About our author Kirk Trigsted teaches Precalculus at the University of Idaho, with 2000 students each year in a combined classroom and laboratory setting. He has been Director of the Polya Mathematics Center at the University of Idaho since its inception in 2001. Kirk has served as a consultant and redesign scholar for various projects through the National Center for Academic Transformation (NCAT). He is the lead author of an interactive, completely clickable series built from the ground up within MyLab Math. The series offers content spanning from Basic Math to Precalculus and Trigonometry.

• BRIEF TABLE OF CONTENTS NOTE: Both brief and comprehensive tables of contents are listed below. Review Chapter Equations, Inequalities, and ApplicationsThe Rectangular Coordinate System, Lines, and CirclesFunctionsPolynomial and Rational FunctionsExponential and Logarithmic Functions and EquationsAn Introduction to Trigonometric FunctionsThe Graphs of Trigonometric FunctionsTrigonometric Identities, Formulas, and EquationsApplications of TrigonometryPolar Equations, Complex Numbers, and VectorsConic Sections and Parametric EquationsSystems of Equations and InequalitiesMatricesSequences and Series; Counting and ProbabilityAppendices A. Degree, Minute, Second Form and Degree Decimal FormB. Conic Section ProofsCOMPREHENSIVE TABLE OF CONTENTS R. Review Chapter R.1 Real NumbersR.2 The Order of Operations and Algebraic ExpressionsR.3 The Laws of Exponents; RadicalsR.4 PolynomialsR.5 Operations with Radicals (New Section)R.6 Factoring PolynomialsR.7 Rational Expressions Equations, Inequalities, and Applications 1.1 Linear and Rational Equations1.2 Applications of Linear Equations and Rational Equation1.3 Complex Numbers1.4 Quadratic Equations1.5 Applications of Quadratic Equations1.6 Other Types of Equations1.7 Linear Inequalities in One Variable1.8 Absolute Value Equations and Inequalities1.9 Polynomial and Rational Inequalities The Rectangular Coordinate System, Lines, and Circles 2.1 The Rectangular Coordinate System2.2 Circles2.3 Lines2.4 Parallel and Perpendicular Lines Functions 3.1 Relations and Functions3.2 Properties of a Function’s Graph3.3 Graphs of Basic Functions; Piecewise Functions3.4 Transformations of Functions3.5 The Algebra of Functions; Composite Functions3.6 One-to-One Functions; Inverse Functions Polynomial and Rational Functions 4.1 Quadratic Functions4.2 Applications and Modeling of Quadratic Functions4.3 The Graphs of Polynomial Functions4.4 Synthetic Division; The Remainder and Factor Theorems4.5 The Zeros of Polynomial Functions; The Fundamental Theorem of Algebra4.6 Rational Functions and Their Graphs4.7 Variation Exponential and Logarithmic Functions and Equations 5.1 Exponential Functions5.2 Logarithmic Functions5.3 Properties of Logarithms5.4 Exponential and Logarithmic Equations5.5 Applications of Exponential and Logarithmic Functions An Introduction to Trigonometric Functions 6.1 An Introduction to Angles: Degree and Radian Measure6.2 Applications of Radian Measure6.3 Triangles6.4 Right Triangle Trigonometry6.5 Trigonometric Functions of General Angles6.6 The Unit Circle The Graphs of Trigonometric Functions 7.1 The Graphs of Sine and Cosine7.2 More on Graphs of Sine and Cosine; Phase Shift7.3 The Graphs of the Tangent, Cotangent , Cosecant, and Secant Functions7.4 Inverse Trigonometric Functions I7.5 Inverse Trigonometric Functions II Trigonometric Identities, Formulas, and Equations 8.1 Trigonometric Identities8.2 The Sum and Difference Formulas8.3 The Double-Angle and Half-Angle