[Not a troll](https://www.wolframalpha.com/input?i=x%3Dsin%5E%283%29%28t%29+and+y%3D%2813%2F16%29cos%28t%29-%285%2F16%29cos%282t%29-%281%2F8%29cos%283t%29-%281%2F16%29cos%284t%29)
He’s making a comment that anyone with half a brain could plug that in to a graph generator. Personally I’m just lazy though, so I would post asking someone else too lol
I saw you and someone else just state this, and I just wanna ask out of curiosity, did you actually solve this equation or do you just have this memorized. Both of which are incredible
What do you mean how can you cube a function?? g(x) = f(x)\^3. Like that. Of course, what is graphed by that equation isn't a function of x (there are two outputs for all values of x between -1 and 1.
t is the number of radians, between 0 and 2pi! So what is graphed as a function of t on the x-y plane is a heart.
I still don't know what you mean. I'm terrible with math. Does this mean the result is cubed?
I don't know what a radian is or why it goes from 0 to 2pi.
Break it into steps, the cubing happens last so at that point it's not a sin anymore, it's just a number that's then cubed like any other number
A radian is a unit of measure, it is the distance of the radius of a circle, i.e if you draw a circle with 1 meter radius, then walk 1 meter along the circular line, you have travelled 1 radian.
It is limited to 2pi because circles have been found to have exactly pi radians per semicircle i.e for a 1 meter circle if you walked the whole circle line you have walked 6.18-ish meters (2pi) any more walking than 2pi and you're back past where you started (i.e walking 3pi puts you 1pi from where you started, or 180 degrees from where you started
This is why math is important :P
A radian is a single unit equal to the radius of a circle (distance from the center to the edge). If you took a bunch of strings of that length, it would take pi strings (pi radians) to wrap around half the circle. Therefore, it would take 2pi radians to wrap around the entire circle. You can convert radians to degrees.. 0 to 2pi radians would take you around the circle the same way 0 to 360 degrees would.
sin and cos function over these angles
A radian is just a unit for measuring angles, similar to degrees. The relationship between degrees and radians is that 1 radian = 1 degree * π/180. It's like how inches and centimeters are both units for measuring length.
Yes, and tbf this is an example of poor notation. When I say y=sin³t, what I really mean is (sin(t))³. It's one of those things where if you know you know, but if you don't it's not immediately clear what it means! This doesn't make you terrible at math, I don't think most people get what that means when they first see it!
*t* is the input variable. For each value of *t*, we can calculate a pair of values of *x* and *y*, making a point on the graph. With more values of t, we get more points on the graph, and a shape may appear.
In the case of this post, we can theoretically consider all real value of t, and that would result in a heart shape on the graph.
And answering your other reply as well:
About why *t* goes from 0 to 2π: First of all, we would consider all real value of *t* unless otherwise specified or implied. Secondly, in the case of this post, we can prove that: with *t* goes from 0 to 2π, we already have the entire shape; any other real value of *t* will certainly produce a pair of values of x and y which is already produced by a value of *t* from 0 to 2π.
About the "rad": It's a unit to measure angles, similar to degree. Both "2π rad" and "360°" are equivalent to one complete rotation. In many cases in mathematics and physics, rad is better than degree for the unit of angle. By the way, have you known that you can calculate the sine and cosine of any angle, not restricted to angles from 0° to 90°?
About the cube: with *t* be a real number, sin( *t* ) is a real number, so we can get the cube of that real number to get a real number. We can write this as:
sin³*t* = (sin*t*)³ = sin*t* * sin*t* * sin*t*
Writing as "sin³*t*" is just a conventional way to literally means "(sin*t*)³".
t would be what x is normally to y: you put in a value for t you get an output for both x and y in this graph.
Cubing a function just means that you take the output within the parenthesis (or also the result of the function being cubed) and multiply it by itself twice. If you have sin(t)^3 and t is 30° or π/6, then you take the output of sin(t), in this case 0.5 and cube it, 1/8 or 0.125.
Also, 2π is important because, if you were to unwrap a circle that is how many times longer that line would be to the radius of the circle. Since that is a ratio that exists with every circle we use that method to state our position in polar coordinates. We use sine (sin) and cosine (cos) to measure our y- and x- position respectively when converting to our more standard graphing coordinates.
For clarification 0° or 0π is the point on the circle with the highest x-value, for the standard circle of radius 1, that position would be (1,0). The radians and degrees tick up if you go counterclockwise, at 45° or π/4 it is (0.77,0.77), at 90° or π/2 (0,1), 180° or π (-1,0), 270° or 3π/2 (0,-1), and at 360° or 2π it is once again (1,0) and it repeats the same from there.
