Taking Trig for a Ride: What Trig is
1-1  Sizing up the Basic Figures
1-2  Angling for Position
1-3  Triangulating Your Position
1-4  Circling the Wagons
Understanding Trig Speak
1-5  Defininf Trig Functions
1-6  Taming the Radicals
Equating and Identifying
Graphing for Gold
1-7  Describing Graphing Scales
1-8  Recognizing Basic Graphs

Starting Out Simple: Plotting Points
2-1  Axes, Axes, We All Fall Down
2-2  Determining the Origin of It All
2-3  Plotting x versus y
2-4  Cutting the Graph into Four Parts
From Here to There: Calculating Distances
2-5  Counting on Vertical and Horizontal Distances
2-6  Another Slant: Diagonal Distances
2-7  Using Exact Values or Estimating Distances
Getting to the Center of It All
2-8  Finding the Midopoint of a Line Segment
2-9  Locating the Center of a Circle
2-10  Partitioning Line Segments Further
2-11  Pinpointing the Center of a Triangle
Racing Down the Slope
2-12  Slaloming Slope Formula
2-13  Recognizing Parallel and Perpendicular Lines
Defining Circles with Numbers
2-14  Centering Circles at the Origin
2-15  Wandering Centers

Relations versus Functions
3-1  Function Junction, What's Your Function?
3-2  Using function Notation
3-3  Determining Domain and Range
In-Verse Functions: Rhyme or Reason?
3-4  Which Functions Have Inverses?
3-5  Finding An Inverse Function
Transforming Functions
3-6  Translating a Function
3-7  Reflecting Like a Mirror

Angles, Angles Everywhere: Measuring in Degrees
4-1  Slicing a Coordinate Plane
4-2  Looking Elsewhere for Degree Measures
Graphing Angles in Standard Position
4-3  Positioning Initial and terminal Dides
4-4  Measuring by Quadrants
What's Your Angle> Labelling in Various Ways
4-5  Using Negative Angle Measures
4-6  Comingling with Coterminal Angles
4-7  Renaming Angles: So Many Aliases

What's in a Radian?
5-1  Relating to a Circle
5-2  Converting Degrees and Radians
5-3  Highlighting Favorites
Making a Clone of Arc
5-4  Taking Chuncks out of Circles
5-5  Sweeping Hands
5-6  Going Out And About

Sizing Up Right Triangles
6-1  What's So Right About Them?
6-2  The Anatomy of a Right Triangle
Pythagoras Schmythagoras: Demystifying the Pythagorean Theorem
6-3  Hitting a Pythagorean Triple
6-4  Solving for a Missiing Length
In a League of Their Own: Special Right Triangles 6-5 30-60-90 Right Triangles
6-6  Isosceles Right Triangles

SohCahToa to the Rescue: How Trig Functions Work
7-1  The Name Game: A Right Triangle's Three Sides
7-2  The Six Ratios: Relating the Three Sides
7-3  The Sine Function: Opposite Over Hypotehuse
7-4  The Cosine Function: Adjacent Over Hypotenuse
7-5  The Tangent Function: Opposite Over Adjacent
7-6  All Together, Now: Using One Function to Solve for Another
7-7  Similar Right Triangles Within a Right Triangle
7-8  Socjing the Rules Away: the Legend of SohCahToa
Taking It a Step Further: Reciprocal Functions
7-9  The Cosecant Function: Sine Flipped Upside Down
7-10  The Secant function: Cosine On Its Head
7-11  The Cotangent Function: Tangent, Tail Side Up
Angling In On Your Favorites
7-12  Identifying The Most Popular Angles
7-13  Determining the Exact Values of Functions

Getting Acquainted With the Unit Circle
8-1  Placing Points on the Unit Circlebr> 8-2 Finding a Missing coordinate
8-3  Sticking to Rational Coordinates
Going Full Circle with the Angles 8-4 Staying Positive
8-5  Being Negative or Multipying Your Angles
8-6  Locating and Computing Reference angles

Defininf Trig Functions For All Angles
9-1  Putting Reference Angles to Use
9-2  Labelling the Optimists and Pessimists
9-3  Combining All the Rules
Using Coordinates of Circles to Solve For Trig Functions
9-4  Calculating With Coordinates on the Unit Circle
9-5  Calculating With Coordinates on any Cirle at the Origin
Defining Domains and Ranges of Trig Functions
9-6  Friendly Functions: sine and Cosine
9-7  Close Cousins of Their Reciprocals Coecant and Secant
9-8  Brothers out on Their Own: Tangent and Cotangent

First Things First: Elevating and Depressing
Measuring Tall Buildings with a Single Bound
10-1  Rescuing a Damsel From a Tower
10-2  Determining the height of a Tree
10-3  Measuring the Distance Between Buildings
Measuring Slope
The Sky's (Not) the Limit
10-4  Spotting a Balloon
10-5  Tracking a Rocket
10-6  Measuring the View of Satellite Cameras
Calculating Odd Shapes and Maneuvering Corners
10-7  Finding the Area of a Triangular Piece of Land
10-8  Using Heron's Formula
10-9  Moving an Object Around a Corner

