I actually started to cry when you explained the connection of c=(2)(pi)(r). It finally makes sense. And you explained everything else so smooth amd concisely. Great video for review!Also, music is awesome. Ignore the haters.
@lianalidden-verney
2 жыл бұрын
Agree! this was such a fantastic video, thank you.
@THE_ONLY_GOD
2 жыл бұрын
I had always thought of it as radius. Now I get that radians are a unit that is basically radius bent to fit a Unit Circle with a radius of 1. Used to hate that unit, but now that thing is gone and was replaced by radius. No such thing as radians basically.
@annametcalf9627
2 жыл бұрын
I know its been said a bunch of times here but no one ever explains Pi and now it makes so much more sense! This was a really well done video. The demonstrations were so clear since the numbers would update as you moved the lines. Thats a step up from most videos i've seen and I really appreciated it :)
@aborne
2 жыл бұрын
Hey thank you so much for those kind words! Be well.
@Frostbite_Unturned
2 жыл бұрын
It is 12:21 AM, I have a trig test tomorrow, and this man just explained in one video what my teacher couldn't in 2 weeks. Thankyou so much.
@aborne
2 жыл бұрын
You're VERY welcome Tyler. Obviously doing well on your tests is important to you- and that attitude is good. Best wishes, -Andrew
@Mac-xc7pt
6 жыл бұрын
My brain exploded with the top half being a full pi. Thank you so much!
@hamster8706
3 жыл бұрын
Well its because a circle perimeter is π×d, where d=diameter, or 2 radiuses. That means that half of a circle is π×r. One arc in this video is of length r. To get how many arcs fit to half of the perimeter of the circle we get this equation: πr÷r. The r cancels out and we get π. Thats why.
@aborne
3 жыл бұрын
You're welcome.
@hamster8706
3 жыл бұрын
@@aborne Well i thought that this was kind of obvious if you know the basic definition of pi
@aborne
3 жыл бұрын
@@hamster8706 Indeed- I think everyone has their own level of knowing what is obvious. 🙂
@hamster8706
3 жыл бұрын
@@aborne Well ok, i guess my "obvious" is pretty high level.
@joelgalan1022
3 жыл бұрын
Why don’t all teachers tell you about pi visually like this?!?
@sal338
11 ай бұрын
Because they don’t know what’s pi themselves 😂
@sophia7715
2 жыл бұрын
this is a video from 8 years ago-exactly 8 years ago, to the day-and it helped me understand trigonometry of angles in rotation more than anything my teacher has taught me. i have a test tomorrow and this video just saved me from hours of confusion and a much lower grade than i would like. thank you for making this so easy to understand.
@johnnybee1776
4 жыл бұрын
When I was in High School I could never understand this no matter what teacher taught it. Now years later I understand why pi is equal to 3.141.Visually seeing it opened my eyes.3 . How simple you made. Thank You immensely.
@KariganYork
3 жыл бұрын
Thank you so much! Online schooling has basically left me to teach myself trigonometry, but I missed a few lessons before I started online. This helped me so much!
@thehamsterarmy2380
3 жыл бұрын
2:04 I seriously started yelling WOAH! WOAH! because I was so confused and then my mind was bloooown
@paulcupido1687
8 жыл бұрын
Just had to login and leave a comment because this was a great video. Everything in calculus just clicked because of you. Thank you!
@chadley
7 жыл бұрын
I've watched over 4 videos before this but this one's the easiest to understand. Thanks!
@aborne
7 жыл бұрын
Chadley- thank you for your comment. When the student is ready, the right video will appear, right? :-)
@Catherine-classical
Ай бұрын
I don’t know how to thank you for this! It all makes so much sense!!! I can finally understand the unit circle instead of having to memorize it!
@kirafortherescue7756
5 жыл бұрын
That was the greatest video I've ever seen on trig...
@CosmosCat
Жыл бұрын
In two minutes. TWO. MINUTES. You’ve taught me what my precal and trig professor has failed to do in about a month. Thank you so much.
@AvivMakesRobots
4 жыл бұрын
No one, at least in my studies, has ever explained it in this way. Thank you! makes sense.
@Bxbyjyyy
7 ай бұрын
FINALLY! WHY DONT WE SEE THIS IN SCHOOL! THIS SHOULD BE COMPULSARY OMG NO WAY ITS THIS SIMPLE! LOVE YOU SIR
@aborne
7 ай бұрын
Thanks! We do show this is school. Depends on the school, the teacher, if the student is present that day…etc. 😅
@LepeczynLCN
2 жыл бұрын
Finally someone who doesn't skip steps and explains everything fully. Thank you!
