Understanding Polar Coordinates

I introduce Polar Coordinate System.

[jayjw]

MR. TARROU! You did it again, I got another A on my college level Trig Exam, finals are coming up and I have a 95% in the class all together, so I'm going to finish out your videos and I should be sitting with above a 95% at the end of the semester, will comment on further videos to let you know! (Oh and did I forget to mention, that Exam was all on Identities and I aced that part) :D

[thebassofmontecristo]

I started with Polar Coordinates for the first time in my life today, and this video was my introduction to them. I thought they would be a pain to understand but I see that it's just a different way to understand the way a point gets placed on a coordinate plane. This is kind of a silly way to explain it but it's like saying "you can get to the store by walking down the street, turning right at the first corner and walking up for 10 seconds... but if we push this cannon back from here a few steps and put it at a certain angle it can shoot you circus-style to the store's front door also." LOL Same arrival point, different methods of arrival. Loved the "think of positive r as forward and negative r as backwards" bit. Thank you! Looking forward to discovering this new math realm.

[MadisontheLawyeringArtist]

What I wouldn't give to have you as a math teacher! I was getting worked up because I couldn't understand my study materials, and then I found this video and I understand everything now. You are so AMAZING!!! Thank you for what you do!

[victoriamorrison]

You, sir, are a life saver. I barely even stress when I miss a lesson in class because I have another great teacher right here in my computer

[georgesadler]

Professor RobBob, this is an excellent video/lecture on Understanding Polar Coordinates. Students will need Polar Coordinates in Precalculus, Calculus II, Calculus III and Engineering Dynamics.

[DavidFernandez-odfz]

Authentic Mathematics Professors, such as yourself, do not cease homeostatic operations and therefore, are immortalized; thank you!!!

[MzEly]

You truely are a great teacher!
Wish math had as many teachers/professors like you, that teach with a passion and teach for others to learn. Props to you and hope one day I will make a great teacher like you.

[ikaspriskie]

I love your videos so much that I watch chapters ahead of my class in school. As a math team member, this helps prepare for competitions so much! Thank you and keep making amazing videos!

[profrobbob]

Yes, if you wanted all answers with a positive r value. If your rectangular coordinate is (4, 3) and you wanted all answers with a -r value it would be (-5, 216.87+360n). The calculator will give 36.87 degrees for arctan(3/4) and you add 180 to get an angle in quadrant 3 to allow you to use the required negative radius.

[janepianotutorials]

your textbook says the points (x, y)= (3, 4) and (r, theta)= (5, 51.13°) are EQUAL?

[carrielane]

Your pace and presentations are excellent. Very clear and easy to understand. I am a high school math teacher, and I show some of your videos in class, usually for an intro to the topic, or for review. I also post the links on my webpage so my students can watch it at home. Thank you!!

[profrobbob]

Thank you and Thanks for supporting by subscribing too! Please spread the word about my channel to anyone else you know taking that online class...maybe you could even send them (whoever offers the class) a link to my channel and tell them about this FREE math help they could offer their students:)

[KikiSwiss]

You are absolutely an awesome teacher. Thank you for your videos. You helped me a lot with my online math class.

[profrobbob]

The conversion of the point from rectangular to polar is consistent to how my textbook presents the material.

[GreaterDeity]

6 of my classmates and I had forgotten about polar coordinates, so we sat down and watched your video like class was in session;  took notes and everything.  You are a real blessing!  Thanks!

[profrobbob]

If asked to give a polar coordinate with r greater than 0 and theta between 0 and 360, yes...without the restriction of the angle (5, 53.13+360(n)). The book will also ask for a coordinate with r less than 0 and so on. Now I did not give conditions for my first answer, but I go on to explain there are multiple answers...indeed infinite answers which is why I finish the video giving solutions representing all answers with r greater than 0.

[ryanbroome]

My go-to calculus guy.  Tarrou never fails me!

[ppham]

getting ready for my exam... my head is spinning!!!
Thank you ProfRobBob!

[raejohnson]

I can never get enough of your videos. They are so amazing helpful!! Thank you so much, Mr T. (plus you are fun to watch!)

[profrobbob]

Yes it is, but when dealing with angles in standard position it is more convenient to think of tangent tan(theta)=y/x