Understanding Polar Coordinates

[@jayjw1]

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

[@profrobbob]

WOW JW...CONGRATULATIONS!!! I know you are going to make me proud passing those finals (you already have:) You can help us the most by taking the time to share this free resource with your teacher so all future students know where to find free help and remind them how important it is to like, subscribe and share these educational channels thru social medias to help spread the word too:D

[@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.

[@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.

[@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.

[@profrobbob]

HAHA, Circus cannon:D I am going to try to get to work tomorrow like that. Getting shot out of a circus cannon school alleviate the traffic issue as long as I have a soft landing. I do not do a tremendous amount of work in Polar Coordinates in PreCalc, but I am glad I can give you a nice introduction. As an example, they are very handy in audio engineering.

[@DavidFernandez-od4fz]

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

[@profrobbob]

You're welcome...thanks for liking and learning and don't forget to subscribe and share as often as you can to help us keep growing and remain free for everyone...BAM!!!

[@profrobbob]

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

[@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!

[@profrobbob]

+Rose Bell at least you can have me as your YT teacher now that you've liked and subbed:) Thanks for taking the time to "thank" the teacher and for choosing my channel to study with...Please tell all your friends, classmates and teachers to watch and do the same...we are only 338 subscribers away from 100,000...that could be as simple as one tweet away...BAM!!!

[@victoriamorrison9845]

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

[@georgesadler7830]

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.

[@MzEly06]

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.

[@carrielane684]

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]

You're welcome and THANK YOU Carrie for all your awesome support! My wife and I are working very hard to groW my channel to it fullest potential and that's just the kind of support that will help with my channel growth. I teach full time as well and with all the additional work load and teaching 4 preps it's harder to find the extra time to add to my video playlist:( Where do you teach?

[@carrielane684]

ProfRobBob I teach in a suburb of Atlanta. Wow, 4 preps! I understand the challenge to add to your playlist. I say the same thing 5 times a day (1 prep), and I am exhausted when I go home. The good part is, I acquire an ever-increasing understanding and memory of the material. I taught Algebra II for 6 years, and I think I could teach it in my sleep now. Keep up the good work!

[@profrobbob]

Carrie Lane We have driven thru that Atlanta by-pass many times and understand why you are in a suburb…lol! May will be here before we know it so finishing my Calc videos is at the top of my list right now:( Adding to my Algebra playlist will be my next project…I'll let you know when that time comes and maybe we could co-teach a video?! Thanks again for sharing my channel and your support, enjoy your much needed break and keep in touch:)

[@profrobbob]

You are SO welcome...and THANK YOU so much for "liking' my videos! Yes, we did have one great football year here:)

[@profrobbob]

Now Closed Captioned #math

[@alexwang982]

#closedcaptioned

[@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:)

[@profrobbob]

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

[@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]

You're welcome and thanks for choosing Tarrou's Chalk Talk to learn and prepare for compititions from! Please share with the rest of your team and friends and tell them to Like and SUBSCRIBE to support FREE educational channels like mine and help us groW!

[@ryanbroome23]

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

[@profrobbob]

BAM!!! Ryan Broome ! Now please continue all that support by Liking, SUBSCRIBING and spreading the word to others so they too can make me their go-to calc guy:D

[@carriemackify]

ProfRobBob You're currently my go-to Trig guy. Next semester you'll be my go-to calc guy.

[@profrobbob]

carriemackify that's AWESOME...thanks for liking and subbing too! Be sure to share my channel with your new class and tell your teacher to recommend my channel as an additional study tool for all her classes (and don't forget to remind them ALL how important it is to like, share and SUBSCRIBE to keep these free educational channels FREE :D

[@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]

***** That's AWESOME and put a giant smile on my face =) Thanks for all your continued support...that was a great idea and I hope they all subscribe after that :) BAM!!!

[@KikiSwiss1967]

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

[@hannahpark3587]

Awesome video!! Please post more for calculus and advance math topics!!!

[@profrobbob]

Thanks...be sure to check out all my Calculus videos and remember you can search by key words as well:)

[@ppham5623]

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

[@profrobbob]

Thank you! I really appreciate the kind words:)

[@raejohnson2647]

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!)

[@matthewkirkeby8245]

Very solid lecture. I did very well taking the classes, but I'm now relearning math for the purpose of tutoring locally. I think I'll check out some more of your lectures. Thanks for the help!

