Trigonometry Concepts - Don't Memorize! Visualize!

A trigonometry introduction, overview and review including trig functions, cartesian quadrants, angle measurement in degrees and radians, the Unit Circle and the Pythagorean Theorem.

Thanks for your patience!

Timestamps for this video:
00:00 Introduction
00:36 1. The Six Trigonometric Functions
09:35 2. Cartesian Coordinates and Quadrants
11:24 3. Angle Measurement in Degrees and Radians
19:34 4. The Pythagorean Theorem
20:44 5. The Unit Circle

International A level, Intl A Level, IAL, Edexcel, Pearson exam board, CIE, Cambridge exam board, P3, P2, Year 10, Class 11

[ricetown]

This man has confirmed my belief that if you are telling your students to memorize concepts, you do not understand them yourself and should not be teaching them.

[jessar]

Sir, you are a legend and hero in the eyes of every student who watched your video after spending years living in fear of the trig and the unit circle.

[jdoesmath]

I've been teaching mathematics for 32 years. This is simply the best introduction to Trig I've ever seen. I did not hesitate to share this with my Precalculus students. Thank you.

[louvaniste]

NEVER in my life (and I am 75) have the fundamentals of trigonometry be shown to me in such a clear manner.
Thank you so much !
Greetings from Belgium, Patrick WOUTERS.

[thepastarat]

After 3 separate trig classes, this is the first time I've actually intuitively understood how the unit circle works, and haven't needed to memorize things to get through tests and assignments. I wish all math teachers would teach as clearly and concisely as you do.

[TheZectorian]

when teachers say memorize this it is so annoying, because ideally you should memorize very little; everything else should follow naturally from what little you did memorize

[stxrynn]

I took trig my first semester in college. Six years later, I went back to college to finish up. In my Calculus class, they ran a quick quiz the first day. It said I had a 30% chance of passing. A friend came over for supper that night and he drew out this information for me. I posted it above my work desk. It made all the difference! I very nearly got an A that semester in Calc 1. Visualization and memorization can work together to make you a master of this information.

[TheAstriapo]

"I'll never use this in my lifetime, so why do I need it?" Me, in 1986. Fast forward to 2008, used the 3, 4, 5 method to check a wall to see if it was square. I think I saw it on This Old House, lol. Use it all the time now. I use angles every day as a carpenter. I try to keep learning, so in the mornings, I watch how-to videos. I love math. I love the look and design of the math equations and every day I learn something. Thank you for the visuals. That is a huge help.

[coolsywhutatops]

omg, so this is what they mean that math is easy as long as you really understand it. every explanation has explanation holyshit feels good

[ChacingBugs]

I went from having almost zero knowledge of what trigonometry is to having an incredibly intuitive understanding. Thank you.

[nokalamaduna]

Best trigonometry class that I have ever sat in, man, we were never taught like this at all, it's like our teachers never wanted us to understand this concept or maybe they never understood it themselves in the first place so we're doomed. Long live Sir Davis.😊😊

[kaidenlovespicy]

FLASH CARD/CHARTS/FORMULAS TIME STAMPS
5:43 trig functions (SOHCAHTOA)
7:39 trig functions (reciprocals)
11:18 quadrants (Cartesian Plane)
14:49 chart (Radians)
20:13 formula (Pythagorean Theorem)
24:42 3 numbers (Unit Circle)

I saved your trigonometry course and I will try to finish it. Despite some of the math I will study would not be use in my daily life someday. I still would love to be enlighten and enjoy learning with it.

[Zng]

First time — I understand this on a visual matter. Instead of learning formules without knowing what I was learning. I agree with another respons that you should have 1M views for this YT video.

[marioalbertocasanovaguio]

Mr Davis
I’m a medical doctor, which always been interested in mathematics physics calculus and such, my late father was an engineer maybe that is why I’m interested in this.
For what I remember when I was in high school I was never been explained this concepts as you are doing here, now I’m hooked to this Trig series as a high school kid
It’s always fantastic to learn something new, but it’s even better to perfectly understand the concepts the way you explain them
Thanks a lot!!!
Wish we had internet and YouTube when I was a kid

[markbarton]

Dennis, I'm 62 and this was my introduction to trigonometry. I failed algebra 1-2 and never made it to trig or calc. I grew up in a family of engineers. I used your pattern technique to memorize my multiplication tables. Couldn't remember the individual combinations of numbers but I could round things to fives and tens, extremely quickly. Your cheat isn't original but you're the first person I've ever met that taught math that way, Thank you.
I went into the field of horticulture, plants. Landscaping, particularly the Japanese garden, fascinated me. It is a universally loved form of art in my field. Geometry is my native mathematical language in my head, All I see is patterns. Turns out the Japanese Gardens magic is tied up in endless triangles. Once you can visually dissect the design all you can see is the triangles. Somehow they figured out how to landscape in trigonometry. Countless acquaintances have told me I would have loved trigonometry. I would have. Thank you for tying a lifetime of interest together into one handy bow. Mark Barton

[wowodys]

I swear my teachers just show how to solve problems, NOT how to understand them, and understanding is the basis of higher maths.

Thank you so much for this video. It helped alot and is an incredible source of knowledge and understanding.

[dominicestebanrice]

This video is a masterpiece! It deserves to be running on continuous loop in the Metropolitan Museum of Art.

[everThoughtful]

You, Mr Davis, Sir, are an absolute genius! You are able to teach a not-so-easy and intimidating concept to make is as easy reading a road map by using its legends!! I'll gladly pay to join your Trigonometry classes (probably other math classes, too). Thank you, thank and thank you again!!

[buttonmasherbaberkins]

THIS. IS. BEAUTIFUL!!! The applied mathematics approach is the only real way for many of us to learn. These basic foundations really help improve my CMM and GD&T knowledge. I'm SO happy to have found this series and cannot wait to jump into the Statistics course before taking my Six Sigma exam. Thank you so much for taking your time to do this and I hope that your channel grows so that we have more resources like this! You and TheOrganicChemistyTutor are changing the game!

[tascrphs]

Just a stunningly great tutorial. So many kids in 99% of high school literally quit school, because poorly taught math courses like Trig rips their soul. This should have 1 billion views. Your video should be a pre-requisite for ALL middle and high school math teachers, and ALL Freshmen college students. Seriously!!