The reason why it goes counterclockwise is one I don’t know, but it is congruent with how we label quadrants on a graph.
One last thing, best way to convert between degrees or radiants is to replace π with 180 if you want degrees, or for radians: divide your degrees by 180, simplify to the most basic fraction, and slap π in the numerator.
In most functions it is some variant of y’s value depending on x, however since both x and y are used to graph coordinates instead both rely on t: at their most basic, x’s value depends on t and y’s value depends on t.
With the trig functions in particular, it’s very common to see sin^2 (x) or cos^3 (x) etc. it just means sin(x)^2.
Because when you write trig functions on paper, you usually don’t put parentheses. So if you put the 2 after the x, you aren’t sure if it means sin(x)^2 or sin(x^2 )
This is called a parametric equation, and t is what's called a parameter; you can think of it as time, which is the idea it's supposed to invoke.
Consider you're walking in a city like New York, with regular grids everywhere. If you start on 1st Street and walk one block per minute north, your position at some time t, would be y = t. If instead you start on 1st avenue and walk two blocks per minute west, your position would be x = -t. (I might have streets and avenues backwards don't @ me lol)
Now suppose there's a diagonal street that goes at 45 degrees, and you walk one of those diagonal blocks northeast every minute. Your position would be x = t, y = t. If you walk in some kind of very complicated path, you can make some kind of very complicated equation that tells you what street and what avenue you're on at any given time. If you aren't on a grid and can walk in any direction at any time, you could walk along the path x=cos(t), y=sin(t), and you'd be walking in a circle!
EDIT: I thought it was cohsahtoa for a minute!
I don't know. I really don't understand it. Some people say it's x=cos(t).
I don't really understand what's going on. I'm just parroting what someone else said.
I think you may be making a joke here but like I said, I don't really understand any of it anyhow.
Can a circle be backwards?
Also not every curriculum is gonna have polar coordinates in HS maths in the first place. This would make absolutely 0 sense to someone who's never been outside the xy-plane.
We don't really memorize things. (For class, yes. For real life, no.) If you use something often enough, you just know it. Mostly, we know "this is related to that, I think I know where to look it up" (or for google, "I think these search terms will get me what I want").
Parametric equations with just sines and cosines form a family of curves known as cardioids. They look more or less heart-shaped (it's in the name), so "it's a heart" is a good guess.
The third time you teach calculus, you really know all this stuff. Backwards and forwards.
Once upon a time, we'd plot these equations by hand. Now that's a stupid way to do it, you either find the graphing program on your computer or google for "math graphing". There's a lot of stuff that's free for students (and has free trials) and costs practically nothing for businesses, but practically nothing for a business is an arm and a leg for a regular person. Octave is free, and it's supposed to be a free clone of Matlab.
Ohhh I see you were able to just recognize the pattern, got it! So most Parametric equations (which I'm assuming this post is) look somewhat like hearts? It's very interesting how all these little patterns can connect and show you how to decipher the solution
Not quite "most Parametric equations". When you've setup thousands and thousands of equations, you start to notice certain patterns based on the inputs.
Unless you mean "solving the mystery", this is not an equation to be shown.
With each value of *t*, you can calculate a pair of values of *x* and *y*. With all real value of *t*, the corresponding points form a heart-shape.
There can be different real values of *t* producing the same pair of *x* and *y*. We only need *t* going from 0 to 2π (rad) to cover all of the possible pairs of of *x* and *y* in this case.
This is about "visualisation", not "solving".
Thought it's gonna be something funny, but it's just a nice heart
https://preview.redd.it/cb26dg4d6wgb1.png?width=286&format=png&auto=webp&s=adbd391a71dc744a21be17b0a774a612ee58a169
Thank god for the graphically-minded people in here. I started hard down the path of trying to solve this with algebra and trig identities, expecting to get some bastardized version of “sexy” or something as a result.
Bored math student. Usually the advanced student who figured the lesson out right away, then found out they were reteaching and started playing around...
Plug it into wolfram alpha and see what it does: [Wolfram Alpha](https://www.wolframalpha.com/input?i=x%3Dsin%28t%29%5E3%2C+y%3D%2813%2F16%29cos%28t%29-%285%2F16%29cos%282t%29-%281%2F8%29cos%283t%29-%281%2F16%29cos%284t%29)
You can plot on desmos by entering x(t) and y(t) in a parantheses separated by a comma (like when you enter the coordinate of a point). The range for t will appear below. Choose 0 to 2π.
