Introduction to polar coordinates

In this video we introduce polar coordinates, derive conversion formulas, and then try them out on a few examples. We also discuss the ways polar coordinates are not unique (i.e., that there are infinitely many polar coordinates that describe the same point in the plane).

[oldgraybeard]

I'm a visual person, and almost numbers blind. It took me an hour per page to read this information out of my text book. In ten minutes, you went to the point. Your visuals were neat, and visually literate. After watching your video, I was able to jump into working the problems in my text book; with confidence and understanding. Thank you!

[roseyzena]

That was fantastic! Great job communicating!

[resyarsunil]

Nice presentation nd teaching everything ...really nice...

[g.gardiner]

This is amazing! I was completely lost on how -r relates to the placement of P, but now it's all clear. Thanks so much!

[katherinekelm]

This is fantastic! Thank you for such clear explanations and wonderful visuals to match.

[ShrutiIyer]

Thank you so much! This has been super helpful!

[rkumaresh]

Polar coordinates are hard to understand and this video was simple to learn the basics. @8:37 when the arctan(2/5) is 0.381 which lies in the range of inverse tan i.e -pi/2 to pi/2 why would we have to go back and add pi to that.

[anasghaffar]

I wish I had found this video, the first time!

[lux.]

waw... thank you so much !!! love your visual explain.

[juromebey]

255 degrees should be 4pi/3 radians on your unit circle 1:13

[abcdef]

at 3:40 negative r
didt they already define r is always postive? like r^2 = x^2 + y^2, then please explain this when r= sin (theta) * sin (theta) this totally violates (r, theta)= (-r, theta+pi), i never seen any mathematicians who could explain this. or can they please expand number system to explain negative r, like they expaneded number system to complex number to satisfy x^2 + 1 =0

[shamimhussain]

Using which application you write mathematical terms?

[garymartin]

Now an introduction to polar bear coordinates. Wherever there's a polar bear, my butt is vectoring with great magnitude pi radians relative to it.

[footage]

Whyis polarcoordinate useful ?rather than rectangular

[hlrnoctopus]

Yo prefiero theta 0 a 2pi ) Ponto final!!!!