❖ A Way to remember the Entire Unit Circle for Trigonometry ❖

🎯 Memorize the Entire Unit Circle for Trigonometry with This Easy Trick! 🎯

In this video, I share the best way to remember the unit circle for trigonometry, a skill that's essential for anyone taking trigonometry, precalculus, or calculus.

I start by explaining the formula for the circumference of a circle (C = 2πr) and how we can use it to measure angles around the circle. After filling in all the angles, we’ll need to know the values on the unit circle. Since the radius is 1, geometry helps us deduce these values. But here’s the fun part: I show you a simple trick to quickly label the unit circle so you can easily recall these important values.

🌟 Why is this so important? This method is SO useful if you're studying trigonometry or calculus. Knowing the unit circle and its values can literally save your grade! It’s a tool you'll use constantly, especially in standardized tests and any advanced math courses.

💡 What you’ll learn:

How to quickly and easily fill out the unit circle.
A simple trick to memorize all the important values.
The importance of mastering this for success in math courses like Calculus.
📈 The reason this video has almost 3 million views (even though it’s a bit old) is because this knowledge is critical. Don’t miss out—spend 10 minutes learning this and avoid failing because you didn’t master the unit circle!

👍 Don’t forget to like, subscribe, and hit the notification bell for more math tips and tricks! 🔔✨

Hashtags:
#UnitCircle #Trigonometry #MemorizeUnitCircle #Precalculus #MathTips #Calculus #MathTutorial #TrigonometricFunctions #STEM #MathSkills #UnitCircleTrick #MathHelp #Geometry #LearningMath #StandardizedTestPrep #APCalculus #PrecalculusHelpA way to remember the Entire Unit Circle for Trigonometry. This is the way that I remember the unit circle.

In this video I begin by discussing the circumference for a circle C = 2pi(r).
From this, we can start measuring angles relatively simply around the circle if we are careful. Next after filling in all the angles, we need values on the unit circle. Since the circle has radius one we can can use geometry to deduce the values, but you will want to have these memorized or be able to quickly produce them (which is what I do). I show a quick little trick to remember how to label the unit circle and after that, we pretty much good to go!
The reason this video has almost 3 million views despite it being a bit old and crusty looking, is because THIS IS SO SUPER DUPER USEFUL IF YOU TAKE TRIG OR CALCULUS. I've literally seen people miss multiple letter grades or just plain ole fail a Calculus course because they never took 10 minutes to learn this. Don't be that person!
Knowing common values on the unit circle is extremely important as a slew of question in precalculus, trigonometry, and calculus will use them. You would certainly be expected to know these values on any sort of standardized test.

[patrickjmt]

Hi all! Please post comments, questions and anything else on your mind in the comment section! While I try to answer as many questions as I can, there are more questions than I can answer by myself so if you are someone who might be able to help, please do so! The community is so much better when everyone is involved and helping each other out. Our strength is our willingness to help each other!
Also please feel free to like or dislike the video. Your feedback is always appreciated so that hopefully I can make my future videos the best possible! Thanks and happy studies!

[anonymousamer]

I remember when I used to watch your videos because I failed my Maths during my Foundation year in college and had to re-sit it. Just wanted to say thanks because I'm about to continue my second year in med school this august. Yay Patrick!

[NicolasKeeton]

If he became a math professor, I would switch colleges just to be in his class. I would have a "A+" in his math class.

[dtbjjrb]

Wow. In my 12+ years of learning, none of my teachers taught me what you explained at 0:36 - 0:44. Now I understand why such a circle with pi and random fractions exists :P I hate it when teachers only teach things so that we can use them to do good on a test. I wish all teachers taught so that students knew the REASON/LOGIC behind what they were learning. PatrickJMT, YOU are a phenomenal teacher.

[aldosanchez]

Sir, you have literally just opened my entire world. I've been so stumped in my Trig class on this topic, and I have a test on this tomorrow. I now know the entire unit circle! I will be sure to subscribe/like. Thank you very much for what you do! Keep it up! 
-Aldo

[jventenilla]

where have you been all my life? thank you so much for your time and effort into making math simple!

[Code]

You saved me on a big test when I was a sophomore in highschool! and saving me a lot of trouble in college when reviewing the unit circle once again! THANKS!

[QajsProductions]

I thought this was how it was learned by most? It was really quite easy. In my Algebra class, we had to make a unit circle and fill in all these values, then fill in a table where we give all of the main angles (0, 30, 45, 60, 90, 120, 135, 150, 180, 210, etc...) and write them in radians, and fill in all of the values for cosine, sine, and tangent for all of those angles. We had to do it with 100% accuracy in 5 minutes or less. 

When you need to do this, you find patterns and ways to remember it haha

[pchenester]

my god. you are fucking brilliant. I struggle with math every single day and as becoming a science/ mathematical major, I would like to say thank you! For every calc. trig, mathematical approach, your videos helped me understand almost everything that my prof has been teaching. THANK YOU

[myriam]

I'm 9 years late, but that 1, 2, 3 3, 2, 1 and square the tops just me an A on an exam I would've gotten a F on, thank you so much!!!!

[VietHonour]

I actually get the coordinates just fine. It's the radians I can't ever remember for the life of me. I know there just fractions, but I try to approach it like a regular circle you cut into pieces and I can't make any sense of it.

[PandaMarines]

Thanks you cleared up a lot for me what my teacher couldn't

-Sophmore in highschool

[willbryer]

You have literally saved my life! Thank you so much!

[GameTimewithKirby]

One thing that helps me if I forget the radians is i just add from the first quadrant. So pi/4 to get the opposite side I would add pi to pi/4

[EmySimone]

this is the best Youtube video ever . . . thanks a lot !

[randallhudson]

if you remember that sin(theta) = y and cosine(theta) = x then this method still works; you just have to make sure you remember that relationship. Also tan = sin/cos

[fatima_]

Thanks😀 I have( CALCULUS )exam tomorrow

[TheJumbaJoe]

I wish I could like it multiple times on the same account.

[oaDro]

just remembered the entire unit circle woohoo thx

[Frenlly]

U save my life!!! :o lol thanks for the video it help me A LOT