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MATH Courses for School GPA STARPREP® MATHEMATICS PROGRAMSTrigonometry

Trigonometry, the branch of mathematics concerned with specific functions of angles and their application to calculations. There are six functions of an angle commonly used in trigonometry. Their names and abbreviations are sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc). These six trigonometric functions in relation to a right triangle are displayed in the figure. For example, the triangle contains an angle A, and the ratio of the side opposite to A and the side opposite to the right angle (the hypotenuse) is called the sine of A, or sin A; the other trigonometry functions are defined similarly. These functions are properties of the angle A independent of the size of the triangle, and calculated values were tabulated for many angles before computers made trigonometry tables obsolete. Trigonometric functions are used in obtaining unknown angles and distances from known or measured angles in geometric figures.

Trigonometry developed from a need to compute angles and distances in such fields as astronomy, mapmaking, surveying, and artillery range finding. Problems involving angles and distances in one plane are covered in plane trigonometry. Applications to similar problems in more than one plane of three-dimensional space are considered in spherical trigonometry.

Trigonometry™

STARPREP®에서 제공하는 Trigonometry™, High School 프로그램은 총 4개의 다양한
(GAP Boost for School Exams 내신성적 향상수업 / GPA Boost for Concepts 개념위주 수업
Summer Boot Camp 여름방학 집중수업 / Winter Boot Camp 겨울방학 집중수업)
을 제공하며 학생 요구(Needs)에 따라 최적의 수업을 선택할 수 있습니다.

[학생의 성적/수업 이해도에 따라 다른 FIELDS(과목별)/SECTOR(수준별 반)으로의 전환이 이루어집니다.]

for Graders 9-11
(STARPREP® course code: TRIGO)


Chair: Dr. Jerome Lee (MIT)

Registration Board

High School Trigonometry™

  • Lecture Dates/Registration Status
  • Every Friday
    6:00pm-9:00pm

    Korea Standard Time (KST)

    ★Premium Private/Elite Tutoring★

    Currently being available
  • Trigonometry™
  • Course Code/Specialty
  • STARPREP® COURSE CODE : TRIGO-01
  • Features/Legacy
  • ★GPA BOOST & SIGNATURE LESSON★

    Trigonometry™ 내신성적향상 수업

    ImproveMyGPA™
    Students' Satisfaction : above 90%

    Optimizing Concurrent Classrooms
    (In the Classroom And Online Simultaneously)
  • Trigonometry™
  • Lecture Dates/Registration Status
  • Every Saturday
    1:00-4:00pm

    Korea Standard Time (KST)

    ★Premium Private Tutoring★

    Currently being available
  • Trigonometry™
  • Course Code/Specialty
  • STARPREP® COURSE CODE : TRIGO-02

    ★Trigonometry™ 내신성적향상 수업★
    ImproveMyGPA™
  • Features/Legacy
  • ★GPA BOOST & SIGNATURE LESSON★

    Trigonometry™ 내신성적향상 수업

    ImproveMyGPA™
    Students' Satisfaction : above 90%

    Optimizing Concurrent Classrooms
    (In the Classroom And Online Simultaneously)
  • Trigonometry™
  • Lecture Dates/Registration Status
  • Every Saturday
    4:00-7:00pm

    Korea Standard Time (KST)

    ★Premium Private/Elite Tutoring★

    Currently being available
  • Trigonometry™
  • Course Code/Specialty
  • STARPREP® COURSE CODE : TRIGO-03

    ★Trigonometry™ 내신성적향상 수업★
    ImproveMyGPA™
  • Features/Legacy
  • ★GPA BOOST & SIGNATURE LESSON★

    Trigonometry™ 내신성적향상 수업

    ImproveMyGPA™
    Students' Satisfaction : above 90%

    Optimizing Concurrent Classrooms
    (In the Classroom And Online Simultaneously)
  • Trigonometry™
  • Lecture Dates/Registration Status
  • Every Monday & Wednesday
    7:00-9:00pm

    Korea Standard Time (KST)

    ★Premium Group/Elite Tutoring★

    Currently being unavailable
  • Trigonometry™
  • Course Code/Specialty
  • STARPREP® COURSE CODE : TRIGO-04

    ★Trigonometry™ 내신성적향상 수업★
    ImproveMyGPA™
  • Features/Legacy
  • ★GPA BOOST & SIGNATURE LESSON★

    Trigonometry™ 내신성적향상 수업

    ImproveMyGPA™
    Students' Satisfaction : above 90%

    Optimizing Concurrent Classrooms
    (In the Classroom And Online Simultaneously)
  • Trigonometry™
Lecture Dates/Registration Status Course Code/Specialty Features/Legacy
Every Friday
6:00pm-9:00pm

