A way to remember the Entire Unit Circle for Trigonometry

[DarkPheroh]

LEFTY :D

[DwadeX]

THANK YOU

[DwadeX]

Man I just prayed about this homework to God and it lead me straight here I learned this circle in 4 minutes!!!!!!!!

[cercatricedesogni]

@DwadeX Don't thank God, thank this man for making it.

[Teraparcec2Go]

I stepped in a steaming Tau PI here once...

[theJeeper116]

what about the tangents?

[patrickJMT]

@theJeeper116 you just take the sine value and divide by the cosine value to get the tangent value

[theJeeper116]

@patrickJMT haha. yea thanks!

[blablabii]

thank you so much for this video!! It makes so much more sense to me now.

[limelightmoon]

... i took calc last year and now junior year right before applying to college im going to take calc 2.. yet i realize that i didn't understand this stuff then than i do as of right now.

[AlLsTaR6000]

How do you find the degrees to unknown degrees like -9pi/4?

[JasmineVanille]

@AlLsTaR6000 Hi, my pre-calc teacher taught me a really easy way to find out. you might need a calculator. So like he said pi is the same as 180 degrees so you would substitute 180 for pi. so (9x180)/4 = 405 degrees. another simpler example would be to find pi/3 which is clearly 60 degrees but do 180/3 and you get 60 degrees. so just substitute 180 for pi and then proceed to do the algebraic math. :) hope that helps!

[farraw33]

i don't think i've ever experienced anything that was explained to me in such a CLEAR and SIMPLE WAY as this! Great refresher, thank you so much :)

[rondinsk]

Thank you very much! subscribed!

[tennischic1996]

thank you so much!! i wish my teacher had explained it like this!

[stefpratt]

Thank you! I have watched dozens of videos, and yours is the one I always come back to when I need a refresher. You explain it better than any textbook.

[patrickJMT]

@stefpratt glad you like my stuff : )

[FormulaOneFan1]

Also just a question to ask you Patrick, do you have a video or do you know a trick to remembering the tangent values that go with each set of angle values on the unit circle?

[FormulaOneFan1]

Dear Patrick, thank you for the vid, not only do I now know the Unit Circle, your video also helped me to get an A on a pop quiz yesterday. Thank you soooo much for the video I really enjoyed it.

[vi3tb0i4life]

I don't know if you already know this, but a way I was taught how to remember what was negative in each quadrant was with this acronym, All (First Quad, Everything Positive) Scholars (Second Quad, Only Sine is Positive) Take (Third Quad, Only Tangent is Positive) Calculus (Fourth Quad, Only Cosine is Positive). Also thanks for making these videos, I'm using them as a review for my examination to test out of my Trig class in college. You're very clear and easy to understand.

[MissAnimeFreak513]

Thank you so much, I needed to remember the whole unit circle for my quiz 

[Brientastic]

Youtube, say hello to your new calculus teacher. the old one really didn't know how to explain things but this new guy does.

[piiixiedust]

YOU ARE AMAZING thank you so much

[69lolwut69]

I definitely should have tried looking up this video when I was in trig 2 years ago. The way I memorized it finally 2 years later was to save the unit circle as my monitor background and memorize, memorize, memorize.

[WakeFan95]

@Leonie9220 for the unit circle test, yes.

[Claudiia1234]

OMG. Why haven't I thought about this earlier?! I'm both a math/physics student and a math teacher, so besides helping me with my math studies you also manage to inspire me to improve my lessons! You are absolutely GENIOUS, Patrick. Thank you.

[patrickJMT]

@Claudiia1234 my pleasure ; ) 

[VirtueRecords]

Is it weird that I'm 13 and I'm interested in Trigonometry. Oh, and, you sound like a true Mathematician. I wish you taught at my school.

[TheMasterSlasher]

@VirtueRecords No that is not weird.

[Leonie9220]

math freak

[cortesjosed]

math y u no hard?

[XsakuXrawrX]

Go ALL the way around the circle!

I should really stop 9gagging and start revising...

[AICxMexiBoy]

Good way to remember which are positive or negative for the value is ASTC or All Students Taking Calculus 1st is all 2nd is Sin is positive 3rd is Tan is positive (so none because tan is sin/cos so when they divide they will be positive) and last is Cos is positive Cos is the first number in your coordinate (X) and Sin is the second number in your coordinate (Y). Hope I helped!

[bedbugsdobite]

@AICxMexiBoy the way our teacher told us was to remember "all stations to central" so going anticlockwise around the circle it would be All Sin Tan Cos

[cassanovadamsle]

I watch your videos and Im like, "Mind f*ck!"

