 # CliffsNotes Trigonometry Common Core Quick Review

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## Overview

A quick in, quick out review of Trigonometry Common Core math

Relevant to high school students enrolled in their Trigonometry class in states adhering to the Common Core math standards, this quick review provides targeted chapter-level reviews of topics aligned to the Trigonometry Common Core math standards. The lessons are reinforced with practice problems throughout each chapter as well as chapter-end quizzes.

This quick review is supplemented with 300+ multiple-choice questions available on CliffsNotes.com. ## Product Details

ISBN-13: 9780544734135 HMH Books 01/23/2018 First Edition, New edition 272 751,312 5.20(w) x 8.10(h) x 0.90(d) 13 - 17 Years

## About the Author

M. SUNIL R. KOSWATTA, Ph.D., currently a mathematics professor at Harper College in Illinois, has been an educator and mathematics curriculum writer for twenty-five years. Dr. Koswatta has mentored K–12 teachers on the Common Core standards and was a member of the EngageNY Common Core curriculum writing team.

## Table of Contents

Introduction 1

Common Core State Standards for Mathematics (CCSSM) 1

Connecting to Common Core Mathematics 2

Why You Need This Book 3

How to Use This Book 3

Hundreds of Practice Questions Online! 4

Chapter 1 Geometric Prerequisites 5

Congruence 6

Dilation 7

Similarity 8

Pythagorean Theorem 8

Chapter 2 Trigonometric Numbers of Angles 11

Angles 12

Sine and Cosine Numbers of Acute Angles 18

Sine and Cosine Numbers of an Acute Angle of a Right Triangle 20

Sine and Cosine Numbers of Any Angles 23

The Unit Circle 25

Sine and Cosine Numbers of Special Angles 29

Tangent, Cosecant, Secant, and Cotangent Numbers of Angles 38

Chapter 3 Trigonometric Functions 43

Sine Function 44

Cosine Function 48

General Sine and Cosine Functions 49

Tangent Function 64

Cosecant Function 67

Secant Function 69

Cotangent Function 71

Chapter 4 Inverse Trigonometric Functions 75

Inverse Functions 76

Inverse Sine Function 78

Inverse Cosine Function 79

Inverse Tangent Function 80

Other Inverse Trigonometric Functions 87

Chapter 5 Basic Trigonometric Equations 93

Basic Sine Equation 94

Basic Cosine Equation 97

Basic Tangent Equation 100

Chapter 6 Trigonometry of Triangles 105

Solving Right Triangles 107

Solving Triangles: SSS and SAS Cases 113

Solving Triangles: SAA and SSA Cases 118

Areas of Triangles 131

Chapter 7 Trigonometric Identities and Equations 139

Fundamental Identities 140

Sum and Difference Identities 144

Double-Angle Identities 155

Half-Angle Identities 159

Product-to-Sum and Sum-to-Product Identities 162

Trigonometric Equations 165

Chapter 8 Vectors 171

Vector Operations 173

Vectors in a Rectangular Coordinate System 182

The Dot Product of Two Vectors 189

Chapter 9 Polar Coordinates and Complex Numbers 197

Polar Coordinates 198

Graphs of Polar Equations 199

Relationships Between Polar and Rectangular Coordinates 202

Complex Numbers 208

Polar Form of a Complex Number 210

Mulriplication and Division of Complex Numbers in Polar Form 212

De Moivre's Theorem and Powers of Complex Numbers in Polar Form 214

Complex Roots of Complex Numbers in Polar Form 216

Chapter 10 Additional Topics 221

Uniform Circular Motion 221

Simple Harmonic Motion 224

Review Questions 233

Glossary 243

Appendix: Theorems 247

Chapter 1 Geometric Prerequisites 247

Chapter 2 Trigonometric Numbers of Angles 248

Chapter 3 Trigonometric Functions 250

Chapter 4 Inverse Trigonometric Functions 251

Chapter 5 Basic Trigonometric Equations 251

Chapter 6 Trigonometry of Triangles 251

Chapter 7 Trigonometric Identities and Equations 252

Chapter 8 Vectors 255

Chapter 9 Polar Coordinates and Complex Numbers 256

Index 259