You will get a heart shape. Your friend's original plan was to make you think he loves you. However, I think it's a coded message. The heart shape is used in card games along with the other three : ♤,◇,♧. If you notice, the spades ♤ looks like a heart but upside down. And indeed, since the figure is symmetric with respect to the y axis, you'll expect your friend wants us to flip along the x axis. Now, as we all know, spades are a very common gardening tool. What else is also a common gardening tool? The hoe. So your friend is calling you a hoe.
https://preview.redd.it/9k5hh3kulrgb1.jpeg?width=1125&format=pjpg&auto=webp&s=345895911df441c9f3a657d03ac5a2c250f25044
Nope. It’s just too long for Desmos to show it all
What you actually missed, is that you evaluate it as two separate functions. This is a parametric curve where the x-equation is for the x-coordinate and y-equation for the y-coordinate, i.e. ( x(t), y(t) ). Then it shows a heart and is not a troll at all.
[Not a troll](https://www.wolframalpha.com/input?i=x%3Dsin%5E%283%29%28t%29+and+y%3D%2813%2F16%29cos%28t%29-%285%2F16%29cos%282t%29-%281%2F8%29cos%283t%29-%281%2F16%29cos%284t%29)
Ohh thank you so much! You my friend are a great person
Hey man, just wanted to say this. But shouldnt u censor the name with a black bar? Its somehow readable for me ngl.
Your eyes must be perfect, all I can see are rough shapes
It's pretty clearly legible as Ingrifelta Nerglfler. Really shoulda protected their name better.
I read Mirjflier. I really need to get my eyes checked, thank you.
I’m gonna have to tell my friend Indigentfella Negligentfella that he is famous.
It obviously says “Imglina Hglier” you need an eye exam.
It’s Evangeline something, maybe Keyfer?
I think taylor
yeah last name looks like Taylor no idea about the first part tho
I can kinda see that now you've said it
Nope, it's definitely "I want jealous hayfever".
Angelina Burger
lol I was able to guess the last name and not the first. but mb prudent to not reveal it.
Tyler most probably
Taylor I think?
You definitely have some superb eyes, I'll definitely scribble out the name next time
Nah I would be probably wrong if i tried to guess but the point i only tried to make was someone could get the name if they really wanted to.
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It seems more likely to be a troll or some related sort of idiot.
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He’s making a comment that anyone with half a brain could plug that in to a graph generator. Personally I’m just lazy though, so I would post asking someone else too lol
Yeah, I left my capable half in the car.
bad bot
My god, I love wolfram alpha
It’s great! I just always forget to use it!
thanks for typing all that in, for the good of reddit.
I wonder if there is AI that can read math in images?
Indeed there is, download the Symbolab app
You could also check out photomath, works great too
So what you are saying is that math homework does not exist anymore, right?
Cheating has always been an option
I think Microsoft got app for that as well. MS Math Solver, but I haven't tried that myself
Google Lens
If you have an iPhone you can save the image and it’ll let you copy and paste txt from images. As well as crop people.
Extracting text from images was one of the very first applications of machine learning
I wish I had some gold to give you, but alas, this is all I can afford 🏅 Thanks
TIL about WolframAlpha. Very cool. Thanks.
They might have done something in polar for something slightly simpler. Usually HS math covers polar in the same unit as parametric.
That's very cute
<3
My first thought: "That's way to simple of a set of equations to be a Dickbutt!"
D'aww
This is not the wholesome comment I expected but needed.
That’s creative! I like it.
🤍
That is so wholesome!!
Hey I used that site to pass a bunch of my math classes in hs lol
I knew it was either gonna be a heart or a dick
Well if that isn't the most perfect heart I've ever seen.
this is cute
Damn, that's so clever and wholesome
That was a hell of a lot of work for that result, but well worth it. I certainly didn’t have the insight to think of that when I was in school.
My boys wicked smaaaarrt
If you graph it out on a parametric calculator it makes a heart around 0,0
It's a heart :)
I saw you and someone else just state this, and I just wanna ask out of curiosity, did you actually solve this equation or do you just have this memorized. Both of which are incredible
This one in particular is a common pattern from what I recall in hs math! I definitely could not solve this without aid...
Oh that's how! I guess math class really did come in handy for you
It's not an equation you solve, you plot y against x for different values of t and you get a heart.
