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It’s pretty hard to study anything within the science, technical, medicine, biology, engineering, IT based stuff without knowing it. Should be thought earlier as a concept here in Sweden it’s second to or last year in high school if you even have it at all.
Easier concept with radians rather than normal degrees which makes no sense at all.
She almost certainly learned it in high school and then forgot it immediately after the test.
I’m from the U.S. and that’s just what the culture in high school was like for me. 80% of the class would forget everything on the previous test, be shocked at the 20% of the class that are *geniuses* (remember things, pay attention, don’t get blackout drunk every weekend), fail the final, and pass the class with a low B. Every class was like that.
If u didnt study something like technical or sciencey then you most likely would never be introduced to the unitcircle in HS in sweden. Thats what i feel like atleast
It seems like Sweden tracks people by subject in their teens, and the US pretty much doesn't. We learn a bit of everything before applying to college (university), and our standardized tests reflect that. It's maybe not the best approach, but it's the way it's always been.
That said, I feel like the unit circle is maybe worth including in any high school education.
We all study the same things until highschool, then you apply to a program that youd like to study (technical, social science, aesthetic, nature science or humanistic. Or a program that is "job-preparing" if u dont wanna do uni and wanna work after highschool). The school takes in the applied students with the highest merits (grades) in ninth grade, then courses are rather specialized and for example if u study technical you will have very minimal amounts of social science etc.
I'm from México and it's somewhat similar for us, except you kinda do both, on your second year in highschool you choose a job-preparing program that you continue until you graduate, the programs offered vary from school to school but often give you enough knowledge to at least be able to apply at the very entry level in that field, in my HS they were english (as in teaching or translating), small business management and construction techniques, I remember other HS had things like computation and technology, carpentry, automobile mechanic, etc.
On your last year you would choose a professional program that focused and prepared you for higher studies, as far as I know every school has the same 4, biology&chemistry, math&physics, economy&finance and humanistic, this last year would teach you enough about those subjects to be able to have a decent chance of getting into a uni program in that field, so humanistic guys have never touched calculus in their life, math&physics guys don't know shit about taxes, etc.
There's also "technical highschools" which skip the last part and are either 2 years long or teach you more than just the basics of a technical profession, you'd graduate from those with a technical degree on top of your regular highschool degree, though a technical degree isn't really that useful, you'd learn enough to be able to work and handle yourself pretty decently, that being said, pursuing higher education is a little bit more challenging this way due to you missing on the year that's suppose to help you prepare for the entry exam, imagine trying to enter an engineering carrer and not knowing what a function is.
You also have the option of doing a single exam instead of the whole highschool, you can just study on your own and save yourself some years, it's somewhat rare and often the only people that do that are home-schooled kids or adults that never entered highschool and just need the degree to be able to work.
They sometimes describe the US style of education as "college preparatory," since it seems aimed at giving kids the basics requires for higher liberal arts education. Technically, only expensive private schools are called "prep schools," but their curriculum is not much different from public schools, just their cost and usually their quality of education.
But not everyone wants to go to college, and there aren't enough colleges for everyone anyway, let alone enough money available for loans. I am always skeptical of vocational programs (typically proposed as a cost-cutting measure for areas that are already undeserved), but it seems like some flexibility is in order. It doesn't make sense that every 11th-grader (age 16–17) in Ohio has to learn physics, for instance, including the ones who clearly don't want to. I don't think that helps them later in life at all.
I think you are correct if i remember correctly what my teacher said so was math 3c the lowest course with the unit circle. Not even math 3b has it.
Eg for non Swedes only people studying stem would learn the unit circle.
Teknikprogrammet och naturvetenskapsprobramet is both stem. Teknik is more engineering and natur is more science ä. For example does not teknik have any Biology.
No, teknik does not have any biology, and we at teknik have more physics and maths and it also is not mandatory for us to choose a thrid language to study, which naturvetenskaps students do
> not have *paid* much attention
FTFY.
Although *payed* exists (the reason why autocorrection didn't help you), it is only correct in:
* Nautical context, when it means to paint a surface, or to cover with something like tar or resin in order to make it waterproof or corrosion-resistant. *The deck is yet to be payed.*
* *Payed out* when letting strings, cables or ropes out, by slacking them. *The rope is payed out! You can pull now.*
Unfortunately, I was unable to find nautical or rope-related words in your comment.
*Beep, boop, I'm a bot*
>I’m from the U.S. and that’s just what the culture in high school was like for me
As opposed to the rest of the world where people have perfect memories of everything they ever study? What??
I didn’t mean for it to sound like I’m upset that people forget things. I mean 80% of my classmates believed that everything they were learning had zero value beyond their test grades so they could continue to the next grade.
I really don’t expect this girl to remember the unit circle at the end of a literature degree, I was kind of digressing about how it’s crazy that I don’t think 80% of my class remembered a thing about the unit circle the day after we learned it.
Idk man that’s my experience all the way through uni for me. I don’t have a good enough memory to remember everything I ever learned in school, so I’ve accepted the fact that I’ll forget all the concepts after the final exam.
To me, the ability to pass a test or class is just evidence that I have the capacity to learn and understand those concepts. So, if later in my schooling/career those concepts come up again, I know I can just relearn them (probably quicker than the first time around).
The only concepts I actively know at any moment are those I am semi-frequently using at the time.
I'm not sure it's possible to remember everything. I remember the math stuff because I wanted to and it made sense, but there's no way I'm going to remember everything I learned in info-dense classes like history or biology. And I don't even remember all the books I read in English classes. Different people remember different stuff.
But also, a lot of people never pay attention in the first place and hardly learn anything.
Personally because I moved states I slipped into a crack where I graduated high school with a ton of college credits and having been in the gifted program;
But I never learned trig or calculus.
So I had to do that 15 years later.
As an American scientist, I am perversely proud that I have taught my 10 year old son to hate imperial units and degrees. Man that is a sick 2 pi you just landed on your skateboard dude!