If only I discovered this video last week. Thank you so very much. VERY VERY MUCH.

[runover987654321]

Can I call you a math god?..... o_O

[WakeFan95]

You just saved my grade.

[Leonie9220]

@WakeFan95 really?

[saifirefly]

I've struggled with unit circle since I first took precalculus, and now that i'm in calculus for a second time (passed the first time but now that i'm in college i thought i'd take it again to be solid, struggled a bit the first time). when you mentioned the 1, 2, 3 and take the root of the top I FINALLY got it! that was the missing piece that i've been struggling with for so long. I've got my calculus final tomorrow and this will make all the difference, I just know it. Have a great holiday!

[tunisiangeek]

good !

[TheTwinklestar16]

awesome~

[FrostWolfClanisBad]

Thanks, this helped a lot!

[danjoelabrenica]

Pi is not wrong, is it??

[MinazQueen]

I just want to thank you soooo much!! This video helps me in ways you don't understand... well you probably do lol. Again, Thank You!

[peoplesbederpin]

Thank you for saving my butt for my pre-cal final tomorrow xD

[dlsalan]

OMG! :D thank you!

[walawalaaznman3]

J: Jesus of

M: math

T: teachers

[patrickJMT]

@walawalaaznman3 : )

[22ynnek]

THANK YOU

[Dewskiz]

That perfect circle... Hnghhhh.

[SillyIncantations]

I watch this video every time I review for a test, and it helps so much xD. Thanks a lot!

[DarthYoungling]

Woah, I never noticed that 123 thing lol, that makes it sooooooooo easy to remember

[SweetAngel478]

I love uuuuuuuuuu!!!!!!!!!!!!

[DebbieCastSant]

OMG THANK YOU VERY MUCH!! I can actually understand it a little bit more!! THANK YOU THANK YOU THANK YOU. You are making a difference!

[youarelovedSOmuch]

Don't allow ads

[sonataroger]

I love you! I'm passing my test tomorrow!!!

[TheAlmondbar]

not only did this help but i actually learned how it came to be pretty much and now understand it :) much thanks!

[juliealvarez77]

yay! you are amazing!

[nooory3]

Thank u, but I don't know where to use it. xD

[egienika13]

hey, what are the general forms of the angles coterminal..? I still don't get it (Just a bit LOL)

[Edaddy916]

thanks man. really good trick for finding those points

[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.

[patrickJMT]

@dtbjjrb glad i could help :  )

[flowiepanda]

@dtbjjrb i thought that was kind of obvious...

[evanjamesmallon]

OMG THANK YOU! BIG CALC EXAM TODAY. AND I HAD NO IDEA HOW TO DO THIS TRIG ANGLE STUFF. My trig teacher was awful in high school and this stuff was the only thing I had trouble with until now thank you!

[peaceloveham11]

thanks so much for helping me, much better than my teacher



[Csy0095]

Aha! your math is flawless, yet you have no 7:18 on your video! It's a conspiracy...

[riggparkstephen]

Thank You, God Bless You This Helped Me A Lot

[jhess1001]

Dude... Wish I had this for precalc/trig. I just found your channel. Keep on rockin man. You're doing great.

[ruthiepoothieful]

dude, my precal teacher used your videos to teach us in class, (;

[drxfart]

..Taught me more in 7 minutes than my teacher did in 3 days of teaching? And they wonder why Californians are so dumb... it's because our teachers suck dick. -_-

Thanks For the Video!!!

[dumchikk]

Thank you soo much your the reason I'm passing Precalc =]

[NinjaPrincessMadi]

I have to memorize this and get a 100% tomorrow! This is so super helpful! THANK YOU!!

[swimchik95]

this was so helpful, thank you! (: I really appreciated it

[Cleuq]

OH MY GOD. EPIPHANY. If you know the values in two quadrants and want the units for the other two, you basically get the value of the opposite value (pi/6) and add the denominator (pi/6 + 6/6), which equals 180 degrees... Or something.

I AM SAVED.

[patrickJMT]

@Cleuq ha ; )

[LaVieBohemex0x]

The points on the unit circle really helped me.

[sugarsean93]

God bless you!!!

[F0g23]

Thank you very much for this video. Very informative and very helpful. Keep it up!

[supasaxplaya93]

SO much easier than the way I used to try to remember it!

I used to remember the three possible values for sin or cos, then for pi/3 and pi/6 to remember which is which, use the first coordinate value! pi/3's x value fraction adds up to 3, and pi/6's values (not thinking about the root here, just the 2) will multiply to 6!

