A Trick to Remember Values on The Unit Circle

[QuesterPaul]

@Herman2729 tangents are easy. You know that tan = sin/cos and sin = y and cos = x so just memorize what's shown in this video and if you need tangents just divide the y by the x (y/x). Good luck! :)

[Herman2729]

i need to remember all of that plus tangents in 2 minutes. for my quiz tomorrow

[W3TTR3N]

This will definitely help me on my trig test

Greetings all the way from Sweden.

[Hellgoregaming]

Helpful, but I'm sure most people can get it just by thinking each part through logically

[patrickJMT]

@Hellgoregaming yes, all the logical thinking people will have no trouble, i agree.

[jmzdiana]

I love this video my teacher is full of it don't know how he got his degree

[theycantfly]

I have a trig test today! This will definitely help! Thanks!

[ryderthe8]

thank you!!

[Korycrouch]

this was soooo helpful. math teachers don't know how to teach us in months what you did in 4 minutes and 32 seconds

[inafairysworld]

Just memorized them due to your video thank you!

[skptt1]

PATRICK I WANT UR BABIES

[skptt1]

PATRICK 'I LOVE YOU BRO

[TheConfusedAsian]

I swear to god patrick when I become rich (because of your videos) I will donate a lot of money. It wonderful to see someone genuinely love math and would like to share their information with others :)

[nocando17]

Y aren't u my math teacher lol

[fergure]

This guy.... IS A GENIUS!!!!!!

[SingingMagnolia]

You are AMAZING! Thank you so much for this video :)

[Kamdonion]

AHHHHHHH THANK YOU

[sunnythakidd]

you changed my LIFE . thank youuu :)

[MrBigEnchilada]

so what happens on youtube is you get a better explanation (personal-like)

in like...10 minutes, 5 minutes...

[g0tcadaver]

You're a life saver. I'm entering an Engineering program after taking 2 years off from school. I had to take a placement test today and my goal was to test out of algebra, trig, pre-calc, and straight into calculus. Your videos greatly helped me accomplish this, which means I saved $1000's in class fees and at least a year of my time. Thanks so much!

[patrickJMT]

@g0tcadaver donations accepted on my website : )

[master0fgaming]

amazing! thanks so much you make everything so clear your the best! now i just have to remember the pi for each angle and ill be set!

[magicminer407]

I am going to link my teacher this video, maybe we'll just play it in class :D

[peacelovejonas094]

woah this makes so much sense.....you explain wayyyyy better than my teacher. thank you!

[MultiRayad]

holy crap! i almost went crazy because of this damn circle!!!!! I AM SAVED!!!

[awkwardlyconfused]

GOD BLESS YOU OMYGOODNESS YOU SAVED ME FROM BECOMING A HOBO

[minizahra]

Omg. I really do love you.

[MingMeMingMe]

How do they get the exact values? I am getting tired of looking at the unit circle.

[ttodd1292]

you sir are a genius

[singin393]

Oh my god. I love you.



[khl95]

I never seem to be able to memorize this until now, thanks!

[MoeMonkey78]

Wish me luck! (:

I've used this video to help me last year and now this year for review!

[patrickJMT]

@MoeMonkey78 good luck : ) 

[P0TAT01769]

I love you

[CupcakeDuckies]

You are AMAZIN! You're better than my college professor!! YOU HAVE SAVED MY LIFE! :D

[Firegoddess4]

thank you so much! this is so helpful :)

[11211jmr]

BRILLIANT. This is so helpful. Thank you!

[andrewj552]

Thanks a bunch man. All year through year 12 Maths Methods, trigonometry and more specifically, remembering exact values for non-calculator stuff, has always been my weakness. There was a hand trick I was taught but I can never remember, but this makes more sense. After watching this, and some of the other trig videos, I'm definitely more confident about my exam next week.

[MagooTora]

I learned, and you have an awesome hand. WHY DO I LOVE YOUR HAND?

[chris930ish]

THANK YOU! You sir are a saint. You just saved me on a test I have tomorrow.

[patrickJMT]

@chris930ish good luck!

[bubblecup18]

Oh my god. Oh. My. God.

This is amazing. Oh. My. 

[hahahahtrevor]

awesome great help thanks a bunch!

