# McGraw-Hill Education Trigonometry Review and Workbook

1^{st}Edition

ISBN10: 126012892X

ISBN13: 9781260128925

Copyright: 2019

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### Program Details

CHAPTER 1 Angles and Their Measure

Definitions and Terminology

Complementary and Supplementary Angles

Coterminal Angles and Reference Angles

Radian Measure

CHAPTER 2 Concepts from Geometry

The Sum of a Triangle’s Angles and the Triangle Inequality

The Pythagorean Theorem

CHAPTER 3 Right Triangle Trigonometry

Trigonometric Ratios of an Acute Angle in a Right Triangle

Trigonometric Ratios of Special Acute Angles

CHAPTER 4 General Right Triangles

Solving Right Triangles

Applications of Right Triangle Trigonometry

CHAPTER 5 Oblique Triangles

Law of Cosines (SAS or SSS)

Law of Sines (ASA or AAS)

Law of Sines Ambiguous Case (SSA)

Solving General Triangles

Area of a General Triangle Using Trigonometry

CHAPTER 6 Trigonometric Functions of Any Angle

Definitions of the Trigonometric Functions

Trigonometric Functions of Complementary Angles

The Unit Circle

Trigonometric Functions of Quadrantal Angles

Trigonometric Functions of Coterminal Angles

Trigonometric Functions of Negative Angles

Using Reference Angles to Find the Values of Trigonometric Functions

CHAPTER 7 Trigonometric Identities

Definition and Guidelines

The Reciprocal and Ratio Identities

The Pythagorean Identities

Sum and Difference Formulas for the Sine Function

Sum and Difference Formulas for the Cosine Function

Sum and Difference Formulas for the Tangent Function

Reduction Formulas

Double-Angle Identities

Half-Angle Identities

Sum-to-Product Identities

Product-to-Sum Identities

CHAPTER 8 Trigonometric Functions of Real Numbers

Definitions and Basic Concepts of Trigonometric Functions of Real Numbers

Periodic Functions

CHAPTER 9 Graphs of the Sine Function

The Graph of y = sin x

The Graph of y = A sin x

The Graph of y = A sin Bx

The Graph of y = A sin (Bx – C)

