How to convert rectangular coordinates to polar coordinates
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- Опубліковано 28 вер 2024
- How to convert rectangular coordinates to polar coordinates
How to prove from polar to rectangular: • How to convert polar c...
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420° blaze it
Yet another reason why radians are better...
...because nobody would react sneerfully to 7π/3.
bigdog41407 Blaze it.
After 420 blazing, I share 7 pies among two friends and I
How did you type pi into the youtube comments?
Copy-paste from character map, if you are on a PC.
dlevi67 thanks!
Can you do some multivariable calculus problems?
I've always taught my students that r = √(x² + y²) and θ = arctan(y / x) for x > 0 or θ = [arctan(y / x) + 180° or π] for x < 0. -r values or angles outside of the interval (-90°, 270°) can be adjusted accordingly. I've never thought before to fix θ = arctan(y / x) and to let r = -√(x² + y²) until now... I think I like my old way better, but that's why I watch... to consider alternate stuff and maybe learn a few things myself.
I think r is always positive since this r is a circle radian that always positive. The negative sign just depends on the angle size
fast forward to midnight in EU as bprp shows up
Looking forward for calc 3 material. Partial derivatives, double integrals etc.
good video but how do you describe points that are on the y-axis? e.g: the point (0,10) in rectangular would be (10,90°) in polar, but tan (theta) = 10/0 is causing some problems...
The formula breaks down so you just have to remember (write out the exception) that +x and 0y means theta is 90, or -x and 0y means theta is 270 (or -90 if you prefer). Notice if you were converting from polar back to rectangular the formula breaks down also at each axis.
bro 10/0 can be treated as infinity and inverse tangent of infinity is pi/2
Your videos are always convenient! I was just learning this in class and needed a review.
Love this channel lol
Hey dude i have a problem for you. Try to find tan (x/3) in terms of tan (x). The final solution has radicals with complex. Try to express it like that: cbrt (a+bi)=p+qi
Around 2:20. "We have a right angle. Isn't it".
I hear that a lot from not only this guy but a lot of native Chinese speakers.
Isn't it?
blackpenredpen . "Haven't we"
At 5:30 .. " it could also be minus 2, *couldn't* it "
finally forwarding for the double integral
Isn't the coordinate for "r" actually its projections on x and y???
Is it possible to convert coordinates in the imaginary plane to coordinates in the real plane?
I guess what I’m asking is is there a way to separate the real portion from the imaginary portion of a complex number?
yes. at least if i understand you correctly
AndDiracisHisProphet What would that be?
you get its angle, and then by doing the modulus of the complex number, you get the "r"
There are some videos on this channel where a difficult integral was "complexified" into a simpler complex integral and the answer to the original integral was just the real or the imaginary part of the complex function. The notation used was along the lines of f(x) = Real(g(z)) or f(x) = Im(g(z)). This is pretty straightforward when working out by hand. Note that a complex function is taking a 2-d input (a complex number with a real and imaginary part) and mapping it to a 2-d output (another complex number). If your complex number is in rectangular form, it's very easy: just look at only the x part of the domain and range. If your complex number is in trig or exponential form, then you just look at r*cos(theta).
Preheat oven to 420°. Insert dough. Bake. Eat. Enjoy. :)
Cool video
thanks for the help sir
All fun and and games until x approaches 0...
Theta is not more important. You just need to look in front of you to see what is in front of you. To see what is in front of you don't need to start looking in the x direction first and then turn your head to see what is in front of you. Just immediately look in the direction that you want or need to look so you don't get into a car accident or you don't hit somebody while you are in movement and I am not trying to be funny; I am serious.
Yay!!
I need to know how to write this in a graphing software: when I put (2, 60) into a polar graph it just shows it as a Cartesian coordinate anyway.
I love your accent
I remember doing this in a pre-calc class in high school and I still remember the formulas. Also we converted polar equations to rectangular equations. On a homework assignment, there was the following equation in polar form r=2sin3theta and no one could convert this equation to rectangular form
How do you even solve that? I have a calc 2 final tomorrow
@@sentientartificialintelligence I think the solution is sqrt(x^2+y^2)=6y/sqrt(x^2+y^2)-8y^3/(sqrt(x^2+y^2))^3 because sin(3θ)=3sin(θ)-4(sin(θ))^3
@@Dalton1294 how did you get that? I never learned that identity
Please do a video on complex number factorial
apparently winter has come to california
yup!
what is it? 10 degrees centigrate?
You know this sort of stuff is useful for if you want to make a game like tank io or whatever from scratch and you have tan() and atan2() and want the tanks to rotate but your working with 2D but you also don't necessarily want to bother with matrix transformations
or if you want to make a awesome spiral thats your favorite colors like my current profile photo as of the posting of this comment
Ur tha bestest teacher evr! Isn't it?
Bro 5 years ago 🤓. Bro now 🤓. Me 5 years ago 💩. Me now 🤓.
Fuck the maths! Where did you get that hoodie? I want one!!!!!
8:16 3 markers in one hand!!!!!!
I know you guys are back of me
R can't be negative its a distance.
iced hoody🥶
thank you
Thanks for this
In Complex numbers we must apply the Polar coordinates and the sign of the rectangulars determine the argument. Just one answer. Easier.
As it looks like physics, could u explain how to convert cylindric coordinates to spheric coordinates? I struggle when I have to differentiate the position(in spheric) because the position is only defined by 1 vector that depends both on 2 angles (colatitude and longitude) . How can u differentiate(to get the velocity) when the vector depends on 2 angles? Sorry if my message isn't understandable at all , I'm not an english-speaking people and I don't really know what are the mathematics words
What if there is a z coordinate given like x y and z coordinates are given and what if we want to convert them to polar coordinates
Looks like a boss, teaches like a boss
This video was very helpful!
Please make some videos about double integral
Help please integrate 1/(×+e^×) and (cos(×^2)/(×^2))
Please
plzzzz do a video on continuity
I don't get it how he got 60°?
Make a video changing y=f(x) to r= g(theta)
I should’ve went to you first, man!
Love your vids
Second☺
Thnx a ton