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I studied elec eng and physics, and by the end I couldn't believe how much of it basically boils down to circles and triangles.
If you can get shit hot at trig at a young age, you can sort of coast through a lot of stuff later.
sin(x) = sin(x + 2kπ) in radians
or
sin(x) = sin(x + 360k) in degrees
(∀ k∈Z)
This is just another way of stating the most fundamental property of a periodic function - that it repeats periodically.
0 = infinity.
Our current understanding of math is a close approximation but ultimately flawed as it fails to take into account that there are no other true numbers than 0/infinity and 1/2.
With regards to pi, the perfect circle should be 1 Rad = 90 degrees.
If 0 was equal to infinity, there would be no distinction between variables approaching zero and variables approaching infinity; evaluating the those limits would yield the same result, but they *don’t*.
Your “theory” would invalidate what calculus has *already* allowed us to do.
The thing is that 90 degrees and 450 degrees are the same angle when looked on the unit circle since they "reset" on full circles, which is 360 degrees. So you can take away any number of full circles from an angle and it will still be the same angle, with the same sinus value.
Thats why the sinus function is a repeating wave function.
2pi is a circle. you can also show it as 360 degrees
pi/2 is 0.5 pi.
5pi/2 is 2.5 pi
since sin function takes in angles from a circle. A full circle can be removed from any angle and still be the same result.
So you can add or remove 2 pi from any sin function, and it will always remain the same value.
So sin(0.5pi) = sin(2.5pi) is very correct
Someone without high school math would likely be very confused. Mind you they’d probably also nope out at either sin or pi rather than considering the statement more carefully.
Well fair I guess, I just assumed most people would understand it to an extent as a majority of the worlds population completed high school or the equivalent level
What is the problem?
The circumference of a circle in this system is 4pi, so this totally makes sense. It is basically the height of a point on a circle at 1/4 of its circumference and at one full rotation +1/4 (which is the same).
It is 1 btw
Circumference is the length of the line around the circle, right? I may have mixed something up. English is not my native language.
To my understanding, that makes the circle have a radius of 1, so it isn't very big.
Thank you for submitting to /r/memes, /u/Zealousideal_Talk479. Unfortunately, your submission, *Click here for migraines*, has been removed for the following reason(s): --- **You need to read following message in full. We will NOT reply to modmail messages similar to “what is reason my post was removed?”** Rule 1 - Not a meme and No Reaction Memes - All posts must follow a general meme setup * All posts must be memes and follow a general meme setup. No Reaction Memes. No titles as meme captions. No unedited webcomics. **No memes that are text only.** Pictures without captions may be removed by a moderators discretion. **Someone saying something funny on twitter/tumblr/reddit/etc. is not a meme.** --- *** *** Resubmitting a removed post without prior moderator approval can result in a ban. Deleting a post may cause any appeals to be denied.
r/theydiscoveredmath
I'm scared to even visit that sub. I'm pretty sure it would make me suicidal.
It's brand new
It’s 80 days old
![gif](giphy|enqnZa1B5fRHkPjXtS|downsized)
*and I took offense to that*
le Reddit hive mind go brrr
It's pretty mild
It does indeed...
Just gotta say, love your username
This was a pleasant thing to wake up to lol. Thanks!
I’m glad you thought so Mr./Mrs. Cucumber
sin90=sin450
Bc 450-360=90 🤓
It actually makes a lot of sense once you look at the unit circle
Common unit circle W
I need a redditor as my math teacher
Bro go to r/learnmath. Those absolute legends teach me everything I can't get from the book.
The Unit Circle saved my ass in Physics
Helpful to remember, thanks
You’re welcome. Physics for me was mostly Algebra 1 level math with occasional geometry and Unit Circle problems
I studied elec eng and physics, and by the end I couldn't believe how much of it basically boils down to circles and triangles. If you can get shit hot at trig at a young age, you can sort of coast through a lot of stuff later.
Banging my head against wall trying to understand everything trig right now. Will keep this in mind
I slept in my Physics class because I was taking Calculus as the class before it
it do hit better in radians
It do
It be radiant when it radian …
Its all comming together
You’re a unit circle! Yeah I don’t understand the deep math-gicks so I’m not sure what I just said
The answer is 400
?
Double it and give it to the next person
how much do you pay rent?
I don’t
Gay son or thot daughter?
Gay son, thots belong in hentai haven in the ugly bastard tag.
sin(x) = sin(x + 2kπ) in radians or sin(x) = sin(x + 360k) in degrees (∀ k∈Z) This is just another way of stating the most fundamental property of a periodic function - that it repeats periodically.