Formulas8.4 The Product-to-Sum and Sum-to-Product Formulas8.5 Trigonometric Equations Applications of Trigonometry 9.1 Right Triangle Applications9.2 The Law of Sines9.3 The Law of Cosines9.4 Area of Triangles Polar Equations, Complex Numbers, and Vectors 10.1 Polar Coordinates and Polar Equations10.2 Graphing Polar Equations10.3 Complex Numbers in Polar Form; DeMoivre’s Theorem10.4 Vectors10.5 The Dot Product Conic Sections and Parametric Equations 11.1 Introduction to Conic Sections11.2 The Parabola11.3 The Ellipse11.4 The Hyperbola11.5 Conic Sections in Polar Form11.6 Parametric Equations Systems of Equations and Inequalities 12.1 Solving Systems of Linear Equations in Two Variables12.2 Solving Systems of Linear Equations in Three Variables Using the Elimination Method12.3 Solving Systems of Linear Equations in Three Variables Using Gaussian Elimination and Gauss-Jordan Elimination12.4 Partial Fraction Decomposition12.5 Systems of Nonlinear Equations12.6 Systems of Inequalities Matrices 13.1 Matrix Operations13.2 Inverses of Matrices and Matrix Equations13.3 Determinants and Cramer’s Rule Sequences and Series; Counting and Probability 14.1 Introduction to Sequences and Series14.2 Arithmetic Sequences and Series14.3 Geometric Sequences and Series14.4 The Binomial Theorem14.5 Mathematical Induction14.6 The Theory of Counting14.7 An Introduction to Probability Appendices  A. Degree, Minute, Second Form and Degree Decimal FormB. Conic Section Proofs

About our author Kirk Trigsted teaches Precalculus at the University of Idaho, with 2000 students each year in a combined classroom and laboratory setting. He has been Director of the Polya Mathematics Center at the University of Idaho since its inception in 2001. Kirk has served as a consultant and redesign scholar for various projects through the National Center for Academic Transformation (NCAT). He is the lead author of an interactive, completely clickable series built from the ground up within MyLab Math. The series offers content spanning from Basic Math to Precalculus and Trigonometry.

• BRIEF TABLE OF CONTENTS NOTE: Both brief and comprehensive tables of contents are listed below. Review Chapter Equations, Inequalities, and ApplicationsThe Rectangular Coordinate System, Lines, and CirclesFunctionsPolynomial and Rational FunctionsExponential and Logarithmic Functions and EquationsAn Introduction to Trigonometric FunctionsThe Graphs of Trigonometric FunctionsTrigonometric Identities, Formulas, and EquationsApplications of TrigonometryPolar Equations, Complex Numbers, and VectorsConic Sections and Parametric EquationsSystems of Equations and InequalitiesMatricesSequences and Series; Counting and ProbabilityAppendices A. Degree, Minute, Second Form and Degree Decimal FormB. Conic Section ProofsCOMPREHENSIVE TABLE OF CONTENTS R. Review Chapter R.1 Real NumbersR.2 The Order of Operations and Algebraic ExpressionsR.3 The Laws of Exponents; RadicalsR.4 PolynomialsR.5 Operations with Radicals (New Section)R.6 Factoring PolynomialsR.7 Rational Expressions Equations, Inequalities, and Applications 1.1 Linear and Rational Equations1.2 Applications of Linear Equations and Rational Equation1.3 Complex Numbers1.4 Quadratic Equations1.5 Applications of Quadratic Equations1.6 Other Types of Equations1.7 Linear Inequalities in One Variable1.8 Absolute Value Equations and Inequalities1.9 Polynomial and Rational Inequalities The Rectangular Coordinate System, Lines, and Circles 2.1 The Rectangular Coordinate System2.2 Circles2.3 Lines2.4 Parallel and