Best Trigonometry Courses

Find the best online Trigonometry Courses for you. The courses are sorted based on popularity and user ratings. We do not allow paid placements in any of our rankings. We also have a separate page listing only the Free Trigonometry Courses.

A mathematical way to think about biology

Why "is" biology log-normal? Why do some circuits oscillate? See biology from a physical sciences perspective.

Created by David Liao - Physicist (PhD, Princeton 2010)


Students: 25799, Price: Free

Students: 25799, Price:  Free

A mathematical way to think about biology comes to life in this lavishly illustrated video book. After completing these videos, students will be better prepared to collaborate in physical sciences-biology research. These lessons demonstrate a physical sciences perspective: training intuition by deriving equations from graphical illustrations.

"Excellent site for both basic and advanced lessons on applying mathematics to biology."
-Tweeted by the U.S. National Cancer Institute's Office of Physical Sciences Oncology

Become a Trigonometry & Precalculus Master

Learn everything from Trigonometry and Precalculus, then test your knowledge with 470+ practice questions

Created by Krista King - Your geeky, trusty math tutor


Students: 25328, Price: $129.99

Students: 25328, Price:  Paid


This 302-lesson course includes video and text explanations of everything from Trigonometry and Precalculus, and it includes 89 quizzes (with solutions!) and an additional 10 workbooks with extra practice problems, to help you test your understanding along the way. Become an Trigonometry & Precalculus Master is organized into the following sections:

  • Angles and their measure, including degrees, DMS, and radians

  • Angles in circles, including oriented arcs, circular sectors, and linear and angular velocity

  • The six circular functions, which are sine, cosine, tangent, cosecant, secant, and tangent

  • The laws of sine and cosine, including Heron's formula

  • The unit circle, and how to use it to complete a triangle

  • Graphing the trig functions using period and amplitude, horizontal and vertical shifts, and other transformations

  • Trig identities like even-odd, sum-difference, double-angle, half-angle, product-to-sum, and sum-to-product

  • Inverse trig functions and their graphs

  • Polar coordinates and graphing polar curves

  • Parametric curves and how to sketch their graphs

  • Analytic geometry of conic sections like circles, ellipses, parabolas, and hyperbolas

  • Complex numbers, including polar forms and De Moivre's theorem

  • Matrices for solving systems, Gauss-Jordan elimination, transformations and inverse matrices


Videos: Watch over my shoulder as I solve problems for every single math issue you’ll encounter in class. We start from the beginning... I explain the problem setup and why I set it up that way, the steps I take and why I take them, how to work through the yucky, fuzzy middle parts, and how to simplify the answer when you get it.

Notes: The notes section of each lesson is where you find the most important things to remember. It’s like Cliff Notes for books, but for math. Everything you need to know to pass your class and nothing you don’t.

Quizzes: When you think you’ve got a good grasp on a topic within a course, you can test your knowledge by taking one of the quizzes. If you pass, great! If not, you can review the videos and notes again or ask for help in the Q&A section.

Workbooks: Want even more practice? When you've finished the section, you can review everything you've learned by working through the bonus workbook. The workbooks include tons of extra practice problems, so they're a great way to solidify what you just learned in that section.


  • "Krista's courses are the absolute best you can find online, as far as I'm concerned. I feel like I am actually learning something from them!" - Jon K.

  • “The Instructor has an excellent command of the subject material and a great way of presenting it. In addition to that, she has a very pleasant voice that keeps you attentive.” - Robert S.

  • “This is an excellent course to become more familiar with trigonometric equations. The step by step instruction is very is to follow. I found it very helpful to follow along with solving the problems on paper to solidify the learning experience.” - David M.

  • “Krista explains everything in "simplest terms" so even if you haven't worked with this stuff for a while, she makes it totally easy to get back into the swing of it all. Thanks for (another) excellent course!” - Paul L.

  • “Huge help to be able to review these in a platform much more suited to learning than YouTube.” - Wesley F.


  • Lifetime access to Become a Trigonometry & Precalculus Master

  • Friendly support in the Q&A section

  • Udemy Certificate of Completion available for download

  • 30-day money back guarantee

Enroll today!

I can't wait for you to get started on mastering trigonometry and precalculus.

- Krista :)

Ultimate guide to math word problems Intermediate Part One

Learn to tackle word problems in the easiest way possible!

Created by Chanda Academy - Education provider


Students: 12239, Price: Free

Students: 12239, Price:  Free

**May 2016 update: Course completely redesigned with a lot of new questions to further improve your learning**

Welcome to Ultimate guide to maths word problems - Intermediate Part One. This course is tailored towards Grade 9 students who're looking to get a leg up on their ability to tackle the dreaded word problems. If you have significant trouble with problem solving questions, then I suggest you enrol in Ultimate guide to maths word problems - Beginners Part One and Part Two before attempting this course as we'll be building on a lot of the things covered in those two.

This will always be a FREE course. Once you've completed it and would like to test your skills further, then have a go at the Ultimate guide to maths word problems - Intermediate Part Two course.

What are word problems?

We all learn basic concepts like fractions, decimals, algebra etc. at school. We know how to add fractions or simplify algebraic expressions, but what stumps us is having to apply our knowledge to "real life scenarios". These are word problems. I'm sure you've come across these during your schooling. For example, The authors of a book are going to share the royalties in proportion to the number of chapters they have each written. Charlie wrote 4 chapters, Brad wrote 3 and Nigel wrote 5. If they need to share $24,000, how much will they each get? Show full working.

This is a typical ratio-based word problem. Not sure how to do these? Then let me help :)

A lot of students find these types of practical questions quite challenging to answer as they have trouble linking their basic knowledge of ratios in this case to the real life scenario at hand.

How will this course help you?

Every topic that I cover in this course will come up in some form in years to come. I go through every single topic in a step by step form so it's really easy for you to follow along. Not convinced? Then I suggest you check out the previews before you decide to enroll, to make sure my teaching style is easy to follow, I am very confident that it is. To go a step further, Udemy's 30-day money back guarantee should also make you feel at ease.

What will this course have?

As I mentioned, this particular course is geared towards students in Grade 9. I will go through a number of problem solving / word problem questions, split into the different topics listed below. I go through each question in a systematical step by step manner making it super easy to follow along and adopt in your own workings.

What topics will the course cover?

The course will cover most topics that come up in these grades and are prone to have a lot of worded problems attached to them.

Indices, algebra, linear equations, geometry, trigonometry, ratios, finance, measurement, probability and quadratic algebra.

**BONUS** I've also added worksheets (with answers) for each topic to help you further test and implement your learning from the lectures.

**WARNING** I'm going to assume knowledge of how to perform the actual operations involved with these word problems. This course is only to show how to approach the word problems, NOT the operations behind them.