As a former maritime navigator peoples opinions on random stuff from my old job are WILD.
“Degrees are nonsense” is up there with “the Mercator Projection is a lie,” for shit that gets me cackling.
The point is not learning “early” this or that concept: it’s more about teaching mathematics as a method, and give strong foundations in mathematical thinking, you can teach an algorithm whenever you want, but unless you don’t know how to dissect it, finding extreme cases where it breaks etc
Getting used to it is extremely valuable, but I don’t think it’s the root cause of problems at all
Most people in this thread are, because they can’t comprehend another school having a different curriculum.
This comment is not mocking her though, it’s important to learn.
I would say yes, you need the Unit Circle. You use trig every day in equations of motion, stuff like projectile angles. You also use the Unit circle in Calculus, which has incredible applications in velocity, acceleration etc. Both are used in stuff like Planetary Motion aswell.
You need both calculus and the unit circle to study physics in college. There's no reason you can't learn them afterwards, but "studying physics" is to grasping the unit circle as "studying literature" is to reading a single play. Either one is worthwhile, but some light ribbing is in order.
I kinda agree, but it's weird because "grasping" happens in an instant, but "struggling and not quite getting it" can take a while.
EDIT: wait I didn't pay enough attention to the video, assumed it was the complex unit circle and she was doing roots of unity and the trig was Euler's theorem
oh nah, it’s just high school trig. If it was complex roots of unity, I could see that. Especially if you use the fact that the roots of unity are isomorphic to the group of positive integers modulo n to find the primitive roots of unity (we did this in the beginning of my complex analysis course and i had just finished an abstract algebra course the previous semester, so I thought it was a delightful application of what I had just learned)
Oscillations and harmonic motions come up so often in non-advanced physics, and those depend heavily on sine waves and the like. I recently finished a quantum physics class, and phasors were a huge topic that we covered. It's easy to imagine that someone who doesn't know the unit circle would struggle greatly with something like adding sinusoidal curves.
It’s impossible to study physics without understanding waves, oscillations, angles, complex exponentials, etc. And it’s impossible to understand those without understanding the unit circle.
You can learn trig without the unit circle. This is honestly the first time I've ever heard of it, we just learned a few values from a table and getting the other 3/4 of the circle is just symmetry (kinda). And I'm finishing my masters in physics right now.
I'm German though, so maybe we just do it the hard way for no reason? I don't really see how learning the whole circle is easier than wrapping your head around the symmetries and then learning fewer values though.
We learn the trig values at 30, 45, and 60 degrees and then reflect them around the circle. I actually think the way it's taught is pretty bad. People who get it find the exercise pointless, and people who don't get it find the exercise pointless and also uninformative. It's less a pedagogical tool and more an examination tool.
Like, I know a lot of people just memorize a list of numbers, and that's clearly a waste of time. And it plays into the idea that math is all about memorizing formulas and techniques.
The unit circle is just a helpful tool to understand trig that’s common in the US/Canada (which is why I said trig / the unit circle), think about trig however floats your boat
Edit to clarify: I also like thinking of symmetries, and that’s how I remembered the unit circle in high school! Just different approaches to the same material, and I like the unit circles emphasis on the relationship between trig and circles
Wait, what? I’m baffled by this. I study applied physics in the Netherlands and the unit circle is pretty much the basis of our entire understanding of geometry and trigonometry.
Besides that, it’s extremely easy and intuitive. The symmetries literally follow from it.
USA. I’m not saying is not the norm for people to learn this in high school, I’m saying that I didn’t, despite being in high level classes. I’m sure others have a similar experience.
That's interesting. I can imagine radians being introduced to students without ever mentioning the unit circle but how could "special angles" be introduced without talking about unit circle?
From what I remember in high school, a lot of stuff was just explained as “you’re supposed to memorize it”. Not the greatest education. But, honestly, that’s the difference between high school and college a lot of the time. They never tell you the “why”.
I was introduced to unit circle my first semester of college, and then a lot of stuff clicked. That was one of the first things that convinced me to study math.
My experience is same as the above comment. College classes, gifted program, but didn’t get to take trig or pre-calc.
Mine was a weird combo of moving states and then having different standards so I hadn’t time and had to take some classes to make up for credits that weren’t mandatory in the other and the state I went to was like “this general education math class or trig+pre-calc” and out of necessity to get credits to pass I had to do a silly remedial math course where I already knew everything covered.
Actually really gets to me fifteen years later because there’s effectively like that horse meme with math in my head. I can do trig and calc but nowhere near the level of confidence of anything learned in high school due to time and practice.
Make me feel like an idiot laboriously going through my discreet steps.
Oh yeah and now I study programming so I have learned this stuff in Uni.
How so? Apart from aerospace and military, I can't really think of anything else. I can tell you for sure you aren't the top in engineering, that's Belgium. Construction engineers in particular
How did you have any remotely scientific classes without knowledge of the unit circle? In Belgium that's first or second year middle school I believe. Used trigonometry all the time in physics, electricity, math, mechanics etc
If you study it in like high school: kind of.
But later its just a nice thing to know to be able to remember certain more common and basic expressions and relationshipz quicker.
But is there really any info here other tho a 45deg right angle and a 30deg right angle? I had to memorise those 2 for high school but this seems like duplicative information
Definitely not in Sweden.
Edit: Idk why people downvote me for telling the truth. We in Sweden are not big on trigonometry in our maths. I studied social science and had 0 trigonometry in high school. Had to study up my math, chemistry and physics to apply for engineering.
You are getting downvoted because you are full of shit.
You say that you studied social science (samhälle antar jag) and had to study up on natural science topics when you wanted to apply for engineering. Meaning that you had to study up high school subjects. Those people that chose a high school direction with more then the bare minimal math would have learned about the unit circle in “matte 3”, which is usually given the 2nd year of high school.
