Must Know High School Trigonometry
The new Must Know series is like a lightning bolt to the brain

Every school subject has must know ideas, or essential concepts, that lie behind it. This book will use that fact to help you learn in a unique way. Most study guides start a chapter with a set of goals, often leaving the starting point unclear. In Must Know High School Trigonometry, however, each chapter will immediately introduce you to the must know idea, or ideas, that lie behind the new trigonometry topic. As you learn these must know ideas, the book will show you how to apply that knowledge to solving trigonometry problems.

Focused on the essential concepts of trigonometry, this accessible guide will help you develop a solid understanding of the subject quickly and painlessly. Clear explanations are accompanied by numerous examples and followed with more challenging aspects of trigonometry. Practical exercises close each chapter and will instill you with confidence in your growing trigonometry skills.

Must Know High School Trigonometry features:

• Each chapter begins with the must know ideas behind the new topic
• Extensive examples illustrate these must know ideas
• Students learn how to apply this new knowledge to problem solving
• 250 practical review questions instill confidence
• IRL (In Real Life) sidebars present real-life examples of the subject at work in culture, science, and history
• Special BTW (By the Way) sidebars provide study tips, exceptions to the rule, and issues students should pay extra attention to
• Bonus app includes 100 flashcards to reinforce what students have learned

1131949901
Must Know High School Trigonometry
The new Must Know series is like a lightning bolt to the brain

Every school subject has must know ideas, or essential concepts, that lie behind it. This book will use that fact to help you learn in a unique way. Most study guides start a chapter with a set of goals, often leaving the starting point unclear. In Must Know High School Trigonometry, however, each chapter will immediately introduce you to the must know idea, or ideas, that lie behind the new trigonometry topic. As you learn these must know ideas, the book will show you how to apply that knowledge to solving trigonometry problems.

Focused on the essential concepts of trigonometry, this accessible guide will help you develop a solid understanding of the subject quickly and painlessly. Clear explanations are accompanied by numerous examples and followed with more challenging aspects of trigonometry. Practical exercises close each chapter and will instill you with confidence in your growing trigonometry skills.

Must Know High School Trigonometry features:

• Each chapter begins with the must know ideas behind the new topic
• Extensive examples illustrate these must know ideas
• Students learn how to apply this new knowledge to problem solving
• 250 practical review questions instill confidence
• IRL (In Real Life) sidebars present real-life examples of the subject at work in culture, science, and history
• Special BTW (By the Way) sidebars provide study tips, exceptions to the rule, and issues students should pay extra attention to
• Bonus app includes 100 flashcards to reinforce what students have learned

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Must Know High School Trigonometry

Must Know High School Trigonometry

Must Know High School Trigonometry

Must Know High School Trigonometry

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Overview

The new Must Know series is like a lightning bolt to the brain

Every school subject has must know ideas, or essential concepts, that lie behind it. This book will use that fact to help you learn in a unique way. Most study guides start a chapter with a set of goals, often leaving the starting point unclear. In Must Know High School Trigonometry, however, each chapter will immediately introduce you to the must know idea, or ideas, that lie behind the new trigonometry topic. As you learn these must know ideas, the book will show you how to apply that knowledge to solving trigonometry problems.

Focused on the essential concepts of trigonometry, this accessible guide will help you develop a solid understanding of the subject quickly and painlessly. Clear explanations are accompanied by numerous examples and followed with more challenging aspects of trigonometry. Practical exercises close each chapter and will instill you with confidence in your growing trigonometry skills.

Must Know High School Trigonometry features:

• Each chapter begins with the must know ideas behind the new topic
• Extensive examples illustrate these must know ideas
• Students learn how to apply this new knowledge to problem solving
• 250 practical review questions instill confidence
• IRL (In Real Life) sidebars present real-life examples of the subject at work in culture, science, and history
• Special BTW (By the Way) sidebars provide study tips, exceptions to the rule, and issues students should pay extra attention to
• Bonus app includes 100 flashcards to reinforce what students have learned


Product Details

ISBN-13: 9781260459883
Publisher: McGraw Hill LLC
Publication date: 01/10/2020
Pages: 272
Product dimensions: 7.30(w) x 9.00(h) x 0.70(d)
Age Range: 13 - 17 Years

About the Author

William D. Clark, PhD, is professor of mathematics at Stephen F. Austin State University.

Sandra Luna McCune, PhD, is professor emeritus and a former Regents Professor who taught as a mathematics specialist at Stephen F. Austin State University.

Table of Contents

Introduction vii

The Flashcard App ix

1 Angels ad Their Measure 1

Basic Concepts and Terminology of Angles 2

Complementary and Supplementary Angles 6

Caterminal Angles 6

Reference Angles 7

Radian Measure 9

Applications of Radian Measure 11

2 Concepts from Geometry 19

The Sum of a Triangle's Angles 20

The Triangle Inequality Theorem 21

The Pythagorean Theorem 22

Similar Triangles 26

5 Right Triangle Trigonometry 34

Trigonometric Ratios of an Acute Angle in a Right Triangle 35

Trigonometric Ratios of Special Acute Angles 38

Finding Missing Sides in Right Triangles with Special Acute Angles 40

4 The Trigonometry of General Right Triangles 45

Solving Right Triangles 46

Applications of Right Triangle Trigonometry 48

5 The Trigonometry of Oblique Triangles 53

Law of Cosines (SAS or SSS) 54

Law of Sines (ASA or AAS) 58

Law of Sines Ambiguous Case (SSA) 63

Solving General Triangles 66

Area of a General Triangle Using Trigonometry 69

6 Trigonometric Functions of Any Angel 81

Trigonometric Functions of Complementary Angles 87

Unit Circle Trigonometry 89

Trigonometric Functions of Quadrantal Angles 91

Trigonometric Functions of Coterminal Angles 94

Trigonometric Functions of Negative Angles 94

Using Reference Angles to Find the Values of Trigonometric Functions 96

7 Trigonometric Identities 106

Definition and Guidelines 107

The Reciprocal and Ratio Identities 109

The Cofunction, Periodic, and Even-Odd Identities 110

The Pythagorean Identities 112

Sum and Difference Formulas for the Sine Function 114

Sum and Difference Formulas for the Cosine Function 116

Sum and Difference Formulas for the Tangent Function 117

Double-Angle Identities 119

Half-Angle Identities 121

8 Trigonometric Functions of Real Numbers 132

Definitions and Basic Concepts of Trigonometric Functions of Real Numbers 133

Periodic Functions 135

9 Graphs of the Sine Function 142

The Graph of y = sin x 143

The Graph of y - A sin x 146

The Graph of y = A sin Bx 148

The Graph of y = A sin(Bx - C) 150

The Graph of y = A sin(Bx - C) + D 153

10 Graphs of the Cosine Function 162

The Graph of y = cos x 163

The Graph of y = A cos(Bx - C) + D 165

11 Graphs of the Tangent Function 172

The Graph of y = tan x 173

The Graph of y = A tan(Bx - C) + D 174

12 Inverse Trigonometric Functions 177

Definitions and Basic Concepts of the Inverse Sine, Cosine, and Tangent Functions 178

Evaluating the Inverse Sine, Cosine, and Tangent Functions 182

13 Solving Trigonometric Equations 190

Solving for Exact Solutions to Trigonometric Equations 193

Solving for Approximate Solutions to Trigonometric Equations 199

Answer Key 204

Appendix A Calculator Instructions for Trigonometry Using the TI-84 Plus 246

Appendix B Trigonometric Identities/Formulas 255

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