My next course will be Ultimate guide to maths word problems - Intermediate Part Two, where I will work through topics and questions, typically covered at the Grade 10 level i.e. one level harder than this course.

Why did I decide to create two intermediate courses?

If you're wondering this then that was because I saw that the level of difficulty jumps up heaps from Grade 9 to Grade 10 and some new concepts are introduced as well. So instead of piling everything into one course and confuse you, I decided to create two different ones so you could gradually go up in levels :).

Something missing in the course?

If you find I haven't covered a topic that you need at this level, let me know on the discussion board and I'll be happy to add it in :)

I can guarantee that you'll be miles ahead of the competition if you take this course seriously and best part about being able to do it all is that you can teach others as well. When you're willing to spend upwards of $50 an hour for a private tutor, it seems like a no brainer to at least give this a go, so that you have access to your very own private tutor any time you wish.

I'm good with messages and emails so if you have questions, make sure to get in touch with me. And furthermore, I want you guys to make full use of the discussion board because one of the best ways to learn is by sharing your knowledge with others. Thanks guys, really hope you enjoy.

Algebra Trigonometry – Polynomial and Rational Functions

Learn Polynomial and Rational Function and How to Work with Them

Created by Great IT Courses - Mathematics


Students: 10552, Price: Free

Students: 10552, Price:  Free

This course teaches you all the important underlying concepts in Polynomial and Rational functions in mathematics. The knowledge that you gain here can be further completed in our next courses towards a complete mastery of calculus.

This course covers the following topics: 

  • Quadratic Functions
  • Power Functions and Polynomial Functions
  • Graphs of Polynomial Functions
  • Dividing Polynomials
  • Zeros of Polynomial Functions
  • Rational Functions
  • Inverse and Radical Functions
  • Modeling Using Variation

This course has been taken from chapter 5 of the book, "Algebra Trigonometry" from openstax, ISBN-10: 1-947172-10-7. The book can be downloaded free of cost from their website. All chapters of the book have been planned to be produced as a video course by us. This course contains around 175 videos each averaging 15 minutes. Using this course, you'll learn polynomial and rational functions from scratch really well. 

Also, this course can be taken as part of a series that will take you all the way up to mastering calculus. All the courses in the series will be taken from the same book described above and other calculus books from openstax. You can read our "Mathematics" page on "GreatITCourses" website to make yourself more familiar with our road map. A Google search will take you to our website.  

Differentiation Made Easy: Learn to differentiate – Calculus

​Learn to take derivative of functions (trigonometric, exponential, logarithmic & ...) ,Test your knowledge on Quizzes

Created by Alireza Eshghi - Math Instructor


Students: 8405, Price: Free

Students: 8405, Price:  Free

Videos: Every video covers a topic of differentiation. For every topic I solve some examples from simple to hard. I believe that we learn better with more exercises.  

Quizzes: You can test your understanding and knowledge about a topic by taking a quiz ( All of them have complete solutions) . If you pass, congratulation. If not, you can review the videos again or look at the solutions of questions or ask me for help in the Q&A section.

Prep for GRE® Subject Math Exam – Module1:Basics

Solve subject math exam problems accurately and FAST!

Created by Gilad Pagi - GRE Subject Exam in Mathematics instructor


Students: 7798, Price: Free

Students: 7798, Price:  Free

This course is a prep course for the GRE Subject exam in Mathematics. If you wish to apply for a grad program in math, statistics and such, this exam is required.

This is the first module and includes all the pre-calculus material needed in order to excel in the exam. More importantly, the course teaches techniques for solving problems FAST (since in the exam you will have 2.5 min per question - very little time).

We will go over the following topics:

  • Solving problems using graphs.
  • Analytic Geometry.
  • Polynomials
  • Trigonometry
  • Important formulas to memorize
  • Most common derivative, anti-derivatives and Taylor Expansions.

The course is designed to review all that is necessary to get you up to speed and get you solving real exam problems. Knowledge covered in this module is assumed for the rest of the modules.

See the free intro lecture to get more details.

GRE is a registered trademark of Educational Testing Service (ETS) in the United States and other countries. This content is not endorsed or approved by ETS.

Introduction to Trigonometry (Algebra 2 Unit 14)

Learn basic trigonometry and trigonometric skills.

Created by Matthew Gromlich - Math Teacher


Students: 7028, Price: Free

Students: 7028, Price:  Free

This unit is the first in a High School Algebra 2 curriculum. It teaches basic trigonometric concepts so that they can be applied to algebra 2 concepts later on. It can be taken by traditional high school students as well as High School Equivalency (HSE) students who are learning about geometric topics for their equivalency exams (GED, TASC, and/or HiSET).Topics include:

(1) Introduction to Trigonometry

(2) Special Right Triangles in Trigonometry

(3) The Other Three Trig Functions

(4) Solving Trig Problems

(5) Angles of Elevation and Depression

Each section has a related video, a video quiz, and a section quiz. The video quiz is to be taken along with or shortly after watching the video. The section quiz is to be taken after. To supplement the course, you can use any textbook.

This course should take approximately five to ten hours to complete.

Maths – Basic angles, distances and coordinates

The fundamentals of Pythagoras, trigonometry, coordinates and whole circle bearings

Created by Saffron Grant - Civil Engineer


Students: 6558, Price: Free

Students: 6558, Price:  Free

The format of the course is narrated explanations and calculations. Its exactly the way that I've explained these things to hundreds of students and how I would explain them if you were sitting next to me right now!

The course covers the very basic aspects of:

  • Pythagoras
  • Angles (degrees, minutes and seconds)
  • Trigonometry
  • Coordinates
  • Whole circle bearings

The course assumes that you have zero knowledge of these topics so its perfect for you if you are:

  • completely new to the topics
  • need a refresher
  • are struggling with these or related topics

NCERT Solutions for Class 10 Maths Chapter 8 Trigonometry

Step by Step NCERT Solutions for CBSE class 10 Trigonometry

Created by Phani Raju - Teaching math from last 7 years


Students: 5518, Price: Free

Students: 5518, Price:  Free

NCERT Solutions for Class 10 Maths Chapter 8 Trigonometry is a self-paced course is designed to help CBSE Class 10 students to understand concepts and application through videos. You can view these Video lectures as many times as you want to clear the concepts.

Video Solutions has been prepared strictly as per latest syllabus issued by CBSE for the students associated with Class X.

Few of the features of the course:

  • Points to remember
  • Each Solution is explained with basic concepts
  • NCERT solutions for Class 10 maths Chapter 8 Trigonometry Textbook Exercises
  • Notes, Formulas, Definitions, Key points are included in the videos, while explaining each question.
  • Easy to understand and remember

Concepts covered:

  • Introduction to Trigonometry
  • Trigonometric Ratios
  • Trigonometric Ratios of Some Specific Angles
  • Trigonometric Ratios of Complementary Angles
  • Trigonometric Identities
  • Relation between trigonometric Ratios
  • Values of Trigonometric ratios in terms of the value of one of them.