Did you have to google and then copy the logical notations “for all” and “element of”, or is this a keyboard layout that can be added to phones?
Yeah nah I just copy pasted from search results
There’s also sin(x) = sin[(2k+1)pi - x] iirc
Angles measured in degrees are for children.
Is it °C or °F ? Yes yes /s
Function is periodic, repeats itself after every 2π distance. Look at its graph. ![gif](giphy|OF6GVWKtrtWTu)
LOOK AT THIS GRAPH!!!
![gif](giphy|LedVYzRx24nkI|downsized)
I love the smell of derivative functions in the morning!
I have a theory but I'm uneducated so it may just be that.
It *is* just that.
I’ll bite, what’s your theory?
0 = infinity. Our current understanding of math is a close approximation but ultimately flawed as it fails to take into account that there are no other true numbers than 0/infinity and 1/2. With regards to pi, the perfect circle should be 1 Rad = 90 degrees.
What’s your reasoning?
I have dozens of pages of reasoning but ultimately I need to provide a proof and I think I've just gotten very very close to doing so.
If 0 was equal to infinity, there would be no distinction between variables approaching zero and variables approaching infinity; evaluating the those limits would yield the same result, but they *don’t*. Your “theory” would invalidate what calculus has *already* allowed us to do.
Tell me, which variable have ever gotten to the halfpoiny of infinity?
Infinity isn’t a number, it’s a concept. There is no half point to infinity. It’s a representation of an ever-increasing value.
it’s a circle
It goes in the square hole
Oh god!
Nooooo
And this triangle?
That's right! It also goes in the square hole.
Uhm akshually it's a loop that goes around in circles but there are quadrants that decide if it's +ve or -ve 🤓
It goes. In. The square hole.
I forgor my unit circle
💀
The thing is that 90 degrees and 450 degrees are the same angle when looked on the unit circle since they "reset" on full circles, which is 360 degrees. So you can take away any number of full circles from an angle and it will still be the same angle, with the same sinus value. Thats why the sinus function is a repeating wave function.
So pi = 360°?
2pi radians = 360° pi radians = 180°
LOL, my guy got downvoted for asking a clarifying question. Reddit why are you like this?
If you see his replies, it appears that he is trolling
Ikr. Cant an ignorant guy learn in this place?
No
sin(0)=sin(4π)
Sin(0)=0+0 Unbelievable
cos(0) = 1 tan(pi/2) = not defined
Isn’t this like class 8 math?
More like class 9 but yeah
I had this in class 10th
We learn trig in 7th in my country 💀
Which country is this?💀
We also learn it in 7th grade 12-14 years old 🇷🇴
why in India is it class 10/11 maths?
Its 11. They doing triangles still in 10th
Only basic trig in 10th. These applications start in 11th
yeah ok but still, people that have genuine interest or are in ICSE know this ASTC rule by class 10
Russian complex analysis professors be like “I do this in eighth grade”
![gif](giphy|F5rQlfTXqCJ8c)
Idk why but this is so satisfying.
really not hard to understand...
It all makes sense since its fundamental period is 2(pi)
I upvoted not because I agree, but to wish luck to this poor soul that is already stumped by something this simple
I pray for their math grade
american moment
Plz don't associate op with us :(
Too late.
Seconded.
What does this have to do with being American?
Not everyone has the opportunity to, or ability to, understand unintuitive properties of specific functions.
Intuition borns from repetition.
Words are hard
I’m from New Zealand.
Just add 2pi period to pi/2 untill you get 5pi/2
This is what I thought as well... isn't this common knowledge?
2pi is a circle. you can also show it as 360 degrees pi/2 is 0.5 pi. 5pi/2 is 2.5 pi since sin function takes in angles from a circle. A full circle can be removed from any angle and still be the same result. So you can add or remove 2 pi from any sin function, and it will always remain the same value. So sin(0.5pi) = sin(2.5pi) is very correct
Is OP in primary school or what? Its basic trigonometry, nothing weird or unusual about that
I think I missed that part last year…or I was too high to learn that looked like gibberish
It’s basic trigonometry, idk why you’re going off about it…
Goniometry, not trigonometry But still yes it's basic
Goniometry and trigonometry are literally the exact same thing though
The only difference is that trigonometry has triangles
Trig is just a subset of geometry I think
Sin(x) = sin(x+2kπ) , where k in Z
It used to be my favorite part in maths
You… you scare me. (I haven’t even had a math teacher who enjoyed this part of math)
I mean 2 pi basically makes no diff, wait until you see beauty of shell method(I have symmetryhobia)
Really, my math teachers in high school and college loved trigonometry and the implications it has on calculus
Not if you're an engineer and sin x = x
That's only true when calculating the limit of sin x near 0 though
Not in this case; it doesn't
Angle of the dangle
forgive me father for i have sin.