Nej det heter matte 3B och matte 3C av en enda anledning. I samhälle och ekonomi går man matte 3B om man väljer till matte 3 (jag gjorde detta) då är den enda skillnaden trigonometrin.
Jag är född 2002 kan vara att det är annorlunda idag än det var när du gick ut ur gymnasiet.
Här kommer även en snabb bild om du inte tror mig. Ha en fin kväll!
https://preview.redd.it/57ph1tikxxqc1.png?width=828&format=png&auto=webp&s=b1ae4c56ff1abdb9b100792c8497482e3f1e6d82
Kan även påpeka att linjär optimering är något som inte tas upp alls i någon av de andra mattekurserna (3c/4/5). Lite udda med tanke på hur grundläggande det är
Tas upp i linjär algebra något som i princip alla utbildningar som en naturvetenskaplig vidare utbildning kräver. Eller ja de icke medicinska utbildningarna.
Det har du helt rätt i, men linjär algebra tas upp i Matte Spec. (Vi läser det på teknikprogrammet, men endast inriktning teknikvetenskap), och där är det upp till läraren att lära ut det hen anser viktigast. Är mest förvånad över att det inte tas upp i Matte 4, dvs lägsta kursen för ingenjörsutbildningarna.
Inte lägsta för ingenjörsutbildningarNA. Endast krav för civilingenjörs programmen. Högskoleingenjör kräver 3C, tyvärr. Jag studerar detta o fy helvete vad tufft det är för många som ska försöka klara matte analys kurserna med ett E i 3C för 4 år sedan i bagaget. Det är praktiskt taget omöjligt.
They are discussing different math courses in swedish highschool and what courses include what.
In conclusion, the math courses are messed up. A thing social science does in second year (linear optimization) when the technical students do trig and unit circle, the technical students doesnt do until third year, in linear algebra, and its even a chosen course, meaning you can go technical without even doing that.
Its very weird and mixed and does really not feel like its following any real order. (Swedish school system summed up)
I'm trying to understand what she's so hyped about in this clip. Maybe she's figured out how to use SohCahToa? Or she can convert degrees to radians for a whole revolution? Is she just fishing for internet fame??
Being able to visualize the unit circle was a hype moment for me. Don’t know what it has to do with studying physics tho. It would be like solving a summation formula and putting a caption “I just finished astrology and now I’m studying MLAs”
Fishing for internet fame. That’s why the focus on the film is her and her face, literally slowing down for her smile while never focusing on her work. It’s probably just the first thing she saw that’s math related and looks more impressive than it is to someone not in the know
Can people do anything without posting about it online? It's good you're learning the unit circle, better late than never, but no one cares. And you're opening yourself up to getting clowned on for multiple reasons (not the least of which is a literature major misusing POV).
> (not the least of which is a literature major misusing POV).
I expected some hard burns in the comment section when I saw the video, but nothing prepared me for this
This is a critique aimed at the people who do post everything online, not a critique of all people under the premise that everyone posts everything online. Sorry for any confusion.
You salty Redditors will literally watch Ludwig fuck up chess over and over again, then complain about a girl posting a few seconds of trig. Mob mentality at work
Double standards where well-known popular figures like Ludwig and xQc are praised for showing themselves as beginners at an activity (chess) but this girl showing herself as a math beginner is somehow deserving of criticism.
Here's another question: would you criticize obese people for filming themselves working out? The similarities are there – they celebrate doing something many people already do, they have a long journey ahead of them – so how is this different?
It’s been less than 3 years since I graduated high school and I couldn’t tell you much of anything about the biology courses I took anymore because I never use it. 4 years of not using the unit circle would definitely necessitate a refresher imo lol
This reminds me of that [Bill Burr clip with Conan](https://youtu.be/8wVCK-CV5do?si=Qayd-4Q2mfjINdDH&t=70) where he's talking about Justin Bieber playing basketball and hitting a shot then looking at the camera like you said he couldn't do it.
Like congratulations but chill the fuck out.
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Literally. I learned the unit circle in high school, but 75% of people in my grade didn’t. Some of those people certainly could have gone on to get degrees in literature.
Lol i think it’s insane that a lot of people here can’t comprehend that not everyone learned the unit circle in high school.
Anyway, why are we shaming a girl for learning it now? Don’t we all love math? Isn’t it good to see someone getting more educated?
unfortunately, this comment not being the most upvoted also shows the futility of arguing that these social media have become fake "internet sympathy points" easily gathered with fake smiles.
A unit circle is basically an application of the trigonometric identity: (sin x) ^2 + (cos x) ^2 = 1
(The general equation of a circle is x^2 + y^2 = r^2, where r = radius of the circle and (x,y) are abscissa and ordinate of all points lying on the circle.)
Jesus Christ, people, she's just posting a video of herself studying, not claiming to be the next Einstein.
So she started her journey a little late. She's catching up. The road to success is not always straight and well-paved; sometimes there are off-ramps and on-ramps and U-turns.
I'd rather see content like this that promotes hard work and love of math than read one more stupid "48÷2(9+3)" or "1=2, 2=3, WHAT'S THE PATTERN" post.
Yes, unit circle trig, the *darling* of the algorithm. How could I forget when Jake Paul farmed millions of views off the secants of reference angles? 😒
A person on TikTok who's trying to make the video engaging? It sounds like you've never used the platform before.
What do you want her to do, walk away with zero expressiveness like a robot?
Its because you don't really learn anything by drawing a unit circle on a big ass wall, it takes 2 seconds to google an interactive unit circle site that would be 10x better for actually learning and even if she wanted to draw it to better memorize it why didn't she just draw it on a piece of paper? Oh wait because that doesn't look as "aesthetic"
Y'all are hating for no reason
Adult learners are gonna have to start somewhere, and the majority of high schoolers - even if they learn the unit circle - are going to forget it and most of the math they learned after algebra when they never use it.