@aborne
2 жыл бұрын
You’re welcome. Your kind comment made my day!
@kennithlambert2563
Жыл бұрын
Definitely helpful. There's a lot to the unit circle. I've been studying and drawing the unit circle for many years being a retired electrician. It's a great tool for conduit bending and basic multiplications . Learning the angle/length ratios , 3,6,9 multiples and the 30 -60-90 triangle along with the 45-45-90 were necessary because they were common formulas used when bending conduit. The unit circle is really helpful in so many different ways . Thanks for taking the time to share your techniques for learning the unit circle.
@sisterbear5742
5 жыл бұрын
I'm so thankful for this video, none of my teachers or professors ever bothered to teach about the unit circle, just handed it to me and expected me to know it. THANK YOU SO MUCH FOR FINALLY HELPING ME UNDERSTAND IT
@kareemkeryakes1706
2 жыл бұрын
im, sorry but i love you the way you explained that u deserve a noble peace prize cuz my brain was bouta explode unit u so smoothly explained a full week of lessons in an 8mins
@xaimeglez74
3 ай бұрын
WOW, MIND BLOWN!!!!!!!!!!!!! Really, that’s how you get Pi???? Thank you so much for showing this, much appreciated!!!!!!
@TiberiusStorm
5 жыл бұрын
Best explanation yet...minus the distracting music!
@JourneyJoe
10 ай бұрын
Wow.. in all my years of learning math, this was the best explanation of this
@conejoyconejamillan3340
Жыл бұрын
I like music very much, but when it’s time to learn something especially math, l like just to hear the teacher talking explaining.
@armorvestrus4119
3 жыл бұрын
This is fascinating but hard to comprehend with just one viewing. I will save it and watch it a few more times. Thumbs up.
@Epiclynamed
2 жыл бұрын
Absolute god send, why did I not watch this years ago?
@jeanettenangreave9143
3 жыл бұрын
Wonderful way to teach the unit circle, and radians in particular. Keep making educational videos.
@misbahzeb5741
6 ай бұрын
Very extremely useful method of teaching I understand the unit circle in 8 minutes and first time about the pi. I am a tutor and trying to polish my skills. Jazak Allah
@ShumailaKhan-bq9go
7 күн бұрын
Muslim? I am a Muslim from Pakistan I am in class 11.
@TheKevin12343
6 жыл бұрын
Awesome really awesome finally one video to answer my question WHY RADIAN IS SO CALLED AND WHAT IS THE DIFFERENCE BETWEEN DEGREE AND RADIAN.
@Nobody-zq8bl
4 жыл бұрын
Right? I've never heard anyone answered that first part. Never. It should be the very first lesson about radians. Understanding is much more important than memorizing.
@christinajiang366
3 жыл бұрын
U saved my life I have finals tomorrow and I just figured this is gonna be tested ;-;
@aborne
9 жыл бұрын
ProductionBandit Thanks for watching the video and commenting. The Tan(30) is indeed √3 / 3 Here's why. Review the 30-60-90 triangle. The sides are 1, 2, √3. Since tangent is defined as the opposite angle over the adjacent angle, that would be 1/√3. For various reasons* society does not write rational numbers with radicals in the denominator, so, 1/√3 is re-written as √3/3, they calculate to the same thing, approx .5773502... * radicals in the denominator are impossible to do on a slide rule.
@dawsonb12isawesome
5 жыл бұрын
i dont even care about the backround music this tutorial saved my interest in math and proved it wasnt just memorizing a bunch of pointless numbers
@brittneyduque8141
5 жыл бұрын
Same, we've been using the unit circle for 2+ months now and finally I get it.
@mryup6100
5 жыл бұрын
I hate when math leaves logic and becomes memorization.
@flyingoctorok3149
5 жыл бұрын
What do you mean? The background music was awesome
@Nobody-zq8bl
4 жыл бұрын
@@mryup6100 That's when you know you need to study differently for understanding or your teacher needs to explain WHY things are how they are, not just WHAT they are. I'm in University, and nobody has ever explained until I saw this video WHY a radian has its name.
@luccianoblock5127
3 жыл бұрын
I am a visual learner and this will really help me get a better understanding of the unit circle visually wish me luck on my test thank you so much
@mariasad6007
2 жыл бұрын
Thank you so much. I now FINALLY understand the unit circle. I have two trig tests this week and this video has given me some hope😁
@TheAQUASERVICE
3 жыл бұрын
thank you so much Andrew, it is really well explained. This finally make sense to me, before today it was French.