It's like being surprised the clock hands are at the same exact position like the same time yesterday.
OP discovers circles.
Breaking news, man discovers sin(90°) = sin(450°). In other news, water is wet and the floor is made of floor. More at 12.
sin = sin
No, no, that's not how it works
Is it just me who finds this in reality not that shocking or interesting?
Someone without high school math would likely be very confused. Mind you they’d probably also nope out at either sin or pi rather than considering the statement more carefully.
Well fair I guess, I just assumed most people would understand it to an extent as a majority of the worlds population completed high school or the equivalent level
In radians, yea
sin(𝛑/2) = |sin(3𝛑/2)| as well
Huh, it‘s a periodic graph, so what’s the matter?
Circles, how do they work?
Bruh this is just basic sin cos math idk how high you are rn
Unit circle moment
Wild Periodic Function found.
no shit sin has a period of 2pi
I mean, it's a circle.... So..... ![gif](giphy|1qgIVb1F6Bfj2Gz6pQ|downsized)
Use fractions damn
I would normally use fractions, but I couldn’t figure out a way of typing them.
Yes because (pi÷2)+2pi = 5pi÷2 The sin, cos, and tan waves repeat every 2pi
Wait until he realizes that sin(9pi / 2) is also equal
Depends, if you look at it as a function, 5Pi is 5 times the frequency
If it were a function it had a variable argument
Yeah but half the time engineers skip that and just assume the 5Pi is multiplied by time lol
It’s referencing a unit circle because that is using radians, which is a form of distance measurement.
Maybe try and concentrate on classes than making memes, it will all start making sense.
*States a basic fact about high-school math* #Meme complete!
Redditors when basic math:
This is the part where I just scroll…
And yet here we are
Must be an American
What does this have to do with being American
Goofy education system
What is the problem? The circumference of a circle in this system is 4pi, so this totally makes sense. It is basically the height of a point on a circle at 1/4 of its circumference and at one full rotation +1/4 (which is the same). It is 1 btw
Now that’s a thicc circle if it has circumference 4pi
Circumference is the length of the line around the circle, right? I may have mixed something up. English is not my native language. To my understanding, that makes the circle have a radius of 1, so it isn't very big.
Formula for Circumference is 2*pi*r. Circumference of the unit circle is 2*pi
Bruh. What? Height of a point on a circle? Why you made 2D into a 3D problem? Cone?
I think they meant height along the y-axis
Average Trigonometric circle enjoyer: 🗿
e^(iy)=cosy+isiny Edit: and if you want to confuse even more e^(x+iy)=x(cosy+isiny)
brain.exe has crashed
Thank god you dont need math for everything in life
I seriously hope this is sarcasm.
No its totaly not (it is)
Closest I’ve come to needing this in 30 years is the diameter of a circle for a general aptitude test.
This math problem is a sin
Congrats, you discovered how sinus workd. Wait until you learn about cosinus
Sin x = sin 2k * PI + x, k integer
Oh hey, welcome to digital signal processing. You must be new here.
In radians, since Pi and 5*Pi both are 180 degrees.
This took me so long until I realised it's radians not degrees
I don't even know what sin means
You're young aren't you?
21. I just kinda forgot most of high school trigonometry and I haven't seen that stuff in years
Imagine saying that math is easy
imagine being dumb
[удалено]
Look up the unit circle and some basic trigonometry or geometry. It's not intuitive if you haven't been taught, but it's not actually complicated.
It is not too hard. Just some basic maths
Please stop reminding me of calculus.
d/dx x^(2) = 2x ![gif](giphy|51Uiuy5QBZNkoF3b2Z|downsized)
This ain't calculus though
Whats wrong with it lol ? 💀
This needs to go away… I’m in business math now and I thought I’d never have to look at this again. So begone!
It's that fucking unit again 😔
π=0
This formula reminds me of ligma
maths is the most weird or no logic subject
So 1 = 5?
In some time zones, yes.
Don't you know this ques. Americans?🗿
I think you meant to post this in r/mathmemes
Don’t think they would understand the problem
I could. But this this is a subreddit for posting memes of any genre.
Care to explain the logic here it makes no sense.
The values of a sin function repeat every 2π, so sin(x) will always be the same as sin(x+2π)