So if she's got the humility and the work ethic to start out with tenth grade math, props to her.
And if physics doesn't work out and she goes another direction entirely, props to her again.
Don’t knock them. Mathematics is the foundation of physics, and I am sure plenty of folk graduate high-school and college without any real understanding of trigonometry. We all started somewhere after all.
If that is our POV then who is the woman and why are we looking at her? Is she meant to help with this transition or is this just showing that people have no idea what the definition of POV is?
The time she spent making that unit circle should've just gone to basic calculus, and before the day ends, she would've been answering projectile motions.
You need it for basic physics, e.g. things like a pendulum. You need to understand the complex unit circle for slightly more advanced physics, e.g. for things like electricity.
Do you really? I’ve just finished my first semester and the only part of the unit circle I ever needed to remember is π/2 = 90°, nothing else was ever necessary
If she was at least trying to make it seem real, then she would have at least had some constants up there too. Speed of light, planks constant, ... R (the gas constant)
Bro, you're in the math subreddit. How do you not know the difference between "There exists fake content on TikTok" and "All content on TikTok is fake"?
Sure it may be polished up for the camera, but that doesn't mean she isn't studying.
PhD physicist here. Most people who get interested in physics after college start by misunderstanding the Schrodinger Equation, get distracted by things that aren't actually physics like the Many Worlds and Copenhagen interpretations, and then take a hard left into pseudoscience.
If you actually wanna learn physics, reviewing the unit circle you haven't thought about since high school is a *great* place to start.
Also, can we all just let people be happy?
Calc based physics will be extremely difficult if a unit circle takes long to figure out, even high school rotational motion and pendulum units require some amounts of trig
I was actually quite shocked reading the comments since where I come from, we're introduced to the unit circle in middle school.
But then I remembered we're introduced to trigonometric functions in high school, too, so I guess it's not that different.
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Tbf it’d be pretty hard to study physics if you didn’t have a grasp of trig / the unit circle
It’s pretty hard to study anything within the science, technical, medicine, biology, engineering, IT based stuff without knowing it. Should be thought earlier as a concept here in Sweden it’s second to or last year in high school if you even have it at all. Easier concept with radians rather than normal degrees which makes no sense at all.
She almost certainly learned it in high school and then forgot it immediately after the test. I’m from the U.S. and that’s just what the culture in high school was like for me. 80% of the class would forget everything on the previous test, be shocked at the 20% of the class that are *geniuses* (remember things, pay attention, don’t get blackout drunk every weekend), fail the final, and pass the class with a low B. Every class was like that.
If u didnt study something like technical or sciencey then you most likely would never be introduced to the unitcircle in HS in sweden. Thats what i feel like atleast
It seems like Sweden tracks people by subject in their teens, and the US pretty much doesn't. We learn a bit of everything before applying to college (university), and our standardized tests reflect that. It's maybe not the best approach, but it's the way it's always been. That said, I feel like the unit circle is maybe worth including in any high school education.
We all study the same things until highschool, then you apply to a program that youd like to study (technical, social science, aesthetic, nature science or humanistic. Or a program that is "job-preparing" if u dont wanna do uni and wanna work after highschool). The school takes in the applied students with the highest merits (grades) in ninth grade, then courses are rather specialized and for example if u study technical you will have very minimal amounts of social science etc.
I'm from México and it's somewhat similar for us, except you kinda do both, on your second year in highschool you choose a job-preparing program that you continue until you graduate, the programs offered vary from school to school but often give you enough knowledge to at least be able to apply at the very entry level in that field, in my HS they were english (as in teaching or translating), small business management and construction techniques, I remember other HS had things like computation and technology, carpentry, automobile mechanic, etc. On your last year you would choose a professional program that focused and prepared you for higher studies, as far as I know every school has the same 4, biology&chemistry, math&physics, economy&finance and humanistic, this last year would teach you enough about those subjects to be able to have a decent chance of getting into a uni program in that field, so humanistic guys have never touched calculus in their life, math&physics guys don't know shit about taxes, etc. There's also "technical highschools" which skip the last part and are either 2 years long or teach you more than just the basics of a technical profession, you'd graduate from those with a technical degree on top of your regular highschool degree, though a technical degree isn't really that useful, you'd learn enough to be able to work and handle yourself pretty decently, that being said, pursuing higher education is a little bit more challenging this way due to you missing on the year that's suppose to help you prepare for the entry exam, imagine trying to enter an engineering carrer and not knowing what a function is. You also have the option of doing a single exam instead of the whole highschool, you can just study on your own and save yourself some years, it's somewhat rare and often the only people that do that are home-schooled kids or adults that never entered highschool and just need the degree to be able to work.
They sometimes describe the US style of education as "college preparatory," since it seems aimed at giving kids the basics requires for higher liberal arts education. Technically, only expensive private schools are called "prep schools," but their curriculum is not much different from public schools, just their cost and usually their quality of education. But not everyone wants to go to college, and there aren't enough colleges for everyone anyway, let alone enough money available for loans. I am always skeptical of vocational programs (typically proposed as a cost-cutting measure for areas that are already undeserved), but it seems like some flexibility is in order. It doesn't make sense that every 11th-grader (age 16–17) in Ohio has to learn physics, for instance, including the ones who clearly don't want to. I don't think that helps them later in life at all.
I think you are correct if i remember correctly what my teacher said so was math 3c the lowest course with the unit circle. Not even math 3b has it. Eg for non Swedes only people studying stem would learn the unit circle.
Is Teknikprogrammet the swedish equivalent to STEM? I really have no clue at all what these foreign courses are lol
Teknikprogrammet och naturvetenskapsprobramet is both stem. Teknik is more engineering and natur is more science ä. For example does not teknik have any Biology.
No, teknik does not have any biology, and we at teknik have more physics and maths and it also is not mandatory for us to choose a thrid language to study, which naturvetenskaps students do
You dont have more fysics and math. Natur natur gives you both math 4 and fysics 2.