Flipping Functions on Their Backs: Reciprocal Identities
Function to Function: Ratio Identites
Opposites Attract: Opposite-Angle Identities
Revisiting the Classic Theorem: Pythagorean Identities
11-1  The Mother of All Pythagorean Identities
11-2  Extending to Tangent and Secant
11-3  Finishing Up With Cotangent and Cosecant
11-4  Rearranging the Pythagorean Identities
Combining the Identities
11-5  The Many Faces of Sine
11-6  Working Out The Versions

Summing It Up
Ivercoming the differences
Doubling Your Money
12-1  One Plus One Equals Two Sines
12-2  Three's a Crowd
Halving Fun Yet?
12-3  Explaining the ±
12-4  Half a Tangent is Double the fun
12-5  Using Half-Angle Identities

Lining Up the Players
Picking Sides
Working on Both Sides
going Back to Square One
13-1  Changing to Sines and Cosines
13-2  Factoring
13-3  Using a Little Bit of Both

Fracturing Frctions
14-1  Breaking Up Is Hard To Do
14-2  Finding a Common Denominator
Using Tricks of the Trig Trade
14-3  multipying by a Conjugate
14-4  Squaring Both Sides
Identifying With the Operations
14-5  Adding it Up
14-6  What Difference Does It Make?
14-7  Multiplying Your Fun
14-8  Having Fun, Wish You Were here

Writing It Right
15-1  Using the Notation
15-2  Distinguishing Between the Few and the Many
Determining Domain and Range of Inverse Trig Functions
15-3  Inverse Sine Function
15-4  Inverse Cosine Function
15-5  Inverse Tangent Function
15-6  Inverse Cotangent Function
15-7  Inverse Secant Function
15-8  Inverse Cosecant Function
15-9  Summarizing Domain and Range

Working With Inverses
Getting Friendly With Your Calculator
16-1  Changing the Mode
16-2  Interpreting Notation on the Calculator
Multiplying The Input
Solving Some Mixed Problems

Generating Simple Solutios
Factoring In the Solutions
17-1  Finding a Greatest Common Factor
17-2  Factoring Quadractics
17-3  Increasing the Degrees in Factoring
17-4  Factoring By Grouping
Using the Quadratic Formula<br> Incorporating Identities
Finding Multiple-Angle Solutions
Squaring Both Side
Multiplying Through
Solving With a Graphing Calculator

Describing the Parts of Triangles
18-1  Standardizing the Parts
18-2  Determining a Triangle
Following the Law of Sines
Continuing With the Law of Cosines
18-3  Defining the Law of Cosines
18-4  Law of Cosines for SAS
18-5  Law of Cosines for SSS
18-6  Being Ambiguous
Finding the Area of Triangles
18-7  Finding Area With Base and Height
18-8  Finding Area With Three Sides
18-9  Finding Area With SAS
18-10  Finding Area With ASA

The ABCs of Graphing
Waving at the Sine
19-1  Describing Amplitude and Period
19-2  Formalizing the Sine Eqation
19-3  Translating the Sine
Graphing Cosine
19-4  Comparing Cosine to Sine
19-5  Using Properties to Graph Cosine
Applying the Sines of the Times
19-6  Sunnung Yourself
19-7  Averaging Temperature
19-8  Taking your temperature
19-9  Taking a Goal
19-10  Theorizing With Biorhythms

Checking Out Tangent
20-1  Determining the Period
20-2  Assigning the Asymptotes
20-3  Fiddling With the Tangent
Confronting the Cotangent

Seeing the Cosecant For What It Is
21-1  Identifying the Asymptotes
21-2  Using the Sine Graph
21-3  Varying The Cosecant
Unveiling the Secant
21-4  Determining the Asymptotes
21-5  Sketching the Graph of Secant
21-6  Fooling Around With Secant
Laying Out the Inverse Functions
21-7  Graphing Inverse Sine and Cosine
21-8  Taking On Inverse Tangent and Cotangent
21-9  Crafting Inverse Secant and Cosecant

The Basics of Trig Equations
22-1  Flipping Over a Horizontal Line
22-2  Interpreting the Equation
Graphing with the General Form
Adding and Subtracting Functions
Applying Yourself to the Task
22-3  Measuring the Tide
22-4  Tracking the Deer Population
22-5  Measuring the Movement of an Object on a Spring

23-1  Reciprocal Identities
23-2  Ratio Identities
23-3  Pythagorean Identities
23-4  Opposite-Angle Identities
23-5  Multiple-Angle Identities

24-1  Product-to-Sum Identities
24-2  Sum-to-Product Identities
24-3  Reduction Formula
24-4  Mollweide's Equations