Rectangular coordinate vs polar coordinate (the formulas you need)

Поділитися
Вставка
  • Опубліковано 17 гру 2024

КОМЕНТАРІ • 28

  • @Dalton1294
    @Dalton1294 6 місяців тому +3

    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
    @gdlorenzodm5664 6 місяців тому +5

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

    • @bprpcalculusbasics
      @bprpcalculusbasics  6 місяців тому

      It’s here ua-cam.com/video/_7Gt3Lla1pk/v-deo.htmlsi=mTUgHgXSJbtTaBUt

  • @KimiSchoolTime
    @KimiSchoolTime 26 днів тому +1

    thank you for saving me for my cal 3 final exam!

  • @nibeditasarkar143
    @nibeditasarkar143 6 місяців тому +2

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

    • @jesusthroughmary
      @jesusthroughmary 6 місяців тому

      Do you mean (0,0)?

    • @nibeditasarkar143
      @nibeditasarkar143 6 місяців тому

      @@jesusthroughmary yeah!

    • @jesusthroughmary
      @jesusthroughmary 6 місяців тому

      @@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
    @abacaabaca8131 6 місяців тому

    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
    @cdkw2 6 місяців тому +1

    Thanks!

  • @shivankshrivastava
    @shivankshrivastava 6 місяців тому +1

    Oh hi! Bprp❤

  • @abbas_oso
    @abbas_oso 6 місяців тому

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

    • @savitatawade2403
      @savitatawade2403 6 місяців тому

      use inverse tangent of the slope

    • @abbas_oso
      @abbas_oso 6 місяців тому

      @@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
      @savitatawade2403 6 місяців тому

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

    • @abbas_oso
      @abbas_oso 6 місяців тому

      @@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
      @savitatawade2403 6 місяців тому

      @@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

  • @komalshah1535
    @komalshah1535 6 місяців тому +7

    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
      @bprpcalculusbasics  6 місяців тому +4

      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
      @sohidulislam6020 6 місяців тому +4

      It's all good for me

    • @RadChromeDude
      @RadChromeDude 6 місяців тому +1

      there's subtitles?

    • @komalshah1535
      @komalshah1535 6 місяців тому +3

      @@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
      @savitatawade2403 6 місяців тому +2

      ​@@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?

  • @krzysztofs.8409
    @krzysztofs.8409 6 місяців тому +2

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

    • @bprpcalculusbasics
      @bprpcalculusbasics  6 місяців тому +3

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

    • @krzysztofs.8409
      @krzysztofs.8409 6 місяців тому

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