[patrickJMT]

@hahahahtrevor you are very welcome

[tolongforyou]

What about Tangent?

[patrickJMT]

@tolongforyou sin x / cos x - if you know sine and cosine, a little division will give you the values for tangent.

[tolongforyou]

Can you come replace my math teacher? His teaching skills blow, yours are amazing

[dabin88]

lefty

[ThaEther]

Brilliant.

[90michaelj]

This made me face-palm myself, its so simple but yet....HOW COME NOBODY TAUGHT ME THIS BEFORE!

[velocityinstereo]

That's a great little trick there.

[AdamarRamada]

I have my second calculus midterm tomorrow and I can do related rates and implicit differentiation but not this! You just saved me!

[dcecrack1]

Great video bro, really help me alot.....Literally in 4:32 min, I lunderstood what I was stuck on.

[nogardley]

Thanks so much! This was so helpful!

[MrYeahCarlos]

that's it?just 1-2-3?oh.what.how.is it.how'd you.

oh yeah.i forgot you're Patrick JMT

[s10jam]

I learn more from your 5 minute videos than I do from my professors in 50 minute periods.

[624500]

YOURE MY HEROOOOOOO!!!!!!!!!!!!!!!!!!

[raver42008]

Thank you so much!! I have an exam wed, and now I'm totally ready for this!! Thanks!

[rrruizzz]

This is awesome. You literally saved lives with this video.

[0p0a0s4]

Thanks so much!!!! I just moved from regular pre-calculus to AP calculus, and my teach told us that we had to memorize this for our test TOMORROW. You a life saver.

[xneonpeach99]

It's a helpful trick, however, I wish you could have actually explained how you come up with those values so I can understand it, not just remember it.

[patrickJMT]

@xneonpeach99 geometry

[patrickJMT]

@xneonpeach99 i will make a video on it

[patrickJMT]

@xneonpeach99 ok, i made a video about it!

[xneonpeach99]

@patrickJMT Thank you very much, I just started a Pre-Calc course, and I have a feeling I might be referring to your videos frequently through out the rest of the year. :P

[Incizor1]

@patrickJMT What's the name of the video? And does it explain how you get the coordinate values that are squared and divided by 2? Because I didn't really get that. Thanks man!

[patrickJMT]

@DsHacker14 if you think this is theoretical, you are pretty clueless

[jasoncape]

Thank you so much for this great video!!!!!!! :)

[famedusma96]

i can't believe i can't understand this. :(

[ctmyas]

wow cant believe it is that easy

[lilbearsfan023]

thank you so much!!!!

[Niggamancy]

I have timed Unit Circle quizzes, like it's full of Sin(pi/4) or Cot(-√3), they are a pain in the ass.

[Carthsgtr]

Well fuck my math teacher.

[patrickJMT]

@Carthsgtr id have to see 'em first

[lobsidedballs]

@patrickJMT my math teacher is Mila Kunis ;)

[VikingNightmare]

@patrickJMT epic

[future064]

perfect math

[PierreLombardini]

nice little way of remembering lol

[Starinho509]

You're a genius,. French is my mother tongue and even this, your video has helped me so much, you're great dude!

[Zitties]

GENIUS.

I now will know the unit circle even after the test!

Thanks a bunch!

[TheSpartanfan]

You hear this a lot, but you deserve to daily. You are MORE qualified than a HIGHLY paid professor. Mine is complete, for lack of a better word, shit. You have been a great help to my studies and are one of the many reasons I will actually be able to follow my dreams. I thank you very much, sir.

[t0m0wnzj00]

amazing. Thank you!

[jigleer]

Pure legend :d

[PagelsBagels]

Wait, your a math teacher? nooooo.

[Lumophage]

That made it sooo simple. I struggled all year with the unit circle, wish I had seen this earlier. My teacher did a really poor job of explaining it

[AestheticAeon]

holy...........



[garrett210garner]

dang i wish u did all 4 quadrants!!! thank you though haha helps alot

[CrazyStacey101]

..God bless you !!!

I was sooooooo lost untill this.

[hazelnut4991]

wooo! go lefties :DDD

[riggskoh]

Great!



