How to convert rectangular coordinates to polar coordinates

How to convert rectangular coordinates to polar coordinates

[Hobbit]

Can you do some multivariable calculus problems?

[mjones]

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.

[Dalton]

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

[bigdog]

Yet another reason why radians are better...

...because nobody would react sneerfully to 7π/3.

[scarletwulfmusic]

Your videos are always convenient! I was just learning this in class and needed a review.

[xMnsterFrak]

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...

[simplyyummy]

Ur tha bestest teacher evr! Isn't it?

[StudyWithNika]

Looking forward for calc 3 material. Partial derivatives, double integrals etc.

[schaa]

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.

[Whateverbro]

Please do a video on complex number factorial

[ivanzaplatar]

Looks like a boss, teaches like a boss

[SergentThms]

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

[silviusarxive]

fast forward to midnight in EU as bprp shows up

[rafielmesaias]

In Complex numbers we must apply the Polar coordinates and the sign of the rectangulars determine the argument. Just one answer. Easier.

[cachamuertos]

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

[carlosmascarenhas]

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

[OriaPlay]

You should've use different diagrams to explain the concept and that would have been excellent 👌🏽

[YanLobianchi]

finally forwarding for the double integral

[dozog]

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.

[GIFPES]

Isn't the coordinate for "r" actually its projections on x and y???