The Graph of y = A sin (Bx – C) + D

CHAPTER 10 Graphs of the Cosine Function

The Graph of y = cos x

The Graph of y = A cos (Bx – C) + D

CHAPTER 11 Graphs of the Tangent Function

The Graph of y = tan x

The Graph of y = A tan (Bx – C) + D

CHAPTER 12 Graphs of the Secant, Cosecant, and Cotangent Functions

The Graph of y = A sec (Bx – C) + D

The Graph of y = A csc (Bx – C) + D

The Graph of y = A cot (Bx – C) + D

CHAPTER 13 Inverse Trigonometric Functions

The Inverse Sine, Cosine, and Tangent Functions

The Inverse Secant, Cosecant, and Cotangent Functions

CHAPTER 14 Solving Trigonometric Equations

Basic Concepts of Trigonometric Equations

Solving for Exact Solutions to Trigonometric Equations

Solving for Approximate Solutions to Trigonometric Equations

CHAPTER 15 Trigonometric Form of a Complex Number

Definition of the Trigonometric Form of a Complex Number

The Product and Quotient of Trigonometric Forms of Complex Numbers

De Moivre’s Theorem

Roots of Complex Numbers

CHAPTER 16 Polar Coordinates

Basic Concepts of Polar Coordinates

Converting Between Coordinate Systems

Graphing Equations in Polar Form

Glossary

APPENDIX A Calculator Instructions for Trigonometry Using the TI-84 Plus

General Usage

Setting the Calculator to Degree or Radian Mode

Overriding Radian or Degree Mode

Evaluating Trigonometric Functions

Determining Inverse Trigonometric Values

Graphing Polar Equations

APPENDIX B Trigonometric Identities

APPENDIX C The Complex Plane

Answer Key

# About the Author

**William Clark**

**Sandra Luna McCune**

CHAPTER 1 Angles and Their Measure

Definitions and Terminology

Complementary and Supplementary Angles

Coterminal Angles and Reference Angles

Radian Measure

CHAPTER 2 Concepts from Geometry

The Sum of a Triangle’s Angles and the Triangle Inequality

The Pythagorean Theorem

CHAPTER 3 Right Triangle Trigonometry

Trigonometric Ratios of an Acute Angle in a Right Triangle

Trigonometric Ratios of Special Acute Angles

CHAPTER 4 General Right Triangles

Solving Right Triangles

Applications of Right Triangle Trigonometry

CHAPTER 5 Oblique Triangles

Law of Cosines (SAS or SSS)

Law of Sines (ASA or AAS)

Law of Sines Ambiguous Case (SSA)

Solving General Triangles

Area of a General Triangle Using Trigonometry

CHAPTER 6 Trigonometric Functions of Any Angle

Definitions of the Trigonometric Functions

Trigonometric Functions of Complementary Angles

The Unit Circle

Trigonometric Functions of Quadrantal Angles

Trigonometric Functions of Coterminal Angles

Trigonometric Functions of Negative Angles

Using Reference Angles to Find the Values of Trigonometric Functions

CHAPTER 7 Trigonometric Identities

Definition and Guidelines

The Reciprocal and Ratio Identities

The Pythagorean Identities

Sum and Difference Formulas for the Sine Function

Sum and Difference Formulas for the Cosine Function

Sum and Difference Formulas for the Tangent Function

Reduction Formulas

Double-Angle Identities

Half-Angle Identities

Sum-to-Product Identities

Product-to-Sum Identities

CHAPTER 8 Trigonometric Functions of Real Numbers

Definitions and Basic Concepts of Trigonometric Functions of Real Numbers

Periodic Functions

CHAPTER 9 Graphs of the Sine Function

The Graph of y = sin x

The Graph of y = A sin x

The Graph of y = A sin Bx

The Graph of y = A sin (Bx – C)

The Graph of y = A sin (Bx – C) + D

CHAPTER 10 Graphs of the Cosine Function

The Graph of y = cos x

The Graph of y = A cos (Bx – C) + D

CHAPTER 11 Graphs of the Tangent Function

The Graph of y = tan x

The Graph of y = A tan (Bx – C) + D

CHAPTER 12 Graphs of the Secant, Cosecant, and Cotangent Functions

The Graph of y = A sec (Bx – C) + D

The Graph of y = A csc (Bx – C) + D

The Graph of y = A cot (Bx – C) + D

CHAPTER 13 Inverse Trigonometric Functions

The Inverse Sine, Cosine, and Tangent Functions

The Inverse Secant, Cosecant, and Cotangent Functions

CHAPTER 14 Solving Trigonometric Equations

Basic Concepts of Trigonometric Equations

Solving for Exact Solutions to Trigonometric Equations

Solving for Approximate Solutions to Trigonometric Equations

CHAPTER 15 Trigonometric Form of a Complex Number

Definition of the Trigonometric Form of a Complex Number

The Product and Quotient of Trigonometric Forms of Complex Numbers

De Moivre’s Theorem

Roots of Complex Numbers

CHAPTER 16 Polar Coordinates

Basic Concepts of Polar Coordinates

Converting Between Coordinate Systems

Graphing Equations in Polar Form

Glossary

APPENDIX A Calculator Instructions for Trigonometry Using the TI-84 Plus

General Usage

Setting the Calculator to Degree or Radian Mode

Overriding Radian or Degree Mode

Evaluating Trigonometric Functions

Determining Inverse Trigonometric Values

Graphing Polar Equations

APPENDIX B Trigonometric Identities

APPENDIX C The Complex Plane

Answer Key

# About the Author

**William Clark**

**Sandra Luna McCune**

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