@dijonstreak
2 жыл бұрын
fricking. AWESOME...FINALLY. i understand it. thanks to YOU...this. after MANY, numerous books, videos etc. on thew SAME subject but never REALLY got it.....until NOW...what a relief..!! thank YOU for an outstanding tutorial on this important subject. !!1 5Star Job. !!
@mianai99
4 ай бұрын
Man! you deserve a Nobel Prize Thanks!
@aborne
4 ай бұрын
Wow, thanks!
@biancabrown7279
Жыл бұрын
The first video that actually made this subject make sense.
@CeaselessWatcher01
Жыл бұрын
Thank you so much, its because of you I'm not afraid of failing my Pre-Cal class 💀
@johnishikawa2200
Жыл бұрын
So the linear distance around the outer edge of the circle is a measure of the angular distance at the center between the initial side and the terminal side. A linear distance equal in length to the radius, but that fits on the outer curve of the circle cuts off an angle at the center between the initial side and the terminal side intersecting the circle. This angle is then said to equal 1 radian, or approximately 57.3 degrees.
@anastasiaoikonomou4347
Жыл бұрын
This was the best explanation of the unit circle, you’re awesome thanks so much!!
@mryup6100
5 жыл бұрын
Having the music a little lower would be better. Like the way you teach!
@713theresa
3 жыл бұрын
Thank you SO MUCH for explaining everything! And doing so very clearly!
@AkashKumar-wb3iq
4 жыл бұрын
You are great I really confused in this topic but when I watched our video I clear my dout thanks you so much sir😃😃
@Keano70a
2 жыл бұрын
Slow Clap. thank you. I am in my 40s redoing my final maths exam from second level (high school). This was very helpful.
@aborne
2 жыл бұрын
I greatly respect you for that.
@warrenfarley9201
2 жыл бұрын
This video was very effective but also fast. Awesome job man!!!
@gracek4793
6 жыл бұрын
needed this so bad. best explanation EVER. Thank you!!!!!
@donnavankeulen6599
6 жыл бұрын
Thank you for your beautiful explanation! Looking forward to more videos.
@donnihonig
Жыл бұрын
This was brilliantly explained!
@DjJuiceh
4 ай бұрын
bro unlocked years of confusion by showing me what a radian is
@tylerhansen5817
4 жыл бұрын
This the best video I've ever seen period. Not even math related, I feel like I just unlocked the da vinci code.
@ethanisaac4789
3 жыл бұрын
Everything makes sense now. Thank you!
@ThePiMan0903
Жыл бұрын
Thanks for this! It is really helpful!
@pratikpawar05
2 жыл бұрын
You really made my mind blown🤯🤯
@maaifoediedelarey4335
5 жыл бұрын
Great job - to make it complete, add the trig functions, these are the most important part.
@abdalrahmankhaled5467
3 жыл бұрын
Thank you so much I didn't understand anything from any video except this ❤️❤️❤️❤️❤️❤️
@gawdzamn
2 жыл бұрын
Senior year of high school just ended and I have gone through pre calc and ap calc without being able to understand or memorize the unit circle. Decided to fix that before college and this video is extremely helpful on my understanding. Now I just need to memorize. Thanks!
@aborne
2 жыл бұрын
It makes a big difference that you are seeking out the knowledge. When a student is told to learn it, its not as easy to learn stuff.
@THE_ONLY_GOD
2 жыл бұрын
Thanks! That 2pi r moment was appreciated!
@aborne
2 жыл бұрын
As long as I have GOD's attention. Bless me with great students this year. Actually I'm kidding, for I have great students every year. 🙂
@THE_ONLY_GOD
2 жыл бұрын
@@aborne I'll do what I can.
@Sarah-dq9vh
4 жыл бұрын
Finally understood why 90 degrees = pi/2 ... Thank you so much!
@aborne
4 жыл бұрын
Sarah Kathuria you are welcome!
@cg6919
2 жыл бұрын
This is making much more sense, thank you!
@pariscoroneos1365
6 жыл бұрын
Bro how can I ever repay you for this?
@cassandracantrell2322
5 жыл бұрын
Thank you so much! I finally understand Radians now.
@flaneurable
3 жыл бұрын
You're the man! I'm almost there.
@ayaabbas7506
2 жыл бұрын
Literally you are amazing❤️❤️❤️
@sasisuman
6 жыл бұрын
This is an awesome explanation of the unit circle. I would use this to teach my kids this concept. The background music is awful and distracting too, any chance you could get rid of that?