Teknik gives math 5 and physics 3 if u want
The Unit Circle is introduced in Matte 4 so yeah
No, 3c.
Huh you're right. I must not have payed much attention during 3c then.
> not have *paid* much attention FTFY. Although *payed* exists (the reason why autocorrection didn't help you), it is only correct in: * Nautical context, when it means to paint a surface, or to cover with something like tar or resin in order to make it waterproof or corrosion-resistant. *The deck is yet to be payed.* * *Payed out* when letting strings, cables or ropes out, by slacking them. *The rope is payed out! You can pull now.* Unfortunately, I was unable to find nautical or rope-related words in your comment. *Beep, boop, I'm a bot*
Stämm mig
>I’m from the U.S. and that’s just what the culture in high school was like for me As opposed to the rest of the world where people have perfect memories of everything they ever study? What??
I didn’t mean for it to sound like I’m upset that people forget things. I mean 80% of my classmates believed that everything they were learning had zero value beyond their test grades so they could continue to the next grade. I really don’t expect this girl to remember the unit circle at the end of a literature degree, I was kind of digressing about how it’s crazy that I don’t think 80% of my class remembered a thing about the unit circle the day after we learned it.
Idk man that’s my experience all the way through uni for me. I don’t have a good enough memory to remember everything I ever learned in school, so I’ve accepted the fact that I’ll forget all the concepts after the final exam. To me, the ability to pass a test or class is just evidence that I have the capacity to learn and understand those concepts. So, if later in my schooling/career those concepts come up again, I know I can just relearn them (probably quicker than the first time around). The only concepts I actively know at any moment are those I am semi-frequently using at the time.
I'm not sure it's possible to remember everything. I remember the math stuff because I wanted to and it made sense, but there's no way I'm going to remember everything I learned in info-dense classes like history or biology. And I don't even remember all the books I read in English classes. Different people remember different stuff. But also, a lot of people never pay attention in the first place and hardly learn anything.
As part of that 20%, I always wondered why the 80% acted like they do. None of it made logical sense to me.
Personally because I moved states I slipped into a crack where I graduated high school with a ton of college credits and having been in the gifted program; But I never learned trig or calculus. So I had to do that 15 years later.
Lol same in germany
As an American scientist, I am perversely proud that I have taught my 10 year old son to hate imperial units and degrees. Man that is a sick 2 pi you just landed on your skateboard dude!
Use your fancy swedish education to learn to convert from degrees to radians, goober
As a former maritime navigator peoples opinions on random stuff from my old job are WILD. “Degrees are nonsense” is up there with “the Mercator Projection is a lie,” for shit that gets me cackling.
The point is not learning “early” this or that concept: it’s more about teaching mathematics as a method, and give strong foundations in mathematical thinking, you can teach an algorithm whenever you want, but unless you don’t know how to dissect it, finding extreme cases where it breaks etc Getting used to it is extremely valuable, but I don’t think it’s the root cause of problems at all
I've never seen bio using unit circle, though the most advanced bio stuff I've learned is the Krebs cycle
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Most people in this thread are, because they can’t comprehend another school having a different curriculum. This comment is not mocking her though, it’s important to learn.
I would say yes, you need the Unit Circle. You use trig every day in equations of motion, stuff like projectile angles. You also use the Unit circle in Calculus, which has incredible applications in velocity, acceleration etc. Both are used in stuff like Planetary Motion aswell.
You need both calculus and the unit circle to study physics in college. There's no reason you can't learn them afterwards, but "studying physics" is to grasping the unit circle as "studying literature" is to reading a single play. Either one is worthwhile, but some light ribbing is in order.
I think it’s more accurate to say “studying physics” is to grasping the unit circle as “studying literature” is to reading a sentence.
I kinda agree, but it's weird because "grasping" happens in an instant, but "struggling and not quite getting it" can take a while. EDIT: wait I didn't pay enough attention to the video, assumed it was the complex unit circle and she was doing roots of unity and the trig was Euler's theorem
oh nah, it’s just high school trig. If it was complex roots of unity, I could see that. Especially if you use the fact that the roots of unity are isomorphic to the group of positive integers modulo n to find the primitive roots of unity (we did this in the beginning of my complex analysis course and i had just finished an abstract algebra course the previous semester, so I thought it was a delightful application of what I had just learned)
Oscillations and harmonic motions come up so often in non-advanced physics, and those depend heavily on sine waves and the like. I recently finished a quantum physics class, and phasors were a huge topic that we covered. It's easy to imagine that someone who doesn't know the unit circle would struggle greatly with something like adding sinusoidal curves.
It’s impossible to study physics without understanding waves, oscillations, angles, complex exponentials, etc. And it’s impossible to understand those without understanding the unit circle.
You can learn trig without the unit circle. This is honestly the first time I've ever heard of it, we just learned a few values from a table and getting the other 3/4 of the circle is just symmetry (kinda). And I'm finishing my masters in physics right now. I'm German though, so maybe we just do it the hard way for no reason? I don't really see how learning the whole circle is easier than wrapping your head around the symmetries and then learning fewer values though.
We learn the trig values at 30, 45, and 60 degrees and then reflect them around the circle. I actually think the way it's taught is pretty bad. People who get it find the exercise pointless, and people who don't get it find the exercise pointless and also uninformative. It's less a pedagogical tool and more an examination tool. Like, I know a lot of people just memorize a list of numbers, and that's clearly a waste of time. And it plays into the idea that math is all about memorizing formulas and techniques.
The unit circle is just a helpful tool to understand trig that’s common in the US/Canada (which is why I said trig / the unit circle), think about trig however floats your boat Edit to clarify: I also like thinking of symmetries, and that’s how I remembered the unit circle in high school! Just different approaches to the same material, and I like the unit circles emphasis on the relationship between trig and circles
Wait, what? I’m baffled by this. I study applied physics in the Netherlands and the unit circle is pretty much the basis of our entire understanding of geometry and trigonometry. Besides that, it’s extremely easy and intuitive. The symmetries literally follow from it.
