How to Graph Any Polar Curves: Cardioid Example r = 1 + cos(theta)

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  • เผยแพร่เมื่อ 18 ม.ค. 2025

ความคิดเห็น • 43

  • @nebulas7404
    @nebulas7404 ปีที่แล้ว +45

    Oh my god, that’s so easy. I have been looking for a hood method to graph polar graphs for a week and this explains it perfectly, excellent work

    • @GlassofNumbers
      @GlassofNumbers  ปีที่แล้ว +1

      Thank you! So good to hear you like the video 😁 please help me share it with others 👍

  • @shishirallu3439
    @shishirallu3439 2 ปีที่แล้ว +27

    Its so nice of you to explain this in such a simple way. The method is interesting and not lucid like the tabular format of r and theta.

    • @GlassofNumbers
      @GlassofNumbers  2 ปีที่แล้ว +1

      Yes, this way is not as straightforward as the table, but it's faster and more fun! Thank you for your comment 😁

  • @3rdDegree_
    @3rdDegree_ ปีที่แล้ว +2

    Oh wow, I really like this explanation, I think I'll send it to my tutoring students when the unit comes up. Thanks!

  • @brosunlimited8458
    @brosunlimited8458 8 หลายเดือนก่อน +1

    Watched like 15 videos and this is the best. Thanks brutha

    • @GlassofNumbers
      @GlassofNumbers  8 หลายเดือนก่อน

      Great to hear that! Please help me share this video with others 😁

  • @arshamshayan
    @arshamshayan ปีที่แล้ว +5

    oh, that's cool. The symbol theta does confuse me a little but I think from this video I understand it as more of a plotting value like X in a quadratic graph for example

    • @GlassofNumbers
      @GlassofNumbers  ปีที่แล้ว +1

      Yeah, it's basically graphing polar curves by plotting points, but instead of plotting a few points, we use the graph of y = 1 + cos(x) to get the points so that we can use them to graph the polar curve r = 1 + cos(theta).

  • @zianiera
    @zianiera 11 หลายเดือนก่อน +1

    Great clarification.Thanks

    • @GlassofNumbers
      @GlassofNumbers  11 หลายเดือนก่อน +1

      Thank you for your comment! Please help me share the video 😁👍

  • @elizabethmedina1960
    @elizabethmedina1960 6 หลายเดือนก่อน +1

    thank you! great explanation

    • @GlassofNumbers
      @GlassofNumbers  6 หลายเดือนก่อน +1

      Thank you for the comment! Please help others by sharing this video 😁

  • @Uniqueearning-os7dk
    @Uniqueearning-os7dk ปีที่แล้ว +1

    Very good information please keep it ❤❤❤❤

    • @GlassofNumbers
      @GlassofNumbers  ปีที่แล้ว

      Thank you!! Please help me share this video!

  • @Ravikumar-wy2dj
    @Ravikumar-wy2dj 3 ปีที่แล้ว +2

    Nice and quick explanation! Thanks :)

    • @GlassofNumbers
      @GlassofNumbers  3 ปีที่แล้ว +1

      Thank you! Please share my video to others! 😁

  • @eleeeeeee
    @eleeeeeee 2 ปีที่แล้ว +3

    This is just the video I’m looking for!thank you!

    • @GlassofNumbers
      @GlassofNumbers  ปีที่แล้ว

      Great! Glad it helps! Please help me share it with others 😁👍

  • @Tuxitdtid
    @Tuxitdtid ปีที่แล้ว +1

    Thank you 😊😊

    • @GlassofNumbers
      @GlassofNumbers  ปีที่แล้ว

      Glad you like the video! Please help me share the video with others 😁👍

  • @AdithyaM-uo2pg
    @AdithyaM-uo2pg ปีที่แล้ว +1

    Awesome! Thx :)

    • @GlassofNumbers
      @GlassofNumbers  ปีที่แล้ว

      It's great that you like my video! Please help me share it!!

  • @mohammadrezajavadi3498
    @mohammadrezajavadi3498 11 หลายเดือนก่อน +1

    Very good explanantion

  • @shashankst8728
    @shashankst8728 3 ปีที่แล้ว +2

    great explanation bro

    • @GlassofNumbers
      @GlassofNumbers  3 ปีที่แล้ว +2

      Thank you! Glad you like this video! Please share it with others! 😁

  • @Pavan_Gaonkar
    @Pavan_Gaonkar 2 ปีที่แล้ว +1

    This is beautiful. I immediately hit the subscribe buttion

  • @juandaviduribe8267
    @juandaviduribe8267 ปีที่แล้ว +2

    I find this the most intuitive way to plot polar graphs, but I still dont understand what to do when r is negative. An example with regular cosine or its double angle would be greate

    • @GlassofNumbers
      @GlassofNumbers  ปีที่แล้ว

      Yea, I agree it's most intuitive! When r is negative, we plot the points in the opposite quadrant of the angle theta. For example, if the point that we want to plot is (-2, 3pi/4), we plot the point in the fourth quadrant since the terminal side of 3pi/4 is im the second quadrant.

  • @zaynjarallah
    @zaynjarallah 3 ปีที่แล้ว +1

    You are awesome, thanks.

  • @omerkumbasar5402
    @omerkumbasar5402 2 ปีที่แล้ว +1

    great job! thank you

    • @GlassofNumbers
      @GlassofNumbers  2 ปีที่แล้ว

      Thank you! Please share the video with others 😁👍

  • @lucasalckmin2727
    @lucasalckmin2727 หลายเดือนก่อน +1

    why I only discovered your channel at the end of calculus 3

    • @GlassofNumbers
      @GlassofNumbers  หลายเดือนก่อน +1

      Haha, we often find ourselves finally understand something way after we take a class

  • @halaanbar-ko1ez
    @halaanbar-ko1ez ปีที่แล้ว +1

    brilliant

    • @GlassofNumbers
      @GlassofNumbers  ปีที่แล้ว

      Thank you! Please help me share this video with others 😁👍

  • @magicfigures
    @magicfigures 21 วันที่ผ่านมา +1

    Magic squares, cubes and tesseracts in polar system - these solutions are completely new in mathematics. Problem is very complicated and complex. Please see homepage number-galaxy.

  • @bruhmaster4207
    @bruhmaster4207 2 ปีที่แล้ว +1

    I ❤ cardioids