MyLab Math with Pearson eText (up to 18-weeks) Access Code for Algebra & Trigonometry with Interactive Assignments

About our author Kirk Trigsted taught mathematics at the University of Idaho from 1996 to 2020 and is now emeritus faculty. Kirk was the director of one the first Emporium model math labs in the United States for 20 years. He was inspired by his students to develop the first digital-first Algebra & Trigonometry product ever developed in MyLab Math; the first edition was launched in 2008. Now, 16 years later, there are Trigsted titles ranging from Pre-Algebra to Precalculus. Kirk has been married for 27 years and has 4 children.

R. Review Chapter

R.1 Real Numbers
R.2 A Review of Fractions and the Order of Operations
R.3 The Properties of Integer Exponents
R.4 Radicals and Rational Exponents
R.5 Polynomials
R.6 Operations with Radicals
R.7 Factoring Polynomials
R.8 Rational Expressions
R.9 The Addition and Multiplication Properties of Equality
Chapter Summary

1. Equations, Inequalities, and Applications

1.1 Linear and Rational Equations
1.2 Applications of Linear Equations and Rational Equations
1.3 Complex Numbers
1.4 Quadratic Equations
1.5 Applications of Quadratic Equations
1.6 Other Types of Equations
1.7 Linear Inequalities in One Variable
1.8 Absolute Value Equations and Inequalities
1.9 Polynomial and Rational Inequalities
Chapter Summary

2. The Rectangular Coordinate System, Lines, and Circles

2.1 The Rectangular Coordinate System
2.2 Circles
2.3 Lines
2.4 Parallel and Perpendicular Lines
Chapter Summary

3. Functions

3.1 Relations and Functions
3.2 Properties of a Function's Graph
3.3 Graphs of Basic Functions; Piecewise Functions
3.4 Transformations of Functions
3.5 The Algebra of Functions; Composite Functions
3.6 One-to-One Functions; Inverse Functions
Chapter Summary

4. Polynomial and Rational Functions

4.1 Quadratic Functions
4.2 Applications and Modeling of Quadratic Functions
4.3 The Graphs of Polynomial Functions
4.4 Synthetic Division; The Remainder and Factor Theorems
4.5 The Zeros of Polynomial Functions; The Fundamental Theorem of Algebra
4.6 Rational Functions and Their Graphs
4.7 Variation
Chapter Summary

5. Exponential and Logarithmic Functions and Equations

5.1 Exponential Functions
5.2 Logarithmic Functions
5.3 Properties of Logarithms
5.4 Exponential and Logarithmic Equations
5.5 Applications of Exponential and Logarithmic Functions
Chapter Summary

6. An Introduction to Trigonometric Functions

6.1 An Introduction to Angles: Degree and Radian Measure
6.2 Applications of Radian Measure
6.3 Triangles
6.4 Right Triangle Trigonometry
6.5 Trigonometric Functions of General Angles
6.6 The Unit Circle
Chapter Summary

7. The Graphs of Trigonometric Functions

7.1 The Graphs of Sine and Cosine
7.2 More on Graphs of Sine and Cosine; Phase Shift
7.3 The Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions
7.4 Inverse Trigonometric Functions I
7.5 Inverse Trigonometric Functions II
Chapter Summary

8. Trigonometric Identities, Formulas, and Equations

8.1 Trigonometric Identities
8.2 The Sum and Difference Formulas
8.3 The Double-Angle and Half-Angle Formulas
8.4 The Product-to-Sum and Sum-to-Product Formulas
8.5 Trigonometric Equations
Chapter Summary

9. Applications of Trigonometry

9.1 Right Triangle Applications
9.2 The Law of Sines
9.3 The Law of Cosines
9.4 Area of Triangles
Chapter Summary

10. Polar Equations, Complex Numbers, and Vectors

10.1 Polar Coordinates and Polar Equations
10.2 Graphing Polar Equations
10.3 Complex Numbers in Polar Form; DeMoivre's Theorem
10.4 Vectors
10.5 The Dot Product
Chapter Summary

11. Conic Sections and Parametric Equations

Introduction to Conic Sections
11.1 The Parabola
11.2 The Ellipse
11.3 The Hyperbola
11.4 Conic Sections in Polar Form
11.5 Parametric Equations
Chapter Summary

12. Systems of Equations and Inequalities

12.1 Solving Systems of Linear Equations in Two Variables
12.2 Solving Systems of Linear Equations in Three Variables Using the Elimination Method
12.3 Solving Systems of Linear Equations in Three Variables Using Gaussian Elimination and Gauss-Jordan Elimination
12.4 Partial Fraction Decomposition
12.5 Systems of Nonlinear Equations
12.6 Systems of Inequalities
Chapter Summary

13. Matrices

13.1 Matrix Operations
13.2 Inverses of Matrices and Matrix Equations
13.3 Determinants and Cramer's Rule
Chapter Summary

14. Sequences and Series; Counting and Probability

14.1 Introduction to Sequences and Series
14.2 Arithmetic Sequences and Series
14.3 Geometric Sequences and Series
14.4 The Binomial Theorem
14.5 Mathematical Induction
14.6 The Theory of Counting
14.7 An Introduction to Probability
Chapter Summary

Appendices

A: Degree, Minute, A Second Form and Degree Decimal Form
B: Conic Section Proofs
B.1 Parabola Proofs
B.2 Ellipse Proofs
B.3 Hyperbola Proofs