)

1.8: Other Types of Inequalities (56)

Chapter 2: Functions and Their Graphs

2.1: Linear Equations in Two Variables (106)

2.2: Functions (79)

2.3: Analyzing Graphs of Functions (86)

2.4: A Library of Functions (41)

2.5: Shifting, Reflecting, and Stretching Graphs (51)

2.6: Combinations of Functions (56)

2.7: Inverse Functions (69)

Chapter 3: Polynomial Functions

3.1: Quadratic Functions and Models (62)

3.2: Polynomial Functions of Higher Degree (66)

3.3: Polynomial and Synthetic Division (56)

3.4: Zeros of Polynomial Functions (87)

3.5: Mathematical Modeling (72)

Chapter 4: Rational Functions and Conics

4.1: Rational Functions and Asymptotes (33)

4.2: Graphs of Rational Functions (57)

4.3: Conics (65)

4.4: Translations of Conics (57)

Chapter 5: Exponential and Logarithmic Functions

5.1: Exponential Functions and Their Graphs (57)

5.2: Logarithmic Functions and Their Graphs (62)

5.3: Properties of Logarithms (65)

5.4: Exponential and Logarithmic Equations (87)

5.5: Exponential and Logarithmic Models (65)

Chapter 6: Trigonometry

6.1: Angles and Their Measure (83)

6.2: Right Triangle Trigonometry (52)

6.3: Trigonometric Functions of Any Angle (68)

6.4: Graphs of Sine and Cosine Functions (60)

6.5: Graphs of Other Trigonometric Functions (59)

6.6: Inverse Trigonometric Functions (77)

6.7: Applications and Models (60)

Chapter 7: Analytic Trigonometry

7.1: Using Fundamental Identities (79)

7.2: Verifying Trigonometric Identities (46)

7.3: Solving Trigonometric Equations (65)

7.4: Sum and Difference Formulas (63)

7.5: Multiple-Angle and Product-to-Sum Formulas (89)

Chapter 8: Additional Topics in Trigonometry

8.1: Law of Sines (43)

8.2: Law of Cosines (53)

8.3: Vectors in the Plane (78)

8.4: Vectors and Dot Products (59)

8.5: Trigonometric Form of a Complex Number (64)

Chapter 9: Systems of Equations and Inequalities

9.1: Linear and Nonlinear Systems of Equations (64)

9.2: Two-Variable Linear Systems (50)

9.3: Multivariable Linear Systems (71)

9.4: Partial Fractions (44)

9.5: Systems of Inequalities (59)

9.6: Linear Programming (36)

Chapter 10: Matrices and Determinants

10.1: Matrices and Systems of Equations (81)

10.2: Operations with Matrices (62)

10.3: The Inverse of a Square Matrix (56)

10.4: The Determinant of a Square Matrix (61)

10.5: Applications of Matrices and Determinants (48)

Chapter 11: Sequences, Series, and Probability

11.1: Sequences and Series (87)

11.2: Arithmetic Sequences and Partial Sums (72)

11.3: Geometric Sequences and Series (91)

11.4: Mathematical Induction (52)

11.5: The Binomial Theorem (63)

11.6: Counting Principles (72)

11.7: Probability (70)