Trigonometry For Dummies, 3rd Edition

Length: 400 pages
Edition: 3
Language: English
Publisher: For Dummies
Publication Date: 2023-03-08
ISBN-10: 1394168551
ISBN-13: 9781394168552
Sales Rank: #1335031 (See Top 100 Books)

Make trigonometry as easy as 1-2-3

Believe it or not, trigonometry is easier than it looks! With the right help, you can breeze through your next trig class, test, or exam and be ready for your next math challenge. In Trigonometry For Dummies, you’ll learn to understand the basics of sines, cosines, and tangents, graph functions, solve tough formulas, and even discover how to use trig outside the classroom in some cool and interesting ways.

Ditch the confusing jargon and take a plain-English tour of one of the most useful disciplines in math. In this lifesaving guide, you’ll learn how to:

Graph trig functions, including sine, cosine, tangent, and cotangent functions
Understand inverse trig functions and solve trig equations
Relate triangles to circular functions and get a handle on basic identities

So, whether you’re looking for an easy-to-use study guide, to boost your math grade, or get a refresher on some basic trig concepts after a long absence from studying, Trigonometry For Dummies is your ticket to understanding the mathematical mysteries of the triangle.

Cover
Title Page
Copyright
Introduction
    About This Book
    Foolish Assumptions
    Icons Used in This Book
    Beyond the Book
    Where to Go from Here
Part 1: Getting Started with Trigonometry
    Chapter 1: Taking On Trig Technicalities
        Taking Trig for a Ride: What Trig Is
        Understanding Trig Speak
        Equating and Identifying
        Finding Trig Applications in the Basics
    Chapter 2: Cooperating with Cartesian Coordinates
        Starting Out Simple: Plotting Points
        From Here to There: Calculating Distances
        Getting to the Center of It All
        Racing Down the Slope
        Defining Circles with Numbers
        Circling Around with Applications
    Chapter 3: Finding Degrees in Triangles and Planes
        Angles, Angles Everywhere: Measuring in Degrees
        Graphing Angles in Standard Position
        What’s Your Angle? Labeling in Various Ways
        Making Degrees Work for You
    Chapter 4: Dishing Out the Pi: Radians
        What’s in a Radian?
        Making a Clone of Arc
    Chapter 5: Tackling Right Triangles
        Sizing Up Right Triangles
        Demystifying the Pythagorean Theorem
        In a League of Their Own: Special Right Triangles
        Getting the Applications Right
Part 2: Trigonometric Functions
    Chapter 6: Describing Trig Functions
        Discovering How Trig Functions Work
        Taking It a Step Further: Reciprocal Functions
        Angling In on Your Favorites
        Building a Shorter Route
    Chapter 7: Relating Triangles to Circular Functions
        Getting Acquainted with the Unit Circle
        Going Full Circle with the Angles
        Navigating with Circular Measures
    Chapter 8: Taking Trig Functions Global
        Defining Trig Functions for All Angles
        Using Coordinates of Circles to Solve for Trig Functions
        Defining Domains and Ranges of Trig Functions
        Applying the Trig Functions
    Chapter 9: Applying Yourself to Trig Functions
        First Things First: Elevating and Depressing
        Measuring Tall Buildings with a Single Bound
        Measuring Slope
        The Sky’s (Not) the Limit
        Calculating Odd Shapes and Maneuvering Corners
Part 3: Identities
    Chapter 10: Introducing Basic Identities
        Flipping Functions on Their Backs: Reciprocal Identities
        Function to Function: Ratio Identities
        Opposites Attract: Opposite-Angle Identities
        Revisiting the Classic Theorem: Pythagorean Identities
        Combining the Identities
    Chapter 11: Operating on Identities
        Summing It Up
        Overcoming the Differences
        Doubling Your Money
        Halving Fun Yet?
        Comparing Exact Values and Estimations
    Chapter 12: Proving Identities: The Basics
        Lining Up the Players
        Picking Sides
        Working on Both Sides
        Going Back to Square One
    Chapter 13: Sleuthing Out Identity Solutions
        Fracturing Fractions
        Using Tricks of the Trig Trade
        Identifying with the Operations
        Applying the Magic of Trigonometry
Part 4: Equations and Applications
    Chapter 14: Investigating Inverse Trig Functions
        Writing It Right
        Determining Domain and Range of Inverse Trig Functions
    Chapter 15: Making Inverse Trig Work for You
        Working with Inverses
        Getting Friendly with Your Calculator
        Multiplying the Input
        Solving Some Mixed Problems
        Finding an Unknown Angle
    Chapter 16: Solving Trig Equations
        Generating Simple Solutions
        Factoring In the Solutions
        Using the Quadratic Formula
        Incorporating Identities
        Finding Multiple-Angle Solutions
        Squaring Both Sides
        Multiplying Through
        Solving with a Graphing Calculator
    Chapter 17: Obeying the Laws and Applying Them
        Describing the Parts of Triangles
        Following the Law of Sines
        Continuing with the Law of Cosines
        Finding the Areas of Triangles
Part 5: The Graphs of Trig Functions
    Chapter 18: Graphing Sine and Cosine
        The ABCs of Graphing
        Waving at the Sine
        Graphing Cosine
        Applying the Sines of the Times
    Chapter 19: Graphing Tangent and Cotangent
        Checking Out Tangent
        Confronting the Cotangent
    Chapter 20: Graphing Two More Trig Functions
        Seeing the Cosecant for What It Is
        Unveiling the Secant
        Laying Out the Inverse Functions
    Chapter 21: Topping Off Trig Graphs
        The Basics of Trig Equations
        Graphing with the General Form
        Adding and Subtracting Functions
        Applying Yourself to the Task
Part 6: The Part of Tens
    Chapter 22: Ten Basic Identities … Plus Some Bonuses
        Reciprocal Identities
        Ratio Identities
        Pythagorean Identity Plus
        Opposite-Angle Identities
        Multiple-Angle Identities
    Chapter 23: Ten Not-So-Basic Identities
        Product-to-Sum Identities
        Sum-to-Product Identities
        Reduction Formula
        Mollweide’s Equations
Appendix: Graphs and Function Values
    The Six Basic Trigonometric Functions and Their Graphs
    Trig Values of the Most Commonly Used Functions
    Trig Values of the Most Commonly Used Functions (Continued)
    Calculator Usage
Index
About the Author
Connect with Dummies
End User License Agreement