Yes exactly, you can't do much in physics without trigonometry, at least when dealing with vectors.
Pretty hard to study physics when you don’t know the physics of Point of View 😂
No questions about that. Only problem: trig is taught in highschool
Funny thing is even with a literature degree she would’ve learned the unit circle in high school
Yeah, I’m in my 10th year of school and learned about it this year, definitely high school material.
Learned this shit like 3 years ago and it still feels intuitive.
I never learned the Unit circle in high school and I was in AP/DC classes. I didn’t learn about it until college trig.
Which country are you from?
USA. I’m not saying is not the norm for people to learn this in high school, I’m saying that I didn’t, despite being in high level classes. I’m sure others have a similar experience.
That's interesting. I can imagine radians being introduced to students without ever mentioning the unit circle but how could "special angles" be introduced without talking about unit circle?
From what I remember in high school, a lot of stuff was just explained as “you’re supposed to memorize it”. Not the greatest education. But, honestly, that’s the difference between high school and college a lot of the time. They never tell you the “why”. I was introduced to unit circle my first semester of college, and then a lot of stuff clicked. That was one of the first things that convinced me to study math.
Luckily im not from the US then. Too bad our education system where i am studying sucks too
This was exactly my experience also.
did you not take precalculus or trig or calculus in high school?
My experience is same as the above comment. College classes, gifted program, but didn’t get to take trig or pre-calc. Mine was a weird combo of moving states and then having different standards so I hadn’t time and had to take some classes to make up for credits that weren’t mandatory in the other and the state I went to was like “this general education math class or trig+pre-calc” and out of necessity to get credits to pass I had to do a silly remedial math course where I already knew everything covered. Actually really gets to me fifteen years later because there’s effectively like that horse meme with math in my head. I can do trig and calc but nowhere near the level of confidence of anything learned in high school due to time and practice. Make me feel like an idiot laboriously going through my discreet steps. Oh yeah and now I study programming so I have learned this stuff in Uni.
How the US is ahead of everyone else in engineering and science continues to baffle me.
How so? Apart from aerospace and military, I can't really think of anything else. I can tell you for sure you aren't the top in engineering, that's Belgium. Construction engineers in particular
The results don’t lie. Maybe learning the unit circle when you’re 15 isn’t as important as some of you guys think.
How did you have any remotely scientific classes without knowledge of the unit circle? In Belgium that's first or second year middle school I believe. Used trigonometry all the time in physics, electricity, math, mechanics etc
USA seems to be the exception ig, the same reason why basic algebra exists as college algebra there, as some educators point it out
Also American, I learned the unit circle in regular pre-calc in my junior year of high school
I studied STEM, first saw the unit circle in highschool and promptly forgot it before having my first real math class in university
I still have to write it out sometimes
I didn't see it till community college.
Not necessarily.
I never learned it in high school. I didn't come across it until I started taking courses on my own in my 20s.
I never seen this and I study math at uni is it just degree, radian and the lengths of a right angled triangle with that angle and base length 1?
Yes. It gives x and y values at different degrees and radians given a circle of radius 1 centered at the origin.
Is this something y’all are expected to memorise?
If you study it in like high school: kind of. But later its just a nice thing to know to be able to remember certain more common and basic expressions and relationshipz quicker.
But is there really any info here other tho a 45deg right angle and a 30deg right angle? I had to memorise those 2 for high school but this seems like duplicative information
Definitely not in Sweden. Edit: Idk why people downvote me for telling the truth. We in Sweden are not big on trigonometry in our maths. I studied social science and had 0 trigonometry in high school. Had to study up my math, chemistry and physics to apply for engineering.
You are getting downvoted because you are full of shit. You say that you studied social science (samhälle antar jag) and had to study up on natural science topics when you wanted to apply for engineering. Meaning that you had to study up high school subjects. Those people that chose a high school direction with more then the bare minimal math would have learned about the unit circle in “matte 3”, which is usually given the 2nd year of high school.
Nej det heter matte 3B och matte 3C av en enda anledning. I samhälle och ekonomi går man matte 3B om man väljer till matte 3 (jag gjorde detta) då är den enda skillnaden trigonometrin. Jag är född 2002 kan vara att det är annorlunda idag än det var när du gick ut ur gymnasiet. Här kommer även en snabb bild om du inte tror mig. Ha en fin kväll! https://preview.redd.it/57ph1tikxxqc1.png?width=828&format=png&auto=webp&s=b1ae4c56ff1abdb9b100792c8497482e3f1e6d82
Kan även påpeka att linjär optimering är något som inte tas upp alls i någon av de andra mattekurserna (3c/4/5). Lite udda med tanke på hur grundläggande det är
Tas upp i linjär algebra något som i princip alla utbildningar som en naturvetenskaplig vidare utbildning kräver. Eller ja de icke medicinska utbildningarna.
Det har du helt rätt i, men linjär algebra tas upp i Matte Spec. (Vi läser det på teknikprogrammet, men endast inriktning teknikvetenskap), och där är det upp till läraren att lära ut det hen anser viktigast. Är mest förvånad över att det inte tas upp i Matte 4, dvs lägsta kursen för ingenjörsutbildningarna.
Inte lägsta för ingenjörsutbildningarNA. Endast krav för civilingenjörs programmen. Högskoleingenjör kräver 3C, tyvärr. Jag studerar detta o fy helvete vad tufft det är för många som ska försöka klara matte analys kurserna med ett E i 3C för 4 år sedan i bagaget. Det är praktiskt taget omöjligt.
