How to Graph Any Polar Curves: Cardioid Example r = 1 + cos(theta)
In this video, we talk about the technique of graphing polar curves. We graph a cardioid r = 1 + cos(theta) as an example to demonstrate the technique. With this technique, we can basically graph any common polar curves without having to make a table and plot points.
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#Polar #Calculus #PolarCurves
Пікірлер: 39
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
10 ай бұрын
Thank you! So good to hear you like the video 😁 please help me share it with others 👍
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
2 жыл бұрын
Yes, this way is not as straightforward as the table, but it's faster and more fun! Thank you for your comment 😁
thank you! great explanation
@GlassofNumbers
25 күн бұрын
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Oh wow, I really like this explanation, I think I'll send it to my tutoring students when the unit comes up. Thanks!
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
Жыл бұрын
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).
Watched like 15 videos and this is the best. Thanks brutha
@GlassofNumbers
2 ай бұрын
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Nice and quick explanation! Thanks :)
@GlassofNumbers
2 жыл бұрын
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This is just the video I’m looking for!thank you!
@GlassofNumbers
Жыл бұрын
Great! Glad it helps! Please help me share it with others 😁👍
You are awesome, thanks.
@GlassofNumbers
2 жыл бұрын
Thank you! 😁
Great clarification.Thanks
@GlassofNumbers
5 ай бұрын
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great job! thank you
@GlassofNumbers
Жыл бұрын
Thank you! Please share the video with others 😁👍
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
8 ай бұрын
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.
This is beautiful. I immediately hit the subscribe buttion
@GlassofNumbers
2 жыл бұрын
Thank you for subscribing!!
Awesome! Thx :)
@GlassofNumbers
10 ай бұрын
It's great that you like my video! Please help me share it!!
Very good information please keep it ❤❤❤❤
@GlassofNumbers
8 ай бұрын
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great explanation bro
@GlassofNumbers
2 жыл бұрын
Thank you! Glad you like this video! Please share it with others! 😁
Thank you 😊😊
@GlassofNumbers
11 ай бұрын
Glad you like the video! Please help me share the video with others 😁👍
Very good explanantion
@GlassofNumbers
5 ай бұрын
Glad you like it!
brilliant
@GlassofNumbers
Жыл бұрын
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I ❤ cardioids
@GlassofNumbers
Жыл бұрын
Yes, cardioids are great!