[RatchetSK]

121 ppl do 2pi radians on their skateboard

[iSNEEZES]

wow magic!!!

[mrfreebies719]

what is a good way to memorize the radians? like pi/3, pi/4, pi/6 fast without doing the conversion stuff

[lol5748]

@mrfreebies719 Just remember that pi is 180 degrees. the way i think of it is that if pi is 180, pi/6 must be 30 degrees, (180/6 = 30). pi/4 is the same thing as saying (180/4 = 45) and pi/3 is (180/3 = 60)

[zaneacademy]

good video. great teaching skills...

[patrickJMT]

@zaneacademy thanks!

[tsuyuo]

Thank you SOOOO much!

[chriscros13]

LMAO "if you turn around on a skateboard you dont do a 2pie radian you do a 360 " made my night

[patrickJMT]

@chriscros13 : ) i think people should introduce that saying though

[anthonys1014]

you are a saint!!!

[CrankEmpire]

what about tan values?

[patrickJMT]

@CrankEmpire what is the definition of tangent?

[dedxsad]

thank u

[ElisseeLOL]

Are you kidding me?!! The points are that easy? I have been staring at my unit circle for half an hour trying to memorize the stupid points and all I had to do was count to three. Thank you for the awesome video!!!

[DaddyFatSzack]

Iknow my proffesor blows

[trogdor147]

7 minutes on youtube taught me more than 3 hours in math class.

[Tridyrium]

@trogdor147 for real...my professor just gives me the unit circle and tells me to memorize it without giving any tips or useful ways on how to make memorizing it easier.

This video > crappy professor

[mgclark325]

Thanks for this video! I know how the unit circle works and everything...but have never figured out a way to remember it easily.

[ThaEther]

This made me hungry.

[bobbbyyy1]

nice job!

[Supawaffle]

Could be a little clearer in the "why"....

[patrickJMT]

@Supawaffle why not watch the video about ' deriving values on the unit circle ' instead of complaining about this one.

[StillAware]

This is how I taught myself too, so I could be able to teach this better.

[maggielikedance]

i was going to get a unit circle tattoo, but after this video not anymore...

[patrickJMT]

@maggielikedance that would be a pretty sweet tattoo 

[StillAware]

@patrickJMT haha I agree.

[11m0]

Hi Patrick Im trying to become a start my own series on math videos. Ive got a camera and tripod. but dont know where to go from there.Help!

[shortfilmz123]

This is the first video I have went to for help on the Unit Circle, with the first impression that I wouldn't learn anything at all, BUT I SURE WAS WRONG!!!!! Thank you for explaining the Unit Circle in an English language!

[sleepisg00d]

you make the world of calculus so much clearer! like..seriously omg! you are saving my grade in college right now. gosh you are so awesome!

[maciekszolty]

Dude! You should definetly be a teacher, if you're not already! Thank you very much for this video. Very helpful and easy

[patrickJMT]

@maciekszolty i used to teach, but i will never go back into that undervalued, underpaid world again.

[90michaelj]

@patrickJMT and that is why i will never teach, the UNDERVALUED part

[ian559fresno]

@patrickJMT its soo true. I wanted to become a teacher but when I saw all these furlough days appearing recently it has unfortunately changed my mind :(  Oh well...

[ian559fresno]

@patrickJMT did u teach in the high school level? that's probably where the undervalued statement came from, huh?

[jenniferru]

@patrickJMT you go girl lol just kidding. I am always thankful when I do get a professor who enjoys teaching =]

[notoriousdrg]

Wow thank you so much, very simple. Saving me at precisely 1:46 am the day before my test lol

[KelvinKHuynh]

The day before my test, I had no understanding of what was going on. Luckily I came across your video and everything just clicked. Received my test back and I got an A!

Otherwise, who knows what I would've gotten.

Thank you! Your videos are awesome. :)

[TheTexasRaider]

NO WAY. I was going to sit here and memorize the stupid thing but you have provided and answer. You just passed a test for me. THANK YOU!!!

[ZeroTwoRazer]

Could you do a video on how to do the factor Theorem?

[thegreentrousers]

HALLELUJAH

[RawrrShadd]

Hey Patrick! just wondering if you can do a video on 'Dijkstra's Algorithm' please?

Thank youuu :)

[sotakemybreathaway]

Awesome vid. Thanks for posting and being an awesome teacher!

[AChav92]

damn dude, i just memorized this in 7 minutes :O

[frickoffmf]

i would replace my teacher for you anytime .....just saying 

[Kimbelle10]

I have a quiz on this tomorrow...We'll see...Lol! But thanks for posting!

