Polar Coordinates and Graphing Polar Equations

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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[@JoemyJoseph]

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.

[@learneasymathwithrafaqatal8375]

⁰

[@alex_lamarche]

There is a good chance most of what you learned came from that reading though... and then this video crystalized everything! :)

[@ignantxxxninja]

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.

[@marcisparcy5145]

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 🙏

[@minimidder2025]

Read this today in a book and my concepts weren't as crystal clear before this!! Thanks so much! ♡♡

[@fortuna5351]

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.

[@hannahlynn2495]

6:27 graphing polarequations

[@nelsondelarue6971]

cheers mate I needed this

[@kaylagaerte4229]

This makes sense?! You put my math teacher to shame

[@BaTmAn10714]

“I turned out ok.” 😂

[@luismartinez5598]

Debatable 😂

[@supremeleader9579]

Don’t ever disrespect our god like that again

[@asatan8557]

@@supremeleader9579 *Science Jesus

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@@supremeleader9579 allah is the only god did you understand

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@@blackeagle5392 Not everyone is Muslim. Although MLM, I don't think it is morally right for you to force your religion upon others.

[@CC-mk1sv]

Thank you! Very helpful. Was looking at other videos but they didn’t explain it as clearly

[@manusaini13]

This is so helpful. Highly recommended video to anybody reading this before watching.

[@nevis4567]

I'm glad you turned out ok Dave. Quite glad.

[@Persades1]

yooooo this was amazing, hoping to find the whole series

[@manikdas1429]

U channel is underrated... Ur videos is literally very useful for me Thanks for ur great work

[@bindassgirl6763]

This video is very helpful. Each & everything is explained very nicely . Thanks for such an amazing video ..😇

[@johncharles3907]

Great video, thanks a lot!

[@logicalconclusions7340]

Thanks for your explanation

[@yogeshkumawat6119]

You have done a great job here i appreciate your work 🥳🥳

[@mistadude]

I’m in calc 2 and I’ve NEVER leaned this thanks you so much

[@husseinsawad7826]

man you have saved my ❤️

[@WaseemAkram-wc6mf]

Sir thanks for this act of kindness , thats very easy methode to convay these concepts to us ....

[@kangzhang8740]

Yep, we are all here because test is tomorrow!

[@peterhuelsing8231]

Here for a test today😂

[@zilog1]

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!

[@m.padmanav3914]

Excellent video. Mindblowing explanation sir. 🙏🙏🤗🤗🥰🥰

[@samosa9488]

Good video !

[@arturoedwingallegossolis1890]

Thank you, sir!

[@ap9calop312]

it is really good

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Thank you

[@nashaldreipunzalan1605]

Thank you 😊

[@oxyqin3764]

“He he knows alot about all kinds of stuff! Ohh it’s Professor Dave Explains!”

[@mattjw16]

Don’t forget about the science stuff 😉

[@shivneshchand1014]

very nicely explained you understand the students you are professor in true sense

[@ashleyhuang388]

Thank u

[@esraa_ar1]

Thank you 🙏🙏

[@tejasgowdakr4700]

Thank god, knowing that you are ok . Love from INDIA

[@blaisooyono]

Thanks was so helpful👏👏👍

[@asimali5808]

thnks a lot

[@jackkahunalaguna13]

"And I turned out okay" Sure, professor Dave, sure

[@AlessandroZir]

how can anyone not LOVE you?!!

[@venkateswarlutgtgurajalasc7677]

Please make video on Fourier transform sir

[@itsfarhan5480]

Could u pls make videos on Argand plane and polar representation.

[@midhunsivadas3642]

Helpful🙏

[@bushraayman2587]

Asslam o alikum. Thank you professor Dava. Have a good day.

[@buzhetao6101]

Another Butterfly equation: r=(theta)•sin(theta)•cos(theta)

[@from8530]

Merci beaucoup sir❤

[@omarmohammed2936]

thanks a lot :)

[@octavylon9008]

very interesting thank you :))

[@tomaszwota1465]

Hah, I was just plotting a polar chart yesterday. Coincidence? I don't think so... *X-Files theme*

[@memory6058]

Thanks #lifesaver

[@cyruslogacho985]

I learned how to Convert polar to redtangular equation

[@user-fu2hj4ev5u]

It's good for me

[@ha-haxoxo2001]

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.

[@octavylon9008]

do ur own homework

[@WilliamQuinones]

@@octavylon9008 😂 dude straight copied the teacher's HW.

[@tGoldenPhoenix]

Done.

[@lux27.42]

can i have the answer for the last, sir ?

[@SaeedNeamati]

Dave, it seems that this video is not in the trigonometry playlist

[@hamzahassan9605]

How to determine the points we plug into the equation to make the graph ?

[@RadoHudran]

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

[@tonykipruto6839]

AND I TURNED OUT OK

[@zephyrleone1665]

Thank you calculus Jesus. ❤️

[@haider6919]

الف رحمه على روح اهلك

[@pulkit381]

Yup Finally I understand this although I know this 😂😂😂😂

[@ayushthakur229]

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

[@mosesgithuka2118]

❤

[@ckarcher4504]

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???

[@--9-b455]

ممكن تشرح عربي 😊

[@fan-gq8lj]

U legend

[@swervig5422]

Is the radius not 2??

[@designingworld6611]

how to add sub divide and multiple degree with out calculator

[@helphowdoinputusername3571]

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?

[@Wutheheooooo]

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

[@Wutheheooooo]

also for your question r² = 6rsin(theta) if you divide by r in both side you get r = 6 sin(theta) simple as that

[@marvinledona3627]

8:47 why did you multiply r sir

[@revolz9995]

12th grade physics has summoned me here

[@kwansikkim8712]

It would be a bit more helpful if you could indicate which axis is theta and r. Thanks for the video.

[@EmpyreanLightASMR]

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.

[@sajaali6671]

Add translation please 😭❤️

[@chariyamoniroth10c5]

Oh jesus what are you doin here

[@serbrad6426]

I read and understand at once, I watch videos I dont get sh1t.

[@moonknight3304]

Bro build like christ

[@permutationsaryan7723]

Can jesus explain Polar coordinates though? 🗿🗿

[@tanginamo]

sounds dead wtf