Bonus: Selected RD Sharma Class 10 solutions of Trigonometry

Preparing for Pre-Calculus

Brush up on your skills before Pre-Calculus

Created by Brian McLogan - Current Active High School Math Teacher


Students: 4308, Price: Free

Students: 4308, Price:  Free

Are you ready for Pre-Calculus?  Are you sure you know what you got yourself into?  It doesn't matter if you struggled in Algebra 2 or thought it was a breeze.  Most students struggle with the the same concepts not because they cannot understand the material in pre-calculus but because they lack or forgot those previous skills taught in earlier courses. Repetition is apart of learning and in this course we will be making sure that you see the core topics covered in each section just enough to make it stick.

Master Pre Calculus and Trigonometry

Get prepared for Calculus and fully grasp all things Precalculus and Trigonometry with over 9 hours of lectures

Created by Grant Hall - Credentialed Actuary and Dedicated Math Tutor


Students: 3650, Price: $99.99

Students: 3650, Price:  Paid

All new quiz solution videos plus even more content to help students master all aspects of Precalculus and Trigonometry!


This Pre-Calculus and Trigonometry Course includes over 65 lectures that will introduce students to many topics including trigonometric graphs, vectors. and conics. The students' progress will be measured along the way through practice videos that contain examples following almost every new topic. This course can be broken into a few key categories:

  1. Everything graphing: Students will leave this course being able to graph and transform trig functions, quadratics, and more.

  2. Trigonometry: After this course trigonometry won't seem so frightening anymore. Students will develop an understanding for trig by solving triangles, using trigonometric identities, and becoming comfortable with the unit circle.

  3. Calculus Preparation: Throughout the course students will be preparing for calculus. Working with conics, vectors, and polynomials will all help to make Calculus feel less daunting if that is the next step. 

Here's what students have to say:

This was an excellent course. Each topic is well explained. The intimidation of the subject is non existent with the instruction. Recommend it to anybody interested in Pre Calculus - James, Udemy Student

Freaking awesome instructor! this has taught me a lot. - Zacchary, Udemy Student

Excellent pre-calculus course! - Matt, Udemy Student

Great precalculus course. Lessons were clear and engaging - Bridgette, Udemy Student

great tricks for remembering hard concepts - Babu, Udemy Student

Integration Made Easy (Short Version) – Calculus

Calculus 2 -Learn different techniques of integration, U substitution, Part by Part, Partial fractions and much more...

Created by Alireza Eshghi - Math Instructor


Students: 3415, Price: Free

Students: 3415, Price:  Free

Videos: Every video covers a topic of Integration. For every topic I solve many many  examples from very simple to hard. I believe that we learn better with more and more exercises.

1. Integrations Formulas

2. U Substitution

3. Integration by Parts

4. Integration of Rational Functions by Partial Fractions

5. Integration of Trigonometric Functions

6. Trigonometric Substitutions

& much more...

Pre Calculus, Calculus and Trigonometry

One Single Course to teach Pre Calculus, Calculus and Trigonometry with over 9 Hours of Lectures, Quizzes and Exercises.

Created by Engineering Education Hub by Prateek Porwal - Math and Electrical Engineering Educator at Udemy


Students: 3363, Price: $129.99

Students: 3363, Price:  Paid

Welcome to this course. In this course you will learn Pre Calculus, Calculus and Trigonometry.

Pre Calculus, Calculus and Trigonometry are all important topics of math. "Calculus" is the mathematics of change and because everything in the world is changing, calculus helps us track those changes. It is used in many major fields of modern era like Computer Science, Game Designing, Animation, Mathematical Researches, Statistics & Probability, etc. "Trigonometry" deals with the measurement of sides and angles of triangles and is used many fields including Video Game Designing, Constructions, Flight Engineering, Satellite Navigation System, Oceanography, Astronomy, etc. Knowledge of "Pre Calculus" helps us to understand Calculus better and is good to learn before learning Calculus. 

You will learn the following concepts in this course: 

  • Understand FUNCTIONS, learn to Recognize Functions (including the vertical line test) and cite examples thereof; (Pre Calculus)

  • Understand the Domain and Range of a function and learn to find them for a given function; (Pre Calculus)

  • Understand the Average Rate of Change of a function, learn to find the Average Rate of Change of a function and solve problems based on them; (Pre Calculus)

  • Learn about Even and Odd Functions and cite examples thereof; (Pre Calculus)

  • Learn to determine if a given function is Even, Odd, or neither; (Pre Calculus)

  • Learn about Composition of Functions (composite functions), learn to find the Composition of Two Functions and solve problems based on them; (Pre Calculus)

  • Learn about the Inverse Function, learn to find the Inverse of any given Function; (Pre Calculus)

  • Understand the Absolute and Relative Maxima and Minima of a Function, learn to Find the Absolute and Relative Maxima and Minima of a given function from graphs; (Pre Calculus)

  • Understand TRIGONOMETRY, understand Triangles, the Types of Triangles, and cite examples thereof; (Trigonometry)

  • Learn the Properties of Triangles and solve problems based on them; (Trigonometry)

  • Understand Pythagoras Theorem, and use it to solve right triangles; (Trigonometry)

  • Learn Trigonometric Functions sin, cos, tan and find them for any given right triangle; (Trigonometry)

  • Learn Trigonometric Functions cosec, sec, cot and find them for any given right triangle; (Trigonometry)

  • Learn about the Trigonometric Functions of Standard Angles of Trigonometry (namely 0 degree, 30 degree, 45 degree, 60 degree and 90 degree); (Trigonometry)

  • Understand Complementary angles, Learn to find Find the Complementary Angle of any given angle; (Trigonometry)

  • Master all the Trigonometric Identities namely,Complementary Angle Identities, Pythagorean Identities, Sum and Difference of Angles Formulas, Negative Angle Identities, Sum to Product Formulas, Product to Sum Formulas, and apply these Trigonometric Identities in solving problems; (Trigonometry)

  • Learn to Find the Trigonometric Function values of Non-Standard Angles (like that of 75 degree, 22.5 degree, etc.) using Trigonometric Identities; (Trigonometry)

  • Understand Laws of Sines and Cosines and use them to Find the Unknown Sides and Angles of a given Triangle;

  • Learn about Similar Triangles; (Trigonometry)

  • Understand the Conditions for Similarity of Two Triangles; (Trigonometry)

  • Learn to Prove the Similarity of Given Triangles; (Trigonometry)

  • Learn the Properties of Similar Triangles and solve problems to Find Unknown Sides and Angles of Similar Triangles; (Trigonometry)