[xXF1eeXx]

I'm lost I just wanted to see calculus then I saw this I'm an 8th grader in Geometry and I don't get this

[alexwasheree123]

THANK YOU SO MUCH!!!! Now I'll get a 100% on my unit circle quiz! :D

[christstc]

Thanks a bunch

[patrickJMT]

@christstc no problem : )

[famedusma96]

thanks

[vakuf8]

i dont get it

[ennraii]

OMG This is amazing, Thank You !!

[TheDougheyMan]

i do a 2 pi on my skate board

[viraj1313]

Wish i had a teacher that can teach.... now i do:)

[patrickJMT]

@viraj1313  : )

[lizzie818]

Thank you!!!!!!

[escobedol]

THANK YOU :) YOU SAVED ME FROM FAILING! LOL

[Jeffreylb94]

Thanks so much! That makes it so much easier to memorize this!!!

[PinkPeptobizmol]

I do 2π on my skateboard.

[DrewDAMNIT]

Great trick! THANK YOU!

[patrickJMT]

@DrewDAMNIT yep, no problem!

[406356690]

thank u, u make this so easy to learn

[MrYeahCarlos]

i want pie

[victorburnett]

I know what the ' JMT ' stands for now... Jedi Math Tricks.

[sskdb]

Your system of remembering values of the unit circle is ingenious! Thanks so much patrick!

[lumierebunny]

whoa you have a lot of vids haha

[thedenidude]

Oh my god you just made my life so much easier. My math teacher is a turd who doesnt explain anything....

[xBMWAce13x]

You're my hero.

[UnNuevoChile]

MY TEACHER IS BETTER THAN YOU!

then the guy giving the lecture at my University asked me: who is your teacher.

Then I said:

PatrickJMT, of course :D

[KyouMouLove]

Ty! Really helped :D

[TheRaf87]

lol, don't see why is this hard....

[patrickJMT]

@TheRaf87 thats what she said

[flowiepanda]

@patrickJMT hahah! my precalc/calc teacher says that too

i love cool math teachers

[elidrissii]

This is my first time seeing the trigonometry circle and I understood it all thanks to your video, lol. I think those who already saw it before will catch it from the 2 first seconds, lol.

[tweedyasianbird]

I had some pumpkin pie while I watched this. Lol

[patrickJMT]

@tweedyasianbird i hope there was some whipped cream on top

[HLGRockBand]

ALL STRIPPERS TAKE CASH LOL

[rachelle2227]

Why don't teachers teach tricks like this? Sheesh.

I recognized parts of this on my own, but wow, this has helped sum up my own thoughts!

[vaticanantichrist]

This comes in handy in trig but also calculus.

[sohoyankee66]

I seen your vid last summer but came back today for a review. Good stuff. Now I know why I saved it in my favorites.

[humushjar]

ur great at teaching

nd i love how ur videos are not 2 min clips like mindbites

[AramiOokami]

You are my hero O__O

[jeff77789]

i just did a 2pi on my skateboard.......

[SigmaKidd]

Dude thank you! I have a quiz on this in an hour n this saved my life lol

[loveTWILIGHTEC]

awesome video! thank you!

[sango9314]

Thank you so much. I'm taking calculus right now and we have to be like experts at the unit circle, but I never bothered to remember it.

[llx2o1]

wow this is awesome... hopefully this gonna come in handy for my exams.

[Neueregel]

nice

[planchetflaw]

I really feel like a Pie, now.

[patrickJMT]

@planchetflaw what kind of pie do you feel like?

[GraceMinnickSLAMS]

THank you soooo much! I have a math test tomorrow and the whole unit circle will be a question. You are a life saver : )

[MineCraftVideosETC]

@nightlightt It depends on what class you will be taking. Most commonly people need it starting in Pre-Calculus and will need it from then on.

[famedusma96]

where's 1,2,3 trick. i'm having a hard time here. :(

[llx2o1]

@famedusma96 look at the first Quadrant.. look at his fraction.. it starts with 1 then 2 then 3 before he square root them.

[TehNewSoars]

@patrickjmt Rofl, 38 people didn't know that 123 trick.

[MsDadoulove]

after taking trig and calc, i finally know the unit circle.... thanks PatrickJMT... God bless you

[Code3666]

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!

[Coen68]

Thank you so very much!!!! I was this close to dropping college Trig, but thanks to you, I can continue on!!!!!!

[AliiKidd]

AWESOME!!! At first I was like, pfft...this guyy! But woah! Thanks! you rock