@annek9231
3 жыл бұрын
This video helped A BUNCH
@weinaxiao9966
6 жыл бұрын
I am very thankful for this video and as a person who learns visually, it helps me process the concept of the unit circle better in comparison to lectures.
@RobertoTorres-sm7rs
5 жыл бұрын
Literal brain explosion when 3.14 radians
@gabbau8579
4 жыл бұрын
Wow, really helpful in just 8 mins!
@omairali7252
6 жыл бұрын
great explanation and all but it was hard to grasp the concept with the background music please don't do background music but awesome video thank you!
@nathanielappleseed8082
6 жыл бұрын
Fantastic Video, I just needed a good refresher on this. I was looking at my book for 15 minutes and then I found your video, 8 minutes and it all came back to me. Thank You, btw I enjoy the background music.
@nerdonaquest1314
3 жыл бұрын
Awesome explanation! So easy to understand!
@gardeninginthenortheast6220
5 жыл бұрын
Thank you for this great explanation.
@ArturoGarzaID
5 жыл бұрын
"The Borne Mathematic Identity" starring Andrew Borne.
@brianty6676
6 жыл бұрын
Great tutorial, but the music was really distracting.
@rodthegreat5083
6 жыл бұрын
LMAO. Ignore it LOL
@maaifoediedelarey4335
5 жыл бұрын
@@rodthegreat5083 *_Complete_* concentration isn't possible with noise (even to those who think it is). It has no place when teaching anything.
@anabasha1000
5 жыл бұрын
Fantastic video, made things clearer thank you.
@ashikurrahman6027
5 жыл бұрын
excellent effort ... the best one
@trqshboat
Жыл бұрын
so helpful! thank you so much ❤❤
@eleanorwj2839
Ай бұрын
Love the music, great video😂
@aborne
Ай бұрын
@@eleanorwj2839 thanks. sadly, the music prevents any monetization. I was foolish to add it.
@fthitekle9354
2 жыл бұрын
Ohhh thank you so very much.
@leisurefarm
9 ай бұрын
really good but for the distracting (and hilarious) music in the background. ps, i didn't realize you had already stated it in the description. thanks for taking the trouble to reply!
@aborne
9 ай бұрын
Yeah! The music is distracting...I made a smilar video without the music, but unfortunately this one got really popular.
@leisurefarm
9 ай бұрын
@@abornegreat! thanks, shall check out the other one!
@RaffaelloLorenzusSayde
2 жыл бұрын
I have a question! Can we say for example, pie/2 can be equal to 6pie/6, 4pie/4, 3pie/3? Wouldn't that make it easier if also shown in video? Thanks (:
@DevDevi
3 жыл бұрын
This is pure gold 🔥
@JuanRodriguez-tr6st
3 жыл бұрын
This was very intuitive
@jayhayche7010
2 жыл бұрын
the music is frikin awesome
@aborne
2 жыл бұрын
Thanks for that. Most viewers find it distracting so I made a version without the background music. And yes- I am grateful for your comment.
@nixcoolfix
6 жыл бұрын
Visited site and downloaded. Great help. Thank you!
@sethlee09
5 жыл бұрын
This just blew my mind
@avah2579
3 жыл бұрын
This helped so much! Thank you!
@Mnemosina
8 жыл бұрын
Amazing!Comprehensive and concise! Thank you so much.
@emidooley6979
3 жыл бұрын
This video is goated
@jamesventura3689
Жыл бұрын
amazing
@IShowMaths
6 ай бұрын
THANK YOU SOOOOOOOO MUCH.
@ujuuju4311
5 жыл бұрын
this is the explanation i need to understand unit circle thanks
@Sarah-by3hf
7 жыл бұрын
How do you even get the numbers for radians when you don't have this special thing your using!?
@jddelaro3011
3 жыл бұрын
amazing. Thank you!
@markbaker3296
3 жыл бұрын
I like the video and the music
@khalidsaeed8938
7 жыл бұрын
that is a great video clearing basic concepts. thanks a lot sir. may Allah bless you
@sangpham2372
Жыл бұрын
Many thanks sir!
@Shannon_Robbie
Жыл бұрын
Great video! However, I don't understand how the 'x' coordinate can be √3/2. What does that even mean?
@aborne
Жыл бұрын
Good question. Numbers can be represented in many ways. You know how the fraction ½ is just another way of saying 0.5? It's the same with √3/2 That's also a decimal, (it is about 0.866025) The reason we like to use that weird form, √3/2 is because it a short way of writing a decimal that has never-ending numbers. If you're an engineer, then YES, you use the decimals for real work.
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