[deathguy167]

I love you. I just got 99 on my test and I was failing now I'm passing I was going to commit suicide, but now I love life.

[gymnastgurl12345]

This is so helpful!

[Slickman235]

Thank you sooooo much!!!

[booiiboot]

Thanks

[imsmilinginside]

thank you so much!

[TheChaosDemon]

Could you please only use mauve colored markers? I have a rare form of astigmatism which don't allow me to see the obscure colors you used. The video just looks like a beehive to me.

Thank you :)

[kickmeout1]

@TheChaosDemon hahahahahaha fail at life!!@!@!

[nepalypimp]

you're the man

[MusicPollyMan1]

one thing to thing is in the first quadrant the angles are in the 10's(30,45,60) and in the second quandrant has the values in the hundreds, the third has values of two hundreds and the 4th has values in the three hundreds. so if my teacher asks me a question concerning an angles in the 200's i know it's in the second quadrant and the value of the x-coordinate has to be negative. hope that helps a bit

[starlitmoon1212]

This is the most amazing video EVER!!! best trick, thank you sooooooooo much!

[theperfectpeople]

wow you just blew my mind with 123.

[p0rtis26]

my calculus teacher referenced us to this video, great job.

[mermaidpoet91]

That made so much more sense!! Thank you for posting this!

[fmlygyfntc]

I hope you realize how much you are helping me!

If only everybody figured out that youtube is more than just entertainment

[patrickJMT]

@fmlygyfntc i think the young people know this already : )

[yukonrott]

wow that was like jibberish to me but im sure it was great info... i liked math when it was simple adding and subtracting... i tried understanding it but it didnt work..

[JoBroLoverEP]

when you put pi/3 pi/4 and pi/6, were those the radians? or what were they?

[patrickJMT]

@JoBroLoverEP yes, radians

[danielasanchez007]

Thanks!! very helpful=)

[lilelementskater]

0 30 45 60 90 120 135 150 180 210 225 240 270 300 315 330 360 what up bro

[bullseye1224]

thank you so much for posting! so helpful

[pandakabob]

MIND = BLOWN!

[jackz15784]

omg so helpful ur great XD

[josephlwu1]

excellent :)

[kittywave]

you're great

[ceo4eva]

thanks for the first quadrant, if only i could remember the other 3

[patrickJMT]

@ceo4eva i have a video where i go over the entire unit circle

[answerOfstupids]

@patrickJMT My teacher told me a trick. Remeber it by this all student take calculus. So (all)(s)(t)(c) so in all part all are positive, and in s part sin is positive.and so forth.

[Xavianator]

@ceo4eva It's technically the same values - just use All Students Take Calculus to assign signs.

[flyingtoretilas]

@ceo4eva

values are the same, you just need to change if it's positive or negative depending on which quadrant it's in.

[craz3killa]

@ceo4eva just remember that all the quadrants are pretty much clones of eachother except in the 2nd quadrant only x is negitive making only cos negitive on the unit circle and in the third quadrant it's both negitive... but other than that it's all the same

[ceo4eva]

thanks for the 1st quandrant, if only i could get the other 3 o.o

[ashgiri94]

Marry me.

[Tmatt56]

thank you for this!.

[Kohnheadproductions]

Dude that was sooooo much more help than the book or my teacher honestly xD this will make it a lot easier to remember! Thank you!!

[itskatherinee]

I would just like to tell you that you have made be 1000000x happier. I had no clue how i was going to memorize this dang unit circle until i found your video. You have made my life much better. Keep up these amazing videos!!!

[xkflash]

wow i'd just like to say this really helped me :) very good way of remembering :) cheers

[xastrickxplusx]

i love you; be my teacher :]

[christianloserkid]

you are a genius! ive been watching your videos for a while..all the way to calc 2..thanks alot man! idk how i would have done it with the bad profs that i had

[christianloserkid]

you are a genius! ive been watching your videos for a while..all the way to calc 2..thanks alot man!

[Dankwansere]

Your the best man! You helped me understand my math classes, keep it up :)

[mpatt79]

is the square root of 2 /2 = 1/sq rt 2??? For the pie/4 angle?