Korea Standard Time (KST)

★Premium Private/Elite Tutoring★

Currently being available
STARPREP® COURSE CODE : TRIGO-01

★Trigonometry™ 내신성적향상 수업★
ImproveMyGPA™

★GPA BOOST & SIGNATURE LESSON★

Trigonometry™ 내신성적향상 수업

ImproveMyGPA™
Students' Satisfaction : above 90%

Optimizing Concurrent Classrooms
(In the Classroom And Online Simultaneously)
Trigonometry™ Trigonometry™
Every Saturday
1:00-4:00pm

Korea Standard Time (KST)

★Premium Private/Elite Tutoring★

Currently being available
STARPREP® COURSE CODE : TRIGO-02

★Trigonometry™ 내신성적향상 수업★
ImproveMyGPA™

★GPA BOOST & SIGNATURE LESSON★

Trigonometry™ 내신성적향상 수업

ImproveMyGPA™
Students' Satisfaction : above 90%

Optimizing Concurrent Classrooms
(In the Classroom And Online Simultaneously)
Trigonometry™ Trigonometry™
Every Saturday
4:00-7:00pm

Korea Standard Time (KST)

★Premium Private/Elite Tutoring★

Currently being available
STARPREP® COURSE CODE : TRIGO-03

★Trigonometry™ 내신성적향상 수업★
ImproveMyGPA™

★GPA BOOST & SIGNATURE LESSON★

Trigonometry™ 내신성적향상 수업

ImproveMyGPA™
Students' Satisfaction : above 90%

Optimizing Concurrent Classrooms
(In the Classroom And Online Simultaneously)
Trigonometry™ Trigonometry™
Every Monday & Wednesday
7:00-9:00pm

Korea Standard Time (KST)

★Premium Group/Elite Tutoring★

Currently being unavailable
STARPREP® COURSE CODE : TRIGO-04

★Trigonometry™ 내신성적향상 수업★
ImproveMyGPA™

★GPA BOOST & SIGNATURE LESSON★

Trigonometry™ 내신성적향상 수업

ImproveMyGPA™
Students' Satisfaction : above 90%

Optimizing Concurrent Classrooms
(In the Classroom And Online Simultaneously)
Trigonometry™ Trigonometry™

How to Register

Click the box below and please submit the google response form

01 Touching Trig Technicalities

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

02 Coordinating Your Efforts with Cartesian Coordinates

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

03 Functioning Well

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

04 Getting Your Degree

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

05 Dishing Out the Pi: Radians

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

06 Getting It Right With Triangles

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

07 Doing Right by Trig Functions

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

08 Trading Triangles for Circles: Circular 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

09 Defining Trig Functions Globally

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

10 Applying Yourself to Trig Functions

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

11 Identifying Basic Identities

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

12 Operating On Identities

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

13 Proving Identities: The Basics

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

14 Sleuthing Out Identity Solutions

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

15 Invstigating Ie Trig Funtions

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

16 Making Inverse Trig Work For You

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

17 Solving Trig Equations

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

18 Obeying the Laws

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

19 Graphing sine and Cosine

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

20 Graphing Tangent and Cotangent

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

21 Graphing Other Trig Functions

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

22 Topping Off Trig Graphs

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 Ten Basic Identities ... Plus Some Bonuses

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

24 Ten Not-So-Basic Identities

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

01 Touching Trig Technicalities

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

02 Coordinating Your Efforts with Cartesian Coordinates

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

03 Functioning Well

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

04 Getting Your Degree

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

05 Dishing Out the Pi: Radians

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

06 Getting It Right With Triangles

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

07 Doing Right by Trig Functions

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

08 Trading Triangles for Circles: Circular 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

09 Defining Trig Functions Globally

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

10 Applying Yourself to Trig Functions

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

11 Identifying Basic Identities

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

12 Operating On Identities

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

13 Proving Identities: The Basics

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

14 Sleuthing Out Identity Solutions

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

15 Invstigating Ie Trig Funtions

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

16 Making Inverse Trig Work For You

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

17 Solving Trig Equations

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

18 Obeying the Laws

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

19 Graphing sine and Cosine

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

20 Graphing Tangent and Cotangent

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

21 Graphing Other Trig Functions

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

22 Topping Off Trig Graphs

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 Ten Basic Identities ... Plus Some Bonuses

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

24 Ten Not-So-Basic Identities

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


Reference Lectures

Trigonometry

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Reference Lectures

Trigonometry

What is Trigonometry? Which are the Three Functions in Trigonometry?
What is the Unit Circle? Part 1 What is the Unit Circle? Part 2
What are Radians? Super Hexagon for Trigonometric Identities