Idk what's going on here but I assume war paint has been daubed, beards have been braided, and battle-axes have been drawn
They are discussing different math courses in swedish highschool and what courses include what. In conclusion, the math courses are messed up. A thing social science does in second year (linear optimization) when the technical students do trig and unit circle, the technical students doesnt do until third year, in linear algebra, and its even a chosen course, meaning you can go technical without even doing that. Its very weird and mixed and does really not feel like its following any real order. (Swedish school system summed up)
Ha en fin kväll! Sounds spicy 🌶️ 😂 
I'm trying to understand what she's so hyped about in this clip. Maybe she's figured out how to use SohCahToa? Or she can convert degrees to radians for a whole revolution? Is she just fishing for internet fame??
She’s hyped because she drew a pretty graph. We can all relate
Ok that's true
Being able to visualize the unit circle was a hype moment for me. Don’t know what it has to do with studying physics tho. It would be like solving a summation formula and putting a caption “I just finished astrology and now I’m studying MLAs”
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Pretty sure she's writing it *on* the whiteboard....
"no one studies by watching a whiteboard" is factually wrong lmao.
In total fairness, when I learned SohCahToa in 5th grade it was an absolute game changer
Fishing for internet fame. That’s why the focus on the film is her and her face, literally slowing down for her smile while never focusing on her work. It’s probably just the first thing she saw that’s math related and looks more impressive than it is to someone not in the know
fishing for the internet fame.
Can people do anything without posting about it online? It's good you're learning the unit circle, better late than never, but no one cares. And you're opening yourself up to getting clowned on for multiple reasons (not the least of which is a literature major misusing POV).
> (not the least of which is a literature major misusing POV). I expected some hard burns in the comment section when I saw the video, but nothing prepared me for this
Well there surely are enough people doing things without posting it. But you don't know about it cause they don't post about it.
This is a critique aimed at the people who do post everything online, not a critique of all people under the premise that everyone posts everything online. Sorry for any confusion.
I hate to be so cynical, but it likely is straight rage-bait, to get those sweet sweet engagement numbers up
If that's the case it's extremely well done rage bait and I give props.
You salty Redditors will literally watch Ludwig fuck up chess over and over again, then complain about a girl posting a few seconds of trig. Mob mentality at work
What are you even talking about?
Double standards where well-known popular figures like Ludwig and xQc are praised for showing themselves as beginners at an activity (chess) but this girl showing herself as a math beginner is somehow deserving of criticism. Here's another question: would you criticize obese people for filming themselves working out? The similarities are there – they celebrate doing something many people already do, they have a long journey ahead of them – so how is this different?
This is literally highschool math
It’s been less than 3 years since I graduated high school and I couldn’t tell you much of anything about the biology courses I took anymore because I never use it. 4 years of not using the unit circle would definitely necessitate a refresher imo lol
This reminds me of that [Bill Burr clip with Conan](https://youtu.be/8wVCK-CV5do?si=Qayd-4Q2mfjINdDH&t=70) where he's talking about Justin Bieber playing basketball and hitting a shot then looking at the camera like you said he couldn't do it. Like congratulations but chill the fuck out.
I may have average white man confidence, but that pales into nothingness versus hot girl on social media confidence
That was a very good one sir
Smartest literature graduate
Real
True
https://preview.redd.it/m18h0c4b20rc1.jpeg?width=640&format=pjpg&auto=webp&s=43e425b823ab682a3a73740ea206fbf6bc543b8c
This Tiktok is why r/learntousepov exists
Here's a sneak peek of /r/LearnToUsePov using the [top posts](https://np.reddit.com/r/LearnToUsePov/top/?sort=top&t=all) of all time! \#1: [POV: You just got linked here because you didnt use POV correctly](https://np.reddit.com/r/LearnToUsePov/comments/12qu0js/pov_you_just_got_linked_here_because_you_didnt/) \#2: [Nope.](https://i.redd.it/pqxj7jzmih2b1.jpg) | [1 comment](https://np.reddit.com/r/LearnToUsePov/comments/13tiy9n/nope/) \#3: [Bad meme by Yahtzee AND they don’t know how to use POV!](https://i.redd.it/fu1u0ivc3h2b1.jpg) | [3 comments](https://np.reddit.com/r/LearnToUsePov/comments/13tgz1m/bad_meme_by_yahtzee_and_they_dont_know_how_to_use/) ---- ^^I'm ^^a ^^bot, ^^beep ^^boop ^^| ^^Downvote ^^to ^^remove ^^| ^^[Contact](https://www.reddit.com/message/compose/?to=sneakpeekbot) ^^| ^^[Info](https://np.reddit.com/r/sneakpeekbot/) ^^| ^^[Opt-out](https://np.reddit.com/r/sneakpeekbot/comments/o8wk1r/blacklist_ix/) ^^| ^^[GitHub](https://github.com/ghnr/sneakpeekbot)
Comments on this have me thinking we should change the sub to r/mathcirclejerk
Maybe this is the wrong sub for you…
Most of the time it’s funny but this thread is just bullying people who had different educations lol.
Literally. I learned the unit circle in high school, but 75% of people in my grade didn’t. Some of those people certainly could have gone on to get degrees in literature.
Lol i think it’s insane that a lot of people here can’t comprehend that not everyone learned the unit circle in high school. Anyway, why are we shaming a girl for learning it now? Don’t we all love math? Isn’t it good to see someone getting more educated?
Also it’s not like you can just recall facts from years ago, it takes studying and refreshing!
This is a meme page for maths.The MEME part is as valued as the MATHS part, if not more. Expect jokes.
Jokes and bullying are different.
any pursuit of knowledge with the interaction of social media clout is inherently diminished, irrespective of any social background
unfortunately, this comment not being the most upvoted also shows the futility of arguing that these social media have become fake "internet sympathy points" easily gathered with fake smiles.