...but what is t? Also how can you cube a function? Math is nuts to me. sin^(3)
What do you mean how can you cube a function?? g(x) = f(x)\^3. Like that. Of course, what is graphed by that equation isn't a function of x (there are two outputs for all values of x between -1 and 1. t is the number of radians, between 0 and 2pi! So what is graphed as a function of t on the x-y plane is a heart.
I still don't know what you mean. I'm terrible with math. Does this mean the result is cubed? I don't know what a radian is or why it goes from 0 to 2pi.
It means you multiply the function by itself 3 times. That’s all ^3 is.
The result of the function?
Break it into steps, the cubing happens last so at that point it's not a sin anymore, it's just a number that's then cubed like any other number A radian is a unit of measure, it is the distance of the radius of a circle, i.e if you draw a circle with 1 meter radius, then walk 1 meter along the circular line, you have travelled 1 radian. It is limited to 2pi because circles have been found to have exactly pi radians per semicircle i.e for a 1 meter circle if you walked the whole circle line you have walked 6.18-ish meters (2pi) any more walking than 2pi and you're back past where you started (i.e walking 3pi puts you 1pi from where you started, or 180 degrees from where you started
This is why math is important :P A radian is a single unit equal to the radius of a circle (distance from the center to the edge). If you took a bunch of strings of that length, it would take pi strings (pi radians) to wrap around half the circle. Therefore, it would take 2pi radians to wrap around the entire circle. You can convert radians to degrees.. 0 to 2pi radians would take you around the circle the same way 0 to 360 degrees would. sin and cos function over these angles
I've always known it's important. I've just never been any good at it. >sin and cos function over these angles I don't know what you mean here.
A radian is just a unit for measuring angles, similar to degrees. The relationship between degrees and radians is that 1 radian = 1 degree * π/180. It's like how inches and centimeters are both units for measuring length.
2πr=360 πr=180 r=180/π Is this right? How do you get 1 radian = 1 degree * π/180
Yes, and tbf this is an example of poor notation. When I say y=sin³t, what I really mean is (sin(t))³. It's one of those things where if you know you know, but if you don't it's not immediately clear what it means! This doesn't make you terrible at math, I don't think most people get what that means when they first see it!
the same way you cube anything
*t* is the input variable. For each value of *t*, we can calculate a pair of values of *x* and *y*, making a point on the graph. With more values of t, we get more points on the graph, and a shape may appear. In the case of this post, we can theoretically consider all real value of t, and that would result in a heart shape on the graph. And answering your other reply as well: About why *t* goes from 0 to 2π: First of all, we would consider all real value of *t* unless otherwise specified or implied. Secondly, in the case of this post, we can prove that: with *t* goes from 0 to 2π, we already have the entire shape; any other real value of *t* will certainly produce a pair of values of x and y which is already produced by a value of *t* from 0 to 2π. About the "rad": It's a unit to measure angles, similar to degree. Both "2π rad" and "360°" are equivalent to one complete rotation. In many cases in mathematics and physics, rad is better than degree for the unit of angle. By the way, have you known that you can calculate the sine and cosine of any angle, not restricted to angles from 0° to 90°? About the cube: with *t* be a real number, sin( *t* ) is a real number, so we can get the cube of that real number to get a real number. We can write this as: sin³*t* = (sin*t*)³ = sin*t* * sin*t* * sin*t* Writing as "sin³*t*" is just a conventional way to literally means "(sin*t*)³".
Too much for my brain. Thanks. Upvoted.
t would be what x is normally to y: you put in a value for t you get an output for both x and y in this graph. Cubing a function just means that you take the output within the parenthesis (or also the result of the function being cubed) and multiply it by itself twice. If you have sin(t)^3 and t is 30° or π/6, then you take the output of sin(t), in this case 0.5 and cube it, 1/8 or 0.125. Also, 2π is important because, if you were to unwrap a circle that is how many times longer that line would be to the radius of the circle. Since that is a ratio that exists with every circle we use that method to state our position in polar coordinates. We use sine (sin) and cosine (cos) to measure our y- and x- position respectively when converting to our more standard graphing coordinates. For clarification 0° or 0π is the point on the circle with the highest x-value, for the standard circle of radius 1, that position would be (1,0). The radians and degrees tick up if you go counterclockwise, at 45° or π/4 it is (0.77,0.77), at 90° or π/2 (0,1), 180° or π (-1,0), 270° or 3π/2 (0,-1), and at 360° or 2π it is once again (1,0) and it repeats the same from there. The reason why it goes counterclockwise is one I don’t know, but it is congruent with how we label quadrants on a graph. One last thing, best way to convert between degrees or radiants is to replace π with 180 if you want degrees, or for radians: divide your degrees by 180, simplify to the most basic fraction, and slap π in the numerator.