  • Understand the concept of LIMIT of a Function, learn to Find the Limit of a function using graphs; (Calculus)

  • Understand One-Sided Limits (left hand and right hand limits, learn to Find One-Sided Limits from graphs and solve problems based on them; (Calculus)

  • Understand the CONTINUITY of a function, learn to Find the Continuity of a given function from graphs and solve problems based on them; (Calculus)

  • Detailed understand of DERIVATIVES(Calculus)

  • Learn about the Standard Derivative Formula (the first principle) and use it for finding the derivatives; (Calculus)

  • Learn the Different Derivative rules such as Derivative of a Constant, Multiplication by Constant, Power Rule, Sum Rule, Difference Rule, Product Rule, Quotient Rule, Reciprocal Rule and the important Chain rule; (Calculus)

  • Learn to Find the Derivatives of functions using the Different Derivative Rules (with lots of examples on the same); (Calculus)

  • Learn to Find Derivatives of Trigonometric Functions (a.k.a Trigonometric Derivatives) (with lots of practice examples); (Calculus)

  • Learn to Find Derivatives of Exponential Functions (a.k.a Exponential Derivatives) (with lots of practice examples); (Calculus)

  • Learn to Find Derivatives of Logarithmic Functions (a.k.a. Logarithmic Derivatives) (with lots of practice examples); (Calculus)

Overall, after completing this course, you will have a very clear understanding of the topics of Pre Calculus, Calculus and Trigonometry covered in this course, with sound ability to solve problems.

Practice set for Maths | Quiz and Riddle series

A fun way of learning and testing various Math Principles

Created by LetsTute Make it Easy - Experts in Mathematics, Science, Accounting & Art and Craft


Students: 3172, Price: Free

Students: 3172, Price:  Free

Mathematics- a subject that studies quantity, structure, space and change. It involves a variety of calculations and requires a huge lot of practice. Many of us finds studying this subject a very boring task?

We thought how can it be made interesting for you?

So we have created this course named 'Fun with Math'. This course contains:

-- a series of Math quiz named 'Some Stupid Math Mistakes' which contains various topics from General Mathematics and a few topics from Algebra and Geometry.

-- a series of Math riddles where one needs to apply their math knowledge and logic to solve them.

Who can take this course?

The course can be taken by:

-- beginners or intermediate level Math students or

-- any parent or teacher who wants to make their teaching methods out of the ordinary. 

What are the benefits of this course?

-- One can test their basic Math knowledge and see the various math applications.

-- One will also learn how to avoid silly math mistakes and thereby avoid loosing math.

-- One will also learn to apply correct logic and smartly solve various math riddles.

Trigonometry – The Unit Circle, Angles, & Right Triangles

Analytical Trig, Verifying Trigonometric Identities, Double Angle Formulas, Inverse Trigonometric Functions & More.

Created by Julio Gonzalez - Math & Science Teacher


Students: 1708, Price: $109.99

Students: 1708, Price:  Paid

This online trigonometry course is for high school and college students who are taking trig and may need help with their homework or simply to pass a test.  Here is a list of topics contained in this video.

1.  Introduction to Angles - Drawing In Standard Position

2.  Converting Angles From Degrees to Radians and Radians to Degrees

3.  Circular Arc Length, Linear Speed and Angular Speed

4.  Coterminal Angles and Reference Angles

5.  The Six Trigonometric Functions and The Unit Circle

6.  Finding Exact Values of Trigonometric Functions - Sine, Cosine, and Tangent

7.  Even and Odd Trigonometric Functions, Reciprocal Identities, and Quotient Identities

8.  Fundamental Pythagorean Identities With Sine and Cosine

9.  Right Triangle Trigonometry - SOHCAHTOA and Pythagorean Theorem

10.  30-60-90 and 45-45-90 Right Triangles

11.  Angle of Elevation and Angle of Depression Word Problems

12.  Trigonometric Functions of Any Angle - Using Reference Angles To Find The Exact Value

13.  Evaluating Trigonometric Functions of Quadrantal Angles

14.  The Signs of Trigonometric Functions In Quadrants 1 to 4

15.  Graphing Sine and Cosine Functions - Identifying The Amplitude, Period, Phase Shift, and Vertical Shift

16.  The Graphs and Secant and Cosecant Functions - Domain and Range

17.  Graphing Tangent and Cotangent Functions - Identifying The Vertical Asymptote

18.  Inverse Trigonometric Functions

19.  Inverse Sine Function From Restricted Sine Graph - One to One Function & Horizontal Line Test

20.  Finding The Exact Value of an Inverse Sine and Cosine Function

21.  Graphing The Inverse Sine, Cosine, and Tangent Function

22.  Domain and Range of Inverse Trig Functions

23.  Evaluating a Composite Trigonometric Expression With Inverse Functions

24.  Applications of Trigonometric Functions - Solving Two Right Triangle Systems

25.  Introduction to Bearings - Word Problems

26.  Verifying Trigonometric Identities - Changing Sines to Cosines and Factoring

27.  Sum and Difference Formulas of Sine, Cosine, and Tangent - Alpha and Beta Angles

28.  Finding Exact Values With Sum and Difference Formulas 

29.  Verifying Trig Identities With Sum and Difference Formulas

30.  Using Double Angle Formulas For Sine, Cosine, and Tangent To Find Exact Values

31.  Simplifying Trigonometric Expressions With Power Reducing Formulas

32.  Half Angle Formulas and Identities

33.  Verifying Trigonometric Identities With Double Angle Formulas

34.  Inverse Trigonometric Functions With Double Angle Formulas and Half Angle Identities

Beginner to Expert in trigonometry part-1

Learn to solve competition level questions. Also learn tricks and tactics used in trigonometry to solve questions.

Created by Pankaj gupta - Passionate about maths


Students: 1658, Price: Free

Students: 1658, Price:  Free

You will learn following

  1. Importance of right angled triangle

  2. Angles and their relations

  3. Quadrants and angles in various quadrants

  4. Introduction of various trigonometric ratios

  5. Finding values of trigonometric ratios with basic angles

  6. Finding values of trigonometric ratios of angles in other quadrants

  7. proving three basic identities

  8. Questions solving tricks of three basic identities

    This will help you in solving calculus problems. This will help you to apply basic identities in trigonometry.

Algebra 2 & Trigonometry: A Complete High School Curriculum

Includes videos and over 300 pages of quizzes/worksheets (answer keys provided!)

Created by Matthew Gromlich - Math Teacher


Students: 1527, Price: $29.99

Students: 1527, Price:  Paid

This course is an intricately-designed, complete Algebra 2 curriculum.  It incorporates all aspects of a traditional Algebra 2 course and also includes two units on basic trigonometry.  

