Rectangular coordinate vs polar coordinate (the formulas you need)

This tutorial covers the formulas to convert a point between a rectangular and a polar coordinate system. You will learn the polar coordinate system in trigonometry or precalculus. And polar coordinate system will show up again in Calculus 2. Subscribe to ‪@bprpcalculusbasics‬ for more calculus tutorials.
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[@Dalton1294]

I remember doing this in pre-calc when I was a senior in high school. I also remember for a homework assignment we had to convert polar equations to rectangular form and one equation was r=2sin(3θ), no one could convert this one

[@gdlorenzodm5664]

Hey BPRP, where's that video of yours talking about rectangular vs cylindrical vs spherical?

[@bprpcalculusbasics]

It’s here th-cam.com/video/_7Gt3Lla1pk/w-d-xo.htmlsi=mTUgHgXSJbtTaBUt

[@nibeditasarkar143]

Anyways find polar form of 0
Also solve eqn a^a=a (I have written this about a 10 times)

[@jesusthroughmary]

Do you mean (0,0)?

[@nibeditasarkar143]

@@jesusthroughmary yeah!

[@jesusthroughmary]

@@nibeditasarkar143 He did another video where he mentioned that the polar form of x=0, y=0 is just r=0, it's just the single point of the origin, it doesn't matter what theta is if you don't actually move in any direction. Sort of how like from the North Pole your first step could be along any line of longitude.

[@abacaabaca8131]

Maybe this is quite interesting for me to know personally.
Last time I was trying to make a drawing/painting app and I tried to paint the area under the graph.
I use dx=0.1, then to calculate x, x=x+dx, then for y or f(x)=x*tan(angle).
But I notice that, it doesn't paint the area under the graph according to the angle. It only paint the area horizontally.
I thought maybe I could apply rotation matrix to the point. I e like this let Point ,P * rotation_matrix.
But this is little bit cumbersome. Also when angle is 0, y coordinate or f(x) shoots way to infinity.

[@cdkw2]

Thanks!

[@komalshah1535]

You are an excellent teacher. You should always try to speak slowly. In your excitement you sound inaudible. Many of students don't understand thing you are explaining.

[@bprpcalculusbasics]

Hi, thanks for your nice comment and feedback. Could you please give me the timestamp of where you think I went too fast in the video so I can reflect? Thanks.

[@sohidulislam6020]

It's all good for me

[@RadChromeDude]

there's subtitles?

[@komalshah1535]

@@bprpcalculusbasics I can't pinpoint exact timestamps. Unfortunately almost entire video is very difficult to comprehend even for native English speakers. Apart from your excellent channel. I recommend prime Newton's channel. You should try to speak like him. Very calm and relaxed. Again this is my feedback based on my experience with my students. They your channel. You have made calculus fun and interesting. One more suggestion is if possible try to seek help from speech therapist.

[@savitatawade2403]

​@@komalshah1535 I'm not a native speaker and my English is not that good, but I'm able to understand everything he says
maybe turn on subtitles?

[@abbas_oso]

great, but how to find theta for a given value of x,y without using a calculator?

[@savitatawade2403]

use inverse tangent of the slope

[@abbas_oso]

@@savitatawade2403
I know but how ? the triangle method doesn't work every time, there is some values that's can't be found in this method without using a calculator.

[@savitatawade2403]

@@abbas_oso yea ik many angles cannot be found using triangles, are you an engineer?

[@abbas_oso]

@@savitatawade2403
kind of, I am still studying i just finished my first year at electrical engineering college, and I want to master these basic stuff so i don't have to suffer from them later.

[@savitatawade2403]

@@abbas_oso as you are an engineer, you can use one of these two methods, which you unlock when you start engineering:
(1) The Fundamental theorem of Engineering:(caution, only works for small angles) given the slope in very small, we can say that slope of the line is equal to the ratio of tan, i.e., if tanx= a , a

[@shivankshrivastav]

Oh hi! Bprp❤

[@krzysztofs.8409]

Ok, But when r is 0, then theta = ???

[@bprpcalculusbasics]

If r=0, then you get the origin. And theta doesn’t matter.

[@krzysztofs.8409]

@@bprpcalculusbasics ok, but how to calculate, for example, the Laplacian when
r = 0 ?