Perpendicular Lines Functions 3.1 Relations and Functions3.2 Properties of a Function’s Graph3.3 Graphs of Basic Functions; Piecewise Functions3.4 Transformations of Functions3.5 The Algebra of Functions; Composite Functions3.6 One-to-One Functions; Inverse Functions Polynomial and Rational Functions 4.1 Quadratic Functions4.2 Applications and Modeling of Quadratic Functions4.3 The Graphs of Polynomial Functions4.4 Synthetic Division; The Remainder and Factor Theorems4.5 The Zeros of Polynomial Functions; The Fundamental Theorem of Algebra4.6 Rational Functions and Their Graphs4.7 Variation Exponential and Logarithmic Functions and Equations 5.1 Exponential Functions5.2 Logarithmic Functions5.3 Properties of Logarithms5.4 Exponential and Logarithmic Equations5.5 Applications of Exponential and Logarithmic Functions An Introduction to Trigonometric Functions 6.1 An Introduction to Angles: Degree and Radian Measure6.2 Applications of Radian Measure6.3 Triangles6.4 Right Triangle Trigonometry6.5 Trigonometric Functions of General Angles6.6 The Unit Circle The Graphs of Trigonometric Functions 7.1 The Graphs of Sine and Cosine7.2 More on Graphs of Sine and Cosine; Phase Shift7.3 The Graphs of the Tangent, Cotangent , Cosecant, and Secant Functions7.4 Inverse Trigonometric Functions I7.5 Inverse Trigonometric Functions II Trigonometric Identities, Formulas, and Equations 8.1 Trigonometric Identities8.2 The Sum and Difference Formulas8.3 The Double-Angle and Half-Angle Formulas8.4 The Product-to-Sum and Sum-to-Product Formulas8.5 Trigonometric Equations Applications of Trigonometry 9.1 Right Triangle Applications9.2 The Law of Sines9.3 The Law of Cosines9.4 Area of Triangles Polar Equations, Complex Numbers, and Vectors 10.1 Polar Coordinates and Polar Equations10.2 Graphing Polar Equations10.3 Complex Numbers in Polar Form; DeMoivre’s Theorem10.4 Vectors10.5 The Dot Product Conic Sections and Parametric Equations 11.1 Introduction to Conic Sections11.2 The Parabola11.3 The Ellipse11.4 The Hyperbola11.5 Conic Sections in Polar Form11.6 Parametric Equations Systems of Equations and Inequalities 12.1 Solving Systems of Linear Equations in Two Variables12.2 Solving Systems of Linear Equations in Three Variables Using the Elimination Method12.3 Solving Systems of Linear Equations in Three Variables Using Gaussian Elimination and Gauss-Jordan Elimination12.4 Partial Fraction Decomposition12.5 Systems of Nonlinear Equations12.6 Systems of Inequalities Matrices 13.1 Matrix Operations13.2 Inverses of Matrices and Matrix Equations13.3 Determinants and Cramer’s Rule Sequences and Series; Counting and Probability 14.1 Introduction to Sequences and Series14.2 Arithmetic Sequences and Series14.3 Geometric Sequences and Series14.4 The Binomial Theorem14.5 Mathematical Induction14.6 The Theory of Counting14.7 An Introduction to Probability Appendices  A. Degree, Minute, Second Form and Degree Decimal FormB. Conic Section Proofs

About our author Kirk Trigsted teaches Precalculus at the University of Idaho, with 2000 students each year in a combined classroom and laboratory setting. He has been Director of the Polya Mathematics Center at the University of Idaho since its inception in 2001. Kirk has served as a consultant and redesign scholar for various projects through the National Center for Academic Transformation (NCAT). He is the lead author of an interactive, completely clickable series built from the ground up within MyLab Math. The series offers content spanning from Basic Math to Precalculus and Trigonometry.