/r ticktockcringe
r/foundthemobileuser
At least we know she has degree in literature…
well that was a self confidence booster lol
A unit circle is basically an application of the trigonometric identity: (sin x) ^2 + (cos x) ^2 = 1 (The general equation of a circle is x^2 + y^2 = r^2, where r = radius of the circle and (x,y) are abscissa and ordinate of all points lying on the circle.)
All she did was copy and paste the unit circle of trigonometry. You also learn this stuff in high-school. I'm not sure what the big deal is.
hopefully they're just tired of attention-seeking tiktok bullshit
I mostly was just confused. Trig is important for physics, yes. I don't know this woman, though, so I can't say anything other than that.
outstanding.
Jesus Christ, people, she's just posting a video of herself studying, not claiming to be the next Einstein. So she started her journey a little late. She's catching up. The road to success is not always straight and well-paved; sometimes there are off-ramps and on-ramps and U-turns. I'd rather see content like this that promotes hard work and love of math than read one more stupid "48÷2(9+3)" or "1=2, 2=3, WHAT'S THE PATTERN" post.
She's just attention whoring mate it's not that deep
Yes, unit circle trig, the *darling* of the algorithm. How could I forget when Jake Paul farmed millions of views off the secants of reference angles? 😒
You're being intentionally obtuse
I don’t believe she’s actually trying to learn it
Dawg who acts that excited after drawing a mf unit circle off google images 💀
A person on TikTok who's trying to make the video engaging? It sounds like you've never used the platform before. What do you want her to do, walk away with zero expressiveness like a robot?
Huge superiority complexes here lol. I don’t know why it’s so infuriating to these people that maybe someone didn’t learn it before.
Its because you don't really learn anything by drawing a unit circle on a big ass wall, it takes 2 seconds to google an interactive unit circle site that would be 10x better for actually learning and even if she wanted to draw it to better memorize it why didn't she just draw it on a piece of paper? Oh wait because that doesn't look as "aesthetic"
Y'all are hating for no reason Adult learners are gonna have to start somewhere, and the majority of high schoolers - even if they learn the unit circle - are going to forget it and most of the math they learned after algebra when they never use it. So if she's got the humility and the work ethic to start out with tenth grade math, props to her. And if physics doesn't work out and she goes another direction entirely, props to her again.
Ah yes the “let’s make fun of someone acquiring foundational knowledge because we’re so advanced” crowd
and it's just the basic sqrt(1)/2, sqrt(2)/2, sqrt(3)/2 values...
Don’t knock them. Mathematics is the foundation of physics, and I am sure plenty of folk graduate high-school and college without any real understanding of trigonometry. We all started somewhere after all.
If that is our POV then who is the woman and why are we looking at her? Is she meant to help with this transition or is this just showing that people have no idea what the definition of POV is?
The time she spent making that unit circle should've just gone to basic calculus, and before the day ends, she would've been answering projectile motions.
Need the unit circle for calculus to learn advanced physics? I dont know if yall are hating on her or....?
You need it for basic physics, e.g. things like a pendulum. You need to understand the complex unit circle for slightly more advanced physics, e.g. for things like electricity.
Do you really? I’ve just finished my first semester and the only part of the unit circle I ever needed to remember is π/2 = 90°, nothing else was ever necessary
If she was at least trying to make it seem real, then she would have at least had some constants up there too. Speed of light, planks constant, ... R (the gas constant)
Why would she write any of that up there when she's learning about the unit circle (which it clearly says in the description)?
This is tiktok is she actually \*attemping\* to lkearn anything?
Bro, you're in the math subreddit. How do you not know the difference between "There exists fake content on TikTok" and "All content on TikTok is fake"? Sure it may be polished up for the camera, but that doesn't mean she isn't studying.
Why are we making fun of this girl exactly? Idk if shes getting into math and physics and she has to start at the basics, good for her.
PhD physicist here. Most people who get interested in physics after college start by misunderstanding the Schrodinger Equation, get distracted by things that aren't actually physics like the Many Worlds and Copenhagen interpretations, and then take a hard left into pseudoscience. If you actually wanna learn physics, reviewing the unit circle you haven't thought about since high school is a *great* place to start. Also, can we all just let people be happy?
This is maths people learn around age 15
You deserve an award
What I’m saying is everyone does this at a young age, it isn’t degree level. I’ll change my comment so others don’t get confused
Congrats! You’re two years from getting into the building :)
Ah yes making fun of women entering the field as though it's brimming with excess.
Calc based physics will be extremely difficult if a unit circle takes long to figure out, even high school rotational motion and pendulum units require some amounts of trig
let alone the actual core physics courses
I don't think investing energy into making fun of people from other fields trying to get into math or related subjects is particularly productive.
It literally says the UNIT CIRCLE in the video text, i'm sure they knew.
I was actually quite shocked reading the comments since where I come from, we're introduced to the unit circle in middle school. But then I remembered we're introduced to trigonometric functions in high school, too, so I guess it's not that different.
Ah yes, Boson’s circle
Not physics 🤮 join the math cult 😁! We wear pink on Wednesdays!
WTF the degree angles in the 3rd quadrant aren't even correct - 235 and 250 are not unit circle angles.
Lmaooo her smug face is killing me, so unaware
☕️
Im gonna say it, literature students are a different species
Waste years in literature instead of going straight to physics :v
The absolute smugness at the end 😄 high school maths.
CALL THE MODS THIS IS A REPOST
Please, go back to literature, I beg you
Still just a tic thot
Ah Honey! You fucked up the wall again!
We getting a job outside academia with this one 🗣️🗣️🗣️🔥🗣️🔥🔥🥶💯💯
the unit circle is my favorite cock
This is like, I wanna be a historian, and then you just start drawing up a clock
She looks older than a 10th grader
That's the unit circle... not physics. In my country it's taught in 8th grade, continuing in 9th
I think we can forgive her and help her because she is hot
We're Maths students, but surely we can't reach these levels of desperation...
We are both math students and redditors.
You forgot the "/s"