[patrickJMT]

@mpatt79 yep

[jkid1134]

@mpatt79 multiply/divide the top and bottom by root 2. 1/rt2=(rt2*1)/(rt2*rt2)=rt2/2

[lilelementskater]

@mpatt79 no its just not proper to leave a rt on the bottom so you multiply the whole equation by rt 2 and rt 2 times rt2 is equal to 2 so you dont have a rt on the bottom and 1 times rt 2 is rt2 so you get rt2/2

[kenedoskeet]

so where exactly is 7pi over 3 on the unit circle

[patrickJMT]

@kenedoskeet at pi over 3

[ERUTPAR2905]

Thank you soooo much!!! =o)

[rikkaitensai]

ohgawd. i'm so thankful. i'm freakin dumb in math and this just made my life easier. thanks a lot!

[G00SE216]

Thanks a lot. I've dreaded learning the unit circle for years but this is a great trick.

[shru05]

How to remember the unit circle.

[fubbar1]

Bbut i dont get this???? cos 30 = 1/2 sqrt (2 or 3) i forgot if it was 2 or 3 can u explain me that please????

[LegendarySSJBrolyBx]

O_O''' I am now saved from my review test tomorrow. You are a GENIUS!!!

[lugia58]

how do u find something like 7 pie over 3 i dont get how its reference point is pie over three

[patrickJMT]

@lugia58 7/3 = 2 1/3 so 7pi/3 = 2 1/3 pi; since moving around the circle 2pi units puts you in the same place, those angles are going to put you in the same place on the circle

[enzeru2010]

i respect u petrict keep up the good work

[Linky360]

patrick..i think i love you!!!

[patrickJMT]

@Linky360 *blushes*

[sergefabregas]

i love this dude

[Kmusicstuff]

This is genius! Thanks so much for sharing this Patrick :)

[patrickJMT]

@Kmusicstuff my pleasure!

[heyacui]

this is great, thanks so much for posting this trick!

[babyg8878]

sweet! thank you sooooooooooooooooooooooooo much!

[eduardo141414]

i just count.... 0 1 2 3 4 5 6 7 8 9 10 11 12 and divide them by 6. [0(0), 30(1), 60(2), 90(3), 120, 150, 180, 210, 240, 270, 300, 330, 360] as for the values... that i just memorize

[tennisgod12]

Thanks for the tips, you probably raised a grade on my Algebra 2 exam

[Jamesznw]

Dang nice! Love it man.

[coasterkid345]

Wow! Nice! My trig final is coming up soon and this'll definately help! Thank you!

[XxTYRASxX]

I f**king love people like this guy, you made my day i didn't get this at all before and now I'm going to pass my test that's ONLY ON this stuff. I love these tutorials on youtube, I've been confused as hell in class, now I get it in 5 minutes......why don't I just get my education from youtube people lol

[GrappyFlappy]

This guy's better than my math teacher. Final tomorrow, Gave us a complete unit circle and said, "memorise".

[WordsWontWork]

thanks so much man, this helped so much

where are u from? u have a cool accent lol

[patrickJMT]

@WordsWontWork i grew up in the middle of nowhere in kentucky

[ClassicRock8]

thanks. pure math 30 final exam tomorrow. this really helped

[stonedagegamer]

THANK YOU SO MUCH!

[screamscream12345]

lmao that's awesome!

[dylanbalsz]

this is awesome, thank you!!!!!!!!!!!!!!!!

[samsanati]

thank you so much im not the best memorizer and this helps so much

[copsdoctor]

When I watch your videos it all clicks:) I love your videos! They have helped me through Algebra sooo easily! I love math because of you! Bless you man!♥

[libyaVideos]

nice trick

[apdancer12]

Thank you so much! That was so helpful. This is such a simple trick, but I woud have never made the connection! (:

[checkthisout000]

This will come in handy on my AP Test :)

[jerreb08]

Thanks for the video! I take the MCAT in two weeks, this should help with the kinematics in physics!

[ToManifest]

Wow....thank you so much for posting this!!!

I get so wrapped up in trying to memorize everything else for my Cal finals, I start second guessing myself on stuff I know I know....such as trig values....then it just goes downhill from there.

If I know everything is correct in Quadrant I....sweet....thanks again.

[Dodosareawesome]

Thanks!