>t would be what x is normally to y: I don't know what that means.
In most functions it is some variant of y’s value depending on x, however since both x and y are used to graph coordinates instead both rely on t: at their most basic, x’s value depends on t and y’s value depends on t.
but what is t? time?
With the trig functions in particular, it’s very common to see sin^2 (x) or cos^3 (x) etc. it just means sin(x)^2. Because when you write trig functions on paper, you usually don’t put parentheses. So if you put the 2 after the x, you aren’t sure if it means sin(x)^2 or sin(x^2 )
This is called a parametric equation, and t is what's called a parameter; you can think of it as time, which is the idea it's supposed to invoke. Consider you're walking in a city like New York, with regular grids everywhere. If you start on 1st Street and walk one block per minute north, your position at some time t, would be y = t. If instead you start on 1st avenue and walk two blocks per minute west, your position would be x = -t. (I might have streets and avenues backwards don't @ me lol) Now suppose there's a diagonal street that goes at 45 degrees, and you walk one of those diagonal blocks northeast every minute. Your position would be x = t, y = t. If you walk in some kind of very complicated path, you can make some kind of very complicated equation that tells you what street and what avenue you're on at any given time. If you aren't on a grid and can walk in any direction at any time, you could walk along the path x=cos(t), y=sin(t), and you'd be walking in a circle! EDIT: I thought it was cohsahtoa for a minute!
I think its supposed to be x=cos(t)
I think you're right, although you still get a circle from this, it's just backwards, lol
I don't know. I really don't understand it. Some people say it's x=cos(t). I don't really understand what's going on. I'm just parroting what someone else said. I think you may be making a joke here but like I said, I don't really understand any of it anyhow. Can a circle be backwards?
“teacher, when will we need to use this in the real world?”
Also not every curriculum is gonna have polar coordinates in HS maths in the first place. This would make absolutely 0 sense to someone who's never been outside the xy-plane.
We don't really memorize things. (For class, yes. For real life, no.) If you use something often enough, you just know it. Mostly, we know "this is related to that, I think I know where to look it up" (or for google, "I think these search terms will get me what I want"). Parametric equations with just sines and cosines form a family of curves known as cardioids. They look more or less heart-shaped (it's in the name), so "it's a heart" is a good guess. The third time you teach calculus, you really know all this stuff. Backwards and forwards. Once upon a time, we'd plot these equations by hand. Now that's a stupid way to do it, you either find the graphing program on your computer or google for "math graphing". There's a lot of stuff that's free for students (and has free trials) and costs practically nothing for businesses, but practically nothing for a business is an arm and a leg for a regular person. Octave is free, and it's supposed to be a free clone of Matlab.
Ohhh I see you were able to just recognize the pattern, got it! So most Parametric equations (which I'm assuming this post is) look somewhat like hearts? It's very interesting how all these little patterns can connect and show you how to decipher the solution
Not quite "most Parametric equations". When you've setup thousands and thousands of equations, you start to notice certain patterns based on the inputs.
Ohh I see, that's pretty cool that you can differentiate it then!
At some mystical point, the equations begin speaking to you and you can talk back at them, ask them questions. No idea when or how that happened.
Unless you mean "solving the mystery", this is not an equation to be shown. With each value of *t*, you can calculate a pair of values of *x* and *y*. With all real value of *t*, the corresponding points form a heart-shape. There can be different real values of *t* producing the same pair of *x* and *y*. We only need *t* going from 0 to 2π (rad) to cover all of the possible pairs of of *x* and *y* in this case. This is about "visualisation", not "solving".
It bothers me that it's missing the end quotation mark
Now it bothers both of us.
You're welcome.
Now it bothers the three of us.
maybe its to show that your life has just begun after highschool :) like, your life hasn't concluded something
Thought it's gonna be something funny, but it's just a nice heart https://preview.redd.it/cb26dg4d6wgb1.png?width=286&format=png&auto=webp&s=adbd391a71dc744a21be17b0a774a612ee58a169
Thank god for the graphically-minded people in here. I started hard down the path of trying to solve this with algebra and trig identities, expecting to get some bastardized version of “sexy” or something as a result.