The units, in order, are:

  1. Introduction to Matrices
  2. Transformations of Matrices
  3. Determinants and Inverse Matrices 
  4. Absolute Value and Inequalities
  5. Introduction to Functions
  6. Linear Functions
  7. Systems of Equations and Inequalities
  8. Polynomials
  9. Dividing and Factoring Polynomials
  10. Radical Expressions
  11. Quadratic Functions
  12. Special Functions
  13. Logarithms
  14. Polynomial Functions
  15. Trigonometric Functions
  16. The Unit Circle and Angle Measures
  17. Combinatorics

These 17 units incorporate all the topics of Algebra 2.

While this course was designed to cater to high school Algebra 2 students, adult education learners who are studying for High School Equivalency exams can also benefit from the information provided in this course.

Similarly, teachers who would like supplemental material for their Algebra 2 classroom should take this course.  If you are a teacher, feel free to download and use these PDFs in your own classrooms.

Algebra Trigonometry Prerequisites

Build a Strong Foundation of Mathematics to Start a Successful Career in Mathematics, Engineering or Science.

Created by Great IT Courses - Mathematics


Students: 1257, Price: $29.99

Students: 1257, Price:  Paid

This course is the first stepping stone in a series of 29 courses that will take your on a successful and exciting journey of Mathematics all the way up to Calculus. Nonetheless, the course can be taken individually as well. The textbook used in this course is "Algebra and Trigonometry" from the OpenStax College. This course covers the first chapter of the book. 

This course covers the following topics: 

  • Real Numbers
  • Exponents and Scientific Notation
  • Radicals
  • Polynomials
  • Rational Expressions

You can subscribe to the first course in this series free of cost as a welcome gift from us. Enjoy learning mathematics with us! 

To give an idea of where this series is going to take you, please read on. 

The next 28 courses in this series are as follows (all based on the original current organization of OpenStax College's mathematics textbooks): 

  1. Equations and Inequalities
  2. Functions
  3. Linear Functions
  4. Polynomial and Rational Functions
  5. Exponential and Logarithmic Functions
  6. The Unit Circle: sine and Cosine Functions
  7. Trigonometric Identities and Equations
  8. Further Application of Trigonometry
  9. Systems of Equations and Equalities
  10. Analytic Geometry
  11. Sequences, Probability and Counting Theory (end of Trigonometry and Algebra Book) 
  12. Functions and Graphs (Beginning of Calculus Volume 1) 
  13. Limits
  14. Derivatives
  15. Application of Derivatives
  16. Integration 
  17. Applications of Integration (End of Calculus Volume 1)
  18. Techniques of Integration (Calculus Volume 2) 
  19. Introduction to Differential Equations
  20. Sequences and Series
  21. Power Series
  22. Parametric Equations and Polar Coordinates
  23. Vectors in Space (Calculus Volume 3) 
  24. Vector-Valued Functions
  25. Differentiation of Functions of Several Variables
  26. Multiple Integration
  27. Vector Calculus
  28. Second-Order Differential Equations


Learn Basics of Trigonometry and All about TRIGONOMETRIC Ratios with Approach to HEIGHT & DISTANCE Questions.

Created by CREATA CLASSES - CREATA CLASSES...... Adding Creativity to Learning


Students: 1174, Price: Free

Students: 1174, Price:  Free


This course EXPLAINS fundamentals of TRIGONOMETRY with help of Animation and other Visual Tools. The course is designed in scientific and CREATIVE way so that students can grasp the fundamental of Trigonometry.

Animation and other Visual tools are used, so that students can learn in Creative way, in totally different environment.

This course is for School Students and students preparing for competitive exams. This course will build your foundation very strong, as it also contains practical examples of Trigonometry in actual Life.

This course is also for Teachers, who want to teach their students in totally different and creative way.

After completing this course, you will be able to understand what actually a Trigonometry is and what is its practical significance. You will develop a strong and unbreakable foundation of Trigonometry that will help you in further progressing in Trigonometry.


- Better Understanding & Clarity through Animation & Visual Tools.

- Techniques to Approach Questions & fundamentals

- Experience of Industrial Professionals

- Question series with Assignments



Basics Before Start of Trigonometry


Introduction to Trigonometric Ratios (Sin/ Cos/ Tan)

Trigonometric Ratio of 45 Degree

Trigonometric Ratio of 30 & 60 Degree

Trigonometric Ratio of 0 & 90 Degree

Trigonometric Ratio Table & Related Observations

Trigonometric Function


Summary & How to Approach Questions.

Questions on Trigonometric Ratio’s.

Questions on Height & Distance.


Ultimate guide to Trigonometry

An A-Z guide to everything Trigonometry!

Created by Chanda Academy - Education provider


Students: 1153, Price: $19.99

Students: 1153, Price:  Paid

**June 2016 update** Course has been fully redesigned from scratch and a ton of new content has been added. Hope you enjoy!

Welcome to Ultimate guide to Trigonometry. This course will have all the different topics covered between Grade 7 and 10, therefore will be a comprehensive A-Z guide. The topics are in a sequential order, gradually going up in difficulty, so you can work your way through them at your own pace depending on what you're doing at school.

What will this course have and who will benefit?

This course is going to cover all the concepts that will be covered in school from basic trigonometry topics such as Pythagoras' Theorem through to more advanced topics such as Angles of Elevation and Depression. During my time as a tutor, I've seen students really struggle to grasp the different elements of this topic, so this course can serve as a permanent reference point for you guys going forward.

If you're high school at the moment and have started doing trigonometry, then this course will be a big help because it can either complement your studies at school or serve as the official guide. I will step you through every topic systematically and run through a number of questions to really help you cement your learning.

A lot of my students are actually parents who are home schooling their kids, so if you're someone looking to brush up on your knowledge to help your kids at home, I know this course along with all my other courses will be a big help.

I go through every single topic in a step by step form so it's really easy for you to follow along. Not convinced? Then I suggest you check out the previews before you decide to enroll, to make sure my teaching style is easy to follow, I am very confident that it is. To go a step further, Udemy's 30-day money back guarantee should also make you feel at ease.

What topics will the course cover?

I'll cover the following topics in the course:

Pythagoras' Theorem:

  1. Right-angled triangles
  2. Finding the hypotenuse
  3. Finding the other sides
  4. Composite shapes
  5. Pythagorean triples
  6. Pythagoras' Theorem in 3-Dimensions


  1. Introducing SOH, CAH and TOA
  2. Calculating unknown side lengths
  3. Calculating unknown angles
  4. Angles of elevation and depression
  5. Bearings and compass directions
  6. Word problems

Non right-angled triangles:

  1. Sine rule
  2. Cosine rule
  3. Heron's Formula
  4. Word problems

Why Trigonometry?

