Polar Coordinates and Graphing Polar Equations
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- čas přidán 5. 08. 2024
- Everything we have done on the coordinate plane so far has been using rectangular coordinates. That's the x and y we are used to. But that's not the only coordinate system. We can also use polar coordinates, which graph points in terms of a radius, or distance from a pole, and theta, the angle associated with the point. This system is useful for graphing circles and other curved objects, so let's make sure we understand how to use these, as well as convert between polar and rectangular forms.
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OMG, how can you make something complicated feel so easy? Thank you. You know how many pages I read trying to understand that thing, I spent days reading and I learned nothing. 5 minutes of watching your videos made it crystal clear. Thank you very much, Genius.
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There is a good chance most of what you learned came from that reading though... and then this video crystalized everything! :)
I'm in a higher level math and just wanted to refresh my memory on this, and never have I've learned it like this with such simplicity. This is really good stuff here.
Mr. Dave I hope you know I’m happy you’re alive and decided to have this chanel . You have no idea if you wouldn’t have made this video. I would’ve been lost thank you 🙏
Just dropping by to say thanks, thanks a whole lot. I checked a lot of sources but none of them explained it as clearly as you did, with some of them straight up skipping things like graphing polar equations and/or turning from polar form to rectangular form.
This makes sense?! You put my math teacher to shame
Read this today in a book and my concepts weren't as crystal clear before this!! Thanks so much! ♡♡
“I turned out ok.” 😂
Debatable 😂
Don’t ever disrespect our god like that again
@@supremeleader9579 *Science Jesus
@@supremeleader9579 allah is the only god did you understand
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Thank you! Very helpful. Was looking at other videos but they didn’t explain it as clearly
6:27 graphing polarequations
cheers mate I needed this
This is so helpful. Highly recommended video to anybody reading this before watching.
I'm glad you turned out ok Dave. Quite glad.
yooooo this was amazing, hoping to find the whole series
Sir thanks for this act of kindness , thats very easy methode to convay these concepts to us ....
U channel is underrated... Ur videos is literally very useful for me Thanks for ur great work
This video is very helpful. Each & everything is explained very nicely .
Thanks for such an amazing video ..😇
I’m in calc 2 and I’ve NEVER leaned this thanks you so much
Great video, thanks a lot!
You have done a great job here i appreciate your work 🥳🥳
What i think is interesting is that those polar functions on the graphic calculator at the end looked kinda like Atomic orbitals. coincidence? I think not!
Thanks for your explanation
Excellent video.
Mindblowing explanation sir.
🙏🙏🤗🤗🥰🥰
“He he knows alot about all kinds of stuff! Ohh it’s Professor Dave Explains!”
Don’t forget about the science stuff 😉
Thank you, sir!
man you have saved my ❤️
Good video !
Thanks was so helpful👏👏👍
Thank you 😊
Could u pls make videos on Argand plane and polar representation.
Yep, we are all here because test is tomorrow!
Here for a test today😂
Thank you
it is really good
very nicely explained
you understand the students
you are professor in true sense
Thank you 🙏🙏
Merci beaucoup sir❤
Asslam o alikum. Thank you professor Dava. Have a good day.
"And I turned out okay"
Sure, professor Dave, sure
Helpful🙏
how can anyone not LOVE you?!!
Why i made graph of r=6sin(θ) has two circles? (when θ between 0 and 180，The circle is above the x-axis； while the circle is under the x-axis, θ is between 180 and 360) when i make graph by myself???
Is the solution to the very last quiz r=4sin(Theta) correct? Because I did follow the same methods and they aligned well enough for the first two steps, but I don't think the last step should show the X^2 as being unaffected with the removal of Y on the other side. I feel like the correct solution should be more like (X^2/Y) + Y = 4.
thnks a lot
Thank god, knowing that you are ok . Love from INDIA
Thank u
Please make video on Fourier transform sir
very interesting thank you :))
can i have the answer for the last, sir ?
how to add sub divide and multiple degree with out calculator
How to determine the points we plug into the equation to make the graph ?
In his video he took 0,30,45,60,90 degrees for θ since those are the most common angles.
Otherwise you can guess which will be most useful to you
Hah, I was just plotting a polar chart yesterday. Coincidence? I don't think so... *X-Files theme*
Dave, it seems that this video is not in the trigonometry playlist
Thanks #lifesaver
Another Butterfly equation: r=(theta)•sin(theta)•cos(theta)
It's good for me
thanks a lot :)
I learned how to Convert polar to redtangular equation
Is the radius not 2??
8:47 why did you multiply r sir
Done.
Can someone please explain why he can reduce r²=6r*sin(theta) to r=6sin(theta)?
This is a quadratic equation and normally you'd handle these by factoring. So why the deviation here?
why not? it's not about solving an equation but about change the equation in the way to get what we want. In fact, quadric equation required you to do that too, every equation do. You can do what ever you want as long as you do it in both side
also for your question
r² = 6rsin(theta)
if you divide by r in both side you get
r = 6 sin(theta)
simple as that
U legend
Hi there!
Can you help me with these awful problems?
And please, can you do several videos about these specifics sort of problems
r=2
r= 2 theta
r=sin theta
r=sin 3theta
r= sin 4theta
r=sin^2 2theta
r= 3(1 - cos theta)
r= 2 + cos theta
3= r cos (theta + pi/6)
Change the equation
{r^2 = sec 2 theta}
To Cartesian coordinates and sketch its graph.
Find all the points where these two curves intersect.
r= 4(1 + cos theta)
3= r (1 - cos theta)
Proof that the equation of the line
y = mx + b
is the equivalente to the equation
d/r = sin(theta - theta°)
Then find expressions for m and b in terms of d and theta° .
Give several values of n
r= sin (n theta)
Thanks a lot for read my comment and for you time.
do ur own homework
@@octavylon9008 😂 dude straight copied the teacher's HW.
AND I TURNED OUT OK
الف رحمه على روح اهلك
❤
Yup Finally I understand this although I know this 😂😂😂😂
acha hua bta dia bhai tune pr vh tera chacha hai na videshi hai usse hindi smjh nh aati so dude if uh know english then plss translate ur comment for him
12th grade physics has summoned me here
Thank you calculus Jesus. ❤️
It would be a bit more helpful if you could indicate which axis is theta and r. Thanks for the video.
theta isn't an axis, it's the angle. R isn't an axis either, it's the radius of the object being drawn, or the hypotenuse of, essentially, an invisible triangle you can draw.
ممكن تشرح عربي 😊
🎉
Add translation please 😭❤️
I read and understand at once, I watch videos I dont get sh1t.
Oh jesus what are you doin here
Bro build like christ
Can jesus explain Polar coordinates though? 🗿🗿
sounds dead wtf