• BRIEF TABLE OF CONTENTS NOTE: Both brief and comprehensive tables of contents are listed below. Review Chapter Equations, Inequalities, and ApplicationsThe Rectangular Coordinate System, Lines, and CirclesFunctionsPolynomial and Rational FunctionsExponential and Logarithmic Functions and EquationsAn Introduction to Trigonometric FunctionsThe Graphs of Trigonometric FunctionsTrigonometric Identities, Formulas, and EquationsApplications of TrigonometryPolar Equations, Complex Numbers, and VectorsConic Sections and Parametric EquationsSystems of Equations and InequalitiesMatricesSequences and Series; Counting and ProbabilityAppendices A. Degree, Minute, Second Form and Degree Decimal FormB. Conic Section ProofsCOMPREHENSIVE TABLE OF CONTENTS R. Review Chapter R.1 Real NumbersR.2 The Order of Operations and Algebraic ExpressionsR.3 The Laws of Exponents; RadicalsR.4 PolynomialsR.5 Operations with Radicals (New Section)R.6 Factoring PolynomialsR.7 Rational Expressions Equations, Inequalities, and Applications 1.1 Linear and Rational Equations1.2 Applications of Linear Equations and Rational Equation1.3 Complex Numbers1.4 Quadratic Equations1.5 Applications of Quadratic Equations1.6 Other Types of Equations1.7 Linear Inequalities in One Variable1.8 Absolute Value Equations and Inequalities1.9 Polynomial and Rational Inequalities The Rectangular Coordinate System, Lines, and Circles 2.1 The Rectangular Coordinate System2.2 Circles2.3 Lines2.4 Parallel and Perpendicular Lines Functions 3.1 Relations and Functions3.2 Properties of a Function’s Graph3.3 Graphs of Basic Functions; Piecewise Functions3.4 Transformations of Functions3.5 The Algebra of Functions; Composite Functions3.6 One-to-One Functions; Inverse Functions Polynomial and Rational Functions 4.1 Quadratic Functions4.2 Applications and Modeling of Quadratic Functions4.3 The Graphs of Polynomial Functions4.4 Synthetic Division; The Remainder and Factor Theorems4.5 The Zeros of Polynomial Functions; The Fundamental Theorem of Algebra4.6 Rational Functions and Their Graphs4.7 Variation Exponential and Logarithmic Functions and Equations 5.1 Exponential Functions5.2 Logarithmic Functions5.3 Properties of Logarithms5.4 Exponential and Logarithmic Equations5.5 Applications of Exponential and Logarithmic Functions An Introduction to Trigonometric Functions 6.1 An Introduction to Angles: Degree and Radian Measure6.2 Applications of Radian Measure6.3 Triangles6.4 Right Triangle Trigonometry6.5 Trigonometric Functions of General Angles6.6 The Unit Circle The Graphs of Trigonometric Functions 7.1 The Graphs of Sine and Cosine7.2 More on Graphs of Sine and Cosine; Phase Shift7.3 The Graphs of the Tangent, Cotangent , Cosecant, and Secant Functions7.4 Inverse Trigonometric Functions I7.5 Inverse Trigonometric Functions II Trigonometric Identities, Formulas, and Equations 8.1 Trigonometric Identities8.2 The Sum and Difference Formulas8.3 The Double-Angle and Half-Angle Formulas8.4 The Product-to-Sum and Sum-to-Product Formulas8.5 Trigonometric Equations Applications of Trigonometry 9.1 Right Triangle Applications9.2 The Law of Sines9.3 The Law of Cosines9.4 Area of Triangles Polar Equations, Complex Numbers, and Vectors 10.1 Polar Coordinates and Polar Equations10.2 Graphing Polar Equations10.3 Complex Numbers in Polar Form; DeMoivre’s Theorem10.4 Vectors10.5 The Dot Product Conic Sections and Parametric Equations 11.1 Introduction to Conic Sections11.2 The Parabola11.3 The Ellipse11.4 The Hyperbola11.5 Conic Sections in Polar Form11.6 Parametric Equations Systems of Equations and Inequalities 12.1 Solving Systems of Linear Equations in Two Variables12.2 Solving Systems of Linear Equations in Three Variables Using the Elimination Method12.3 Solving Systems of Linear Equations in Three Variables Using Gaussian Elimination and Gauss-Jordan Elimination12.4 Partial Fraction Decomposition12.5 Systems of Nonlinear Equations12.6 Systems of Inequalities Matrices 13.1 Matrix Operations13.2 Inverses of Matrices and Matrix Equations13.3 Determinants and Cramer’s Rule Sequences and Series; Counting and Probability 14.1 Introduction to Sequences and Series14.2 Arithmetic Sequences and Series14.3 Geometric Sequences and Series14.4 The Binomial Theorem14.5 Mathematical Induction14.6 The Theory of Counting14.7 An Introduction to Probability Appendices  A. Degree, Minute, Second Form and Degree Decimal FormB. Conic Section Proofs