Trigonometry is a huge part of maths at school and it's a shame that a lot of the fundamentals are just not taught properly by teachers and then students are expected to do quite advanced operations in higher grades. That's why I created this course for you guys so you always have a reference point and furthermore always have access to me when you need help :)

**BONUS** I've also added worksheets (with answers) for each chapter to help you further test and implement your learning from the lectures.

I'm working on a number of courses like this, which cover a variety of maths topics. I'll keep you guys updated as I release them :)

Something missing in the course?

If you find I haven't covered a topic that you need at this level, let me know on the discussion board and I'll be happy to add it in :)

I can guarantee that you'll be miles ahead of the competition if you take this course seriously and best part about being able to do it all is that you can teach others as well. When you're willing to spend upwards of $50 an hour for a private tutor, it seems like a no brainer to at least give this a go, so that you have access to your very own private tutor any time you wish.

I'm good with messages and emails so if you have questions, make sure to get in touch with me. And furthermore, I want you guys to make full use of the discussion board because one of the best ways to learn is by sharing your knowledge with others. Thanks guys, really hope you enjoy.

Master yourself in Trigonometry applications

Learn to estimate real life measurement challenges with simple techniques of trigonometry

Created by Deepali Darne - Mathematics specialist


Students: 953, Price: $19.99

Students: 953, Price:  Paid

Although Historically Trigonometry was initially used in astronomy for calculating the positions of planets and stars, but it is now used in real world scenarios like constructing house, automotive designs, roads, various infrastructure developments. However, many of us not aware of this fact that in our daily life, we can apply trigonometry applications to quickly measure big distances, height, width, depth etc which are not easily possible using standard measuring devices. Further to this, I also experienced that theory is easy to learn but when it comes to word problems, students struggle a lot.

Keeping this in mind, I have designed this course based on simple yet proven powerful techniques of Trigonometry applications. This is a great opportunity for you to master applications of Trigonometry and excel in academics as well to solve real world problems. This course includes video presentations talking about 20 unique examples that address all aspect of the subject on board with step by step approach. 

Course is organised in three parts:

  1. Basic Trigonometry concepts 
    • supported by walk you through 8 examples. 
  2. Intermediate level challenges
    • supported by walk you through 6 examples
  3. Advance level
    • Focuse on complex challenges 
    • and resolutions techniques with 6 examples.

By the end of this course you will have the knowledge and confidence to go out and highly motivated. If you are high school student and first ever learning Trigonometry, this course will overcome your fear and hesitation about being new challenges by releasing habitual negative thoughts. After going through all problem solutions narrated in course, you feel confident every time appearing for your grade exams.

Enroll now and join me in the unique way of learning trigonometry and it's applications.

Basics of Trigonometry and its Applications- Math | Geometry

A beginners guide for Trigonometry

Created by LetsTute Make it Easy - Experts in Mathematics, Science, Accounting & Art and Craft


Students: 941, Price: $19.99

Students: 941, Price:  Paid

Use Coupon Code: SALE80

Trigonometry is the branch of mathematics which deals with the study of lengths of sides and angles of a triangle.

So we have designed this best selling course which will give a broad idea on various trigonometric ratios and it's calculations.This course is designed in a very easy to understand and logical format. 

This is a complete course containing several video lectures for concept explanation, Quiz videos to test our knowledge and assessment tools to test our understanding by solving some problems

-What you will learn? 

By the end of our short yet detailed sessions, you will have an understanding of: 

1) Introduction and Trigonometric ratio

2) Trigonometry ratios of complementary angles

3) Trick to remember Trigonometric values

4) Trigonometric ratio - value table (derivation)   

5) Trigonometric Identities

6) Application of Trigonometry  

7) Trigonometry Problem solving   

8) How to use clinometer - Activity   

9) How to make a clinometer - Activity   

10) Sample Question – 1   

11) Sample Question – 2   

12) Amazing trick to understand Trigonometry formulae   

13) Quiz video to test the knowledge

-Who can take this course?

It can be taken by all students who have trigonometry as a part of their curriculum. 

It will also benefit teachers who wishes to improve their teaching skills and make learning fun for their students.

-Benefits of taking this Course:

At the end of the course you will not only be thorough with the subject knowledge but will also be able to solve various problems related to the topic and ultimately score well with the help of:

Explanatory videos ensures complete concept understanding.

Downloadable resources helps in applying your knowledge to solve various problems.

Quiz video helps in testing your knowledge.

In short it is an interesting course fulfilling all the student's needs.

So hurry up and enroll now!!

SAT and ACT Math – Basic Geometry concepts

Helpful for the SAT & the ACT exams

Created by Pooja JP - Math Tutor


Students: 929, Price: Free

Students: 929, Price:  Free


I'm Pooja. I'm a Software Engineer and a Math tutor.

I have created this course to provide helpful content or students preparing for competitive exams - SAT and ACT

You will find key concepts around which most of the geometry questions are asked in these exams.

Join the course and learn all the basics you need to know.

See you there :-)

Algebra and Trigonometry: Linear Functions

Understanding Linear Functions and the Different Mathematical Operations Related to Them

Created by Great IT Courses - Mathematics


Students: 847, Price: $89.99

Students: 847, Price:  Paid

This course teaches you all the important underlying concepts in Linear functions in mathematics. The knowledge that you gain here can be further completed in our next courses towards a complete mastery of calculus.

This course covers the following topics: 

  • Linear Functions
  • Modeling with Linear Functions
  • Fitting Linear Functions to Data (Statistics) 

As described above, this course can also be taken in combination with our other courses in this course series. If you're interested in learning mathematics with us all the way up to calculus, please read our "Mathematics" page on "Greatitcourses" website (a Google search will get you there). 

Algebra and Trigonometry: Functions

Learn the Important Underlying Concept of Functions in Mathematics

Created by Great IT Courses - Mathematics


Students: 801, Price: $89.99

Students: 801, Price:  Paid

This course teaches you all the important underlying concepts in functions in Mathematics. The knowledge that you gain here can be further completed in our next courses towards a complete mastery of calculus. 

This course covers the following topics: 

  • Function and Function Notation
  • Domain and Range of Functions
  • Rates of Change and Behavior of Graphs
  • Composition of Functions
  • Transformation of Functions
  • Absolute Value Functions
  • Inverse Functions

As described above, this course can also be taken in combination with our other courses in this course series. If you're interested in learning mathematics with us all the way up to calculus, please read our "Mathematics" page on "Greatitcourses" website. 

Learn Python NumPy for Machine Learning

Why Learn NumPy for Machine Learning?

Created by Saima Aziz - Instructor


Students: 745, Price: Free

Students: 745, Price:  Free

Welcome to Learn NumPy for Machine Learning course. My name is Saima Aziz and I will be the instructor for this course.

In this course we will learn how to create Numpy arrays, learn some built-in functions, access values, broadcasting and manipulating arrays etc.