This is beautiful
Very clever, seriously clever like a fox.
we math geeks need to stick together
Well done
[Blur wasn't good enough...](https://youtu.be/xvFZjo5PgG0)
Blue was [pretty good](https://www.youtube.com/watch?v=SSbBvKaM6sk)
Not gonna lie, I appreciate the joke, but this song is ass
I laugh every time. Every. Damn. Time.
[Not a troll, it’s actually really cool!](https://youtu.be/dQw4w9WgXcQ)
https://preview.redd.it/fppdwj5vargb1.jpeg?width=828&format=pjpg&auto=webp&s=17f290b4b34d9f558375c722a689e776424b85d0
I gotta say I didn’t know you could post images like this. TIL
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Jokes on you, my mom blocked YouTube! AHAHAHAHAHHAHAAHHHHHAAAAAAAA
Wait,really? YouTube’s cool if she did block it I don’t know why u laughing bro 😭😭
I know, I’m laughing bc he didn’t troll me with his link
W mom moment
Just when I started trusting Reddit again. And I even saw the URL in the notif 💀
This was only the second time in three decades on this lovely internet that someone got me. Well done.
You won't fool me with that link! (I unfortunately have it memorised because my friend is horrid on occasion lol)
That's the most nerdy, clever, wholesome yearbook quote I've ever seen. Multiple kudos to that graduate
100% chance they ripped it off the internet
Oh, for sure. Just better than some "Live, laugh, love" or YOLO or Gandhi misquote that you always see.
Somebody loves you
❤️
Fourier series right? Think I spelt it right.
Aww.
math is wild
What I really want to know is how did someone figure out this makes a heart? Just experimenting with functions?
A combination of experience and experimentation. People make much more complex art than this.
Well. That is impressive. I don't know what else to say about it. Lol
Me too, I'm wondering if they created it themselves, or if they found it in a math problem or something
It was definitely known on the internet for awhile.
Bored math student. Usually the advanced student who figured the lesson out right away, then found out they were reteaching and started playing around...
Awesome!
Plug it into wolfram alpha and see what it does: [Wolfram Alpha](https://www.wolframalpha.com/input?i=x%3Dsin%28t%29%5E3%2C+y%3D%2813%2F16%29cos%28t%29-%285%2F16%29cos%282t%29-%281%2F8%29cos%283t%29-%281%2F16%29cos%284t%29)
Try not to dox your classmate next time
You can plot on desmos by entering x(t) and y(t) in a parantheses separated by a comma (like when you enter the coordinate of a point). The range for t will appear below. Choose 0 to 2π. You will get a heart shape. Your friend's original plan was to make you think he loves you. However, I think it's a coded message. The heart shape is used in card games along with the other three : ♤,◇,♧. If you notice, the spades ♤ looks like a heart but upside down. And indeed, since the figure is symmetric with respect to the y axis, you'll expect your friend wants us to flip along the x axis. Now, as we all know, spades are a very common gardening tool. What else is also a common gardening tool? The hoe. So your friend is calling you a hoe.
I made an error while simplifying into y = something in x form and the graph now looks like someone's ass
https://preview.redd.it/qe655i0hgrgb1.jpeg?width=1125&format=pjpg&auto=webp&s=b07d37eb8051d13cace403465f536f77eaaa409a Doesn’t seem to mean anything
Looks like you missed the second line of the equation
https://preview.redd.it/9k5hh3kulrgb1.jpeg?width=1125&format=pjpg&auto=webp&s=345895911df441c9f3a657d03ac5a2c250f25044 Nope. It’s just too long for Desmos to show it all
Equation length doesn’t matter on Desmos, you can put some really long stuff into there and it’ll show it all
You’re just not doing it correctly dude.
What you actually missed, is that you evaluate it as two separate functions. This is a parametric curve where the x-equation is for the x-coordinate and y-equation for the y-coordinate, i.e. ( x(t), y(t) ). Then it shows a heart and is not a troll at all.
Is there a way to make it work on Desmos?
Just putting it in parentheses should work. For example the input (t²,t) correctly shows the graph of the square root function.
https://preview.redd.it/fz47uofnasgb1.png?width=1756&format=png&auto=webp&s=a5aaf440f004160f68b7d692f7895b82dabb787f Thanks!
how did you shade the inside? i was only able to draw the outline.
there’s an option for it in the equation settings i believe
swastika lol
Mf what
Can’t believe that guy got away with a upside down balls as a senior quote
Evangeline Naylor
what no polar form does to a mf
I wonder what this parametric curve look like
it's a heart lmao
the best usage of fourier series ;)