Python is a general purpose and high level programming language. You can use Python for developing desktop GUI applications, websites and web applications. We will learn Numpy from scratch, which is one of the most popular Python programming language library.

Numpy stands for ‘Numerical Python’. It is an open-source Python library used to perform various mathematical and scientific tasks. It contains multi-dimensional arrays and matrices, along with many high-level mathematical functions that operate on these arrays and matrices. Moreover, NumPy forms the foundation of Machine Learning.

NumPy helps to calculate large quantities and common descriptive statistics. It is very useful for handling linear algebra, fourier transforms, and random numbers. It's high speed coupled with easy to use functions make it a favorite among Data Science and Machine Learning practitioners. Many of its functions are very useful for performing any mathematical or scientific calculation.

I encourage you to take the course from beginning to end to get the full learning experience. Some topics may be very easy for you and others will be challenging, but each topic should offer something of value.

Hope you will enjoy the course!

Analytic Trigonometry – Your Complete Guide

From simplifying to verifying to solving to the Law of Sines and Cosines you will learn all step by step

Created by Brian McLogan - Current Active High School Math Teacher


Students: 722, Price: $29.99

Students: 722, Price:  Paid

Learning about analytic trigonometry can be tough.  Once you feel you mastered one type of problem you get stumped on the next.  This course is structured to not leave you behind in the dust.  I start off each section with basic definitions and processes you will need to know moving through the course.  I then present two types of videos to you for each skill.  First is the overview video where I explain the concept as a whole like a typical lecture in a classroom.  I then work through multiple examples showing you step by step how to complete different types of problems.  We both know watching someone do math is not the best way to learn.  You have to practice! Each section you are provided with multiple worksheets to practice your skills as well as the answer to check your answers.  Revert back to videos if you get stuck and forget how to solve the problems.  Once you feel you have a good grasp of your understanding it is time to take your quiz. There are multiple quizzes provided for each section. Take the quizzes as many times as you need to earn 100%.  There is no pressure you are hear to learn. By taking this course you will not only gain a better understanding of analytic trigonometry but you will gain confidence to solve more problems on your own. That is why I created this course. I want students to no longer fear learning math or walking into their math class because they just don't understand.  Everyone can learn math.  Some it just takes a little longer, some just need a little boast and some need a course like I designed to guide them through the material. Heck once you complete this course, show your teacher! You deserve and A.  I am here for you and by joining this course you are now one of my students just as important to me as the 140 students I teach in the classroom during the school year. So please keep in touch, let me know how I am doing and if there is anything extra I can provide to assist you with your learning of analytic trigonometry.


Trigonometry 1: The Complete Foundational Masterguide

Master the art of Trigonometry & develop strong foundation practicing with a plethora of solved examples

Created by Anita Gandhi - Instructor at Udemy


Students: 712, Price: $19.99

Students: 712, Price:  Paid

Do you prefer learning mathematics with a lot solved examples and practice questions rather than direct presentation of facts?

Are you looking for a comprehensive trigonometry course that could help you master the theoretical concepts and take your problem-solving skills to the next level?

Are you interested in building strong foundation in trigonometry that can be of great avail to you in advanced topics like calculus?

If you answer yes to any of the questions above then you are probably wandering in the right place. This course is a complete foundational guide on trigonometry. It is designed to help you absorb the concepts in an engaging 'problem-based-learning' approach, which is perhaps one of the most scientifically adept approaches to help you retain concepts over a longer time.

Needless to emphasize further more, it has been rightly said by Aristotle “for the things we have to learn before we can do them, we learn by doing them”.

The course encompasses all the essential theory with in-depth explanations, bundled with mathematical proofs/an ample of solved practice questions/quizzes/ assignments. It would help by get a good taste of 'learning by doing yourself' making it less boring and more active, fun, memorable. An enthusiastic student is bound to master the art of trigonometry and develop strong foundation upon successful course completion.

I wish you all the best for successful learning journey ahead. Looking forward to meet you soon :)

IB maths AA Complex Number (HL)

Complete course on the topic of Complex Number designed for IB Math AA HL by an IB examiner

Created by Kidd Cheung - Math, teaching and exam enthusiast


Students: 700, Price: Free

Students: 700, Price:  Free

A free course on the topic of Complex Number, designed according to the latest syllabus of IB Math AA HL, under topic 1: Algebra

Designed to the need of an HL student. It also included exam question demonstrations to show IB exam skills.

This course is meant to be quick but covers all the essentials of the topic Complex Number. 

Also check out my YouTube channel KIDD WSTWTY Math Channel and my Patreon Membership @ KiddCheung

College Algebra & Trigonometry Explained

Master College Level Algebra with our Step by Step Video Tutorials. Over 3500 Practice Questions! Ace your Algebra Exam!

Created by John Greene, M.A. - Math Tutor


Students: 540, Price: $49.99

Students: 540, Price:  Paid

Become a Master of College Algebra & Trigonometry and Ace your next Algebra Exam! In this course, you will master all concepts of Algebra and Trigonometry, from beginner to advanced, with our step-by-step video tutorials and test your knowledge with over 3500 Practice Test Questions. The concepts you will learn are fundamental to success in higher math classes such as Calculus and Linear Algebra. The topics of the course include:

  • Review of Real Numbers

  • Operations with Polynomials

  • Factoring Polynomials

  • Rational Expressions

  • Rational Exponents

  • Radical Expressions

  • Solving Linear Equations/Inequalities

  • Solving Word Problems with Linear Equations

  • Complex Numbers

  • Solving Quadratic Equations (Factoring, Completing the Square, Quadratic Formula)

  • Solving Word Problems with Quadratic Equations

  • Solving Quadratic/Rational Inequalities

  • Solving Radical Equations/Inequalities

  • Solving Advanced Absolute Value Equations/Inequalities

  • The Coordinate Plane

  • Graphing Circles

  • Distance and Midpoint Formulas

  • Relations and Functions

  • Domain and Range

  • Vertical Line Test

  • Increasing, Decreasing, Constant Intervals

  • Graphing Linear Functions

  • Slope

  • Forms of a Line

  • Graphs of Basic Equations (Parent Functions)

  • Graphing Transformations

  • Function Operations

  • The Difference Quotient

  • Composition of Functions

  • Solving Linear Systems in Two/Three Variables

  • Solving Systems of Linear Inequalities in Two Variables

  • Solving Word Problems with Linear Systems

  • Curve Fitting, Finding the Equation of a Parabola Given Three Points

  • Partial Fraction Decomposition

  • Solving Linear Systems using Gaussian Elimination and Gauss-Jordan Elimination

  • Matrix Algebra (Adding Matrices, Multiplying Matrices, Solving Matrix Equations)

  • Finding the Inverse of a Matrix

  • Solving Linear Systems using the Inverse of a Matrix

  • Finding the Determinant of a Matrix

  • Finding the Inverse of a Matrix Using Cofactors

  • Solving Linear Systems using Cramer's Rule

  • Applications of determinants: Area of a Triangle, test for collinearity, equation of a line

  • Determine if functions are one-to-one using the Horizontal line test/algebraic methods

  • Finding the Inverse of a One-to-One Function

  • Finding the Inverse of a Domain Restricted Function

  • Graphing the Inverse of a Function

  • Graphing Exponential Functions

  • Solving Exponential Equations with Like Bases

  • Solving Compound Interest Word Problems

  • Solving Continuous Compound Interest Word Problems

  • Graphing Logarithmic Functions

  • Properties of Logarithms

  • Expanding Logarithms

  • Condensing Logarithms

  • Change of Base Rule for Logarithms

  • Solving Exponential and Logarithmic Equations

  • Finding the Vertex Form of a Parabola

  • How to Graph a Parabola

  • The Remainder Theorem

  • Using the Remainder Theorem to test for Zeros of a Polynomial Function

  • The Factor Theorem

  • Using the Factor Theorem to factor a polynomial function given one zero

  • Using the Rational Zeros Theorem to find all possible rational zeros

  • The Fundamental Theorem of Algebra and the Number of Zeros Theorem

  • Writing Polynomial Functions Given Zeros and a Point

  • Conjugate Zeros Theorem

  • Descartes' Rule of Signs

  • Intermediate Value Theorem

  • Boundedness Theorem

  • Find the upper and lower bounds for zeros of a polynomial function

  • Solving nonlinear systems of equations

  • Conic Sections: Parabolas - Focus and Directrix

  • Conic Sections: Ellipses - Finding the Foci and Graphing

  • Arithmetic Sequences

  • Arithmetic Series

  • Geometric Sequences

  • Geometric Series

  • Sets, Subsets, Venn Diagrams

  • Union of Two or More Sets

  • Intersection of Two or More Sets

  • The Binomial Theorem

  • Counting Theory

  • Combinations

  • Permutations

  • Probability

  • Angles in Trigonometry

  • Complementary and Supplementary Angles

  • Working with Degrees, Minutes, and Seconds

  • Converting between Decimal Degrees and Degrees, Minutes, and Seconds

  • Determine if two angles are coterminal angles

  • Finding angle measures for similar triangles

  • Finding side lengths for similar triangles

  • Finding the Trigonometric Function Values of an Angle

  • Finding the Trigonometric function Values of an Angle Given a Point on the Terminal Side

  • Finding Trigonometric Function Values Given One Value and the Quadrant

  • Finding Trigonometric Function Values Based on Pythagorean Identities

  • Finding Trigonometric Function Values Based on Quotient Identities

  • Finding Trigonometric Function Values of Acute Angles

  • Writing Trigonometric Functions in Terms of its Cofunction

  • Solving Trigonometric Equations Using Cofunction Identities

  • Reference Angles

  • Finding Trigonometric Function Values of Non-Acute Angles

  • Finding Angle Measures with Special Angles

  • Finding Trigonometric Function Values Using a Calculator

  • Finding Missing Angle Measures Using Inverse Trigonometric Functions: arcsin, arccos, arctan

  • Solving Right Triangles

  • Solving Word Problems with angles of elevation

  • Solving Word Problems with angles of depression

  • Radian Measure

  • Converting Between Radians and Degrees

  • Finding the Arc Length on a Circle

  • Finding the Area of a Sector of a Circle

  • Defining the Six Trigonometric Functions Using the Unit Circle

  • Solving Trigonometry Word Problems that Involve Linear and Angular Speed

  • Graphing Sine and Cosine

  • Graphing Function Transformations of Sine and Cosine

  • Finding the Amplitude, Period and Phase Shift for Trigonometric Functions

  • Using the Fundamental Identities to find missing Trigonometric Ratios

  • Using the Fundamental Identities to rewrite Trigonometric Expressions

  • Verifying Trigonometric Identities

  • Sum and Difference Identities for Sine, Cosine, and Tangent

  • Finding sin(A + B), cos(A + B), and tan(A + B)

  • Finding sin(A - B), cos(A - B), and tan(A - B)

  • Finding Trigonometric Function values using Double-Angle Identities

  • Working with Product-to-Sum and Sum-to-Product Identities

  • Working with Half-Angle Identities

  • Evaluating Inverse Trigonometric Functions

  • Graphing Inverse Trigonometric Functions

  • Finding the Composition of Inverse Trigonometric Functions

  • Solving Trigonometric Equations Using Linear Methods

  • Solving Trigonometric Equations by Factoring

  • Solving Trigonometric Equations by Squaring/Square Roots

  • Solving Trigonometric Equations Using Identities

  • Solving Trigonometric Equations Using the Quadratic Formula

  • Solving Trigonometric Equations with Half-Angles

  • Solving Trigonometric Equations with Multiple Angles

  • Solving Trigonometric Equations Involving Inverse Trigonometric Functions

  • The Law of Sines (ASA)

  • The Law of Sines (SAA)

  • The Area of a Triangle using Sine (SAS)

  • The Law of Sines Ambiguous case (SSA)

  • The Law of Cosines (SAS), (SSS)

  • The Area of a Triangle using Heron's Formula

  • Finding the Component Form of a Vector

  • Finding the Magnitude of a Vector

  • Finding the Direction Angle of a Vector

  • Finding the Sum (resultant) of Two Vectors

  • Multiplying a Vector by a Scalar

  • How to Find the Unit Vector

  • How to Write a Linear Combination of Unit Vectors

  • How to Find the Dot Product

  • How to Find the Angle Between Two Vectors

  • How to Determine if Two Vectors are Orthogonal

  • How to Add Two Complex Numbers Graphically

  • Find the Trigonometric (Polar) Form of a Complex Number

  • Convert a Complex Number between the Rectangular Form and Polar Form

  • Multiplying Complex Numbers in Polar Form

  • Dividing Complex Numbers in Polar Form

  • Product and Quotient Theorems

  • De Moivre's Theorem

  • Powers of Complex Numbers in Polar Form

  • Roots of Complex Numbers in Polar Form

  • Solving Equations Using Roots of Complex Numbers

  • The Polar Coordinate System

  • Plotting Polar Coordinates on the Polar Grid

  • Converting Between Polar Coordinates and Rectangular Coordinates

  • Writing Polar Coordinates in Multiple Forms

  • Finding the Distance Between Two Polar Points

  • Converting Linear Equations Between Rectangular and Polar Forms

  • Graphing Lines on the Polar Coordinate Plane

  • Converting Circles from Polar to Rectangular Form

  • Graphing Circles on the Polar Grid

  • Finding the Inclination of a Line

  • Finding the Angle Between Two Lines

  • Finding the Shortest Distance Between a Point and a Line