[@profrobbob]

+Matthew Kirkeby thanks! I hope you continue to find them helpful and please share them with your students as you remind them to like, subscribe, support the ads and keep sharing the free educational channels on KZbin that you find helpful:D

[@mojave7025]

Your videos have really helped me a lot w/ my trigonometry course. Thank you for making them. When I reach my goal of becoming an Earth Science teacher, I plan to also make videos that will help students.

[@profrobbob]

You're welcome! Happy to hear these lessons have helped you get thru that Trig course! Congrats on choosing to teach the future of america...it can be very rewarding as long as you love teaching and your not in it for the money:) Making videos and growing this KZbin Channel has taken 6 years of hard work and dedication and alot of help from my wife, all while still teaching full-time. It's a great goal to make videos and give back, but just be prepared to never have much free time. Best of luck in the future too.

[@ryanwalker4491]

I swear when I finish Calculus 3 I'm gonna drive to Florida and give you a bear hug!

[@profrobbob]

LOL...I'll be here to celebrate that accomplishment!

[@ReaL0RazZ]

Epic video to help with revision. Thanks for taking the time to do this !!!

[@profrobbob]

RazZ Madirr and thanks for taking the time to study and sub! ...and you're welcome, please keep spreading the word:D

[@janepianotutorials]

Hi Rob, it's Jane again. Exist problems in your lesson. Same error as KhanAcademy's "polar coordinates 1". I commented under his video. We must leave the angle in a form of arctan(4/3).

[@Imgone251]

Beautiful introduction! Very easy to follow along, thanks.

[@profrobbob]

Imgone251 you're welcome! ...and thanks for watching, learning, liking and subbing too:) Keep sharing to help us keep growing:D

[@jmeh3542]

Prof Rob Bob you seem like a legitimately cool person man thanks for the badass explanation.

[@profrobbob]

And THANKS for learning!

[@TseyiHastiin]

Thank you for your insight, experience, and dedication to our beloved passion of keeping it analytical!

[@profrobbob]

+Jay Draper you're welcome and thanks for taking the time to like, sub and thank the teacher...BAM!!!

[@onelove8187]

Do you have any videos discussing how to graph polar equations?

[@TooWongCool]

Oh What A Bucs fan! I remember being in the crowd at Raymond James the night they won the Super Bowl. My family being latinos brought the pots and pans to make some noise out there haha.

[@profrobbob]

Great visual:) Thanks...it's years old but I keep it and wear it to every super bowl party now...lol

[@monicawillson1363]

Thank you a lot! taking calc III and needed a refresher. Definitely helped!!

[@profrobbob]

Hope I have enough videos to help...thanks for watching! Sub and share if you find this channel helpful:D

[@carolzhou9235]

Recently discovered your videos and wow! This has been so helpful. Thank you!!

[@profrobbob]

You're welcome and thanks for studying and subbing too! Please tell everyone you know where to find us and to please do the same so we keep growing and helping others...BAM!!!

[@KmHekmat]

Such a great teaching! Thank you very much. I'm Preparing for FE (Fundamental of Engineering) Exam. It helped me a lot.

[@profrobbob]

...another video, you ARE studying aren't you?!

[@KmHekmat]

ProfRobBob yes

[@profrobbob]

BAM!!! That's what teachers love to hear:)

[@maile1996]

what if they ask you to find all the polar coordinates. Is that will be like ( 5, 126.9 + 360N ) N= integer. And I have 1 practice that I'm confused about, which is the rectangular coordinate ( 4.3 ) . Why the answer is ( -5, 216.87 +360N ) ? Thank you.

[@janepianotutorials]

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

[@janepianotutorials]

was it 53.13? whatever value.

[@zimmerman630]

clear and easy to understand. thanks mr tarrou!

[@profrobbob]

Thanks for watching...please sub and share too:D

[@eelkenet]

Thank you for this clear introduction!

[@profrobbob]

You're welcome eelkenet and thanks for choosing #ProfRobBob to watch and learn from:) Don't forget to like, subscribe and share with everyone to help us keep growing!

[@mirandapandajames]

Thank you for doing these videos! Math stresses me out a lot and I would be not be in a good a place as I am in now in PreCalc if it weren't for you!

[@profrobbob]

Thank You Miranda James for taking the time to "thank the teacher"! Don't forget to Like, SUBSCRIBE and share my channel with your friends and don't let math stress you out...just keep watching and learning from Tarrou's Chalk Talk!

[@jasongarner4082]

These videos have been a God-send. I was elated to find out you also made videos for Calculus and Calc2. I might just survive college math. You're the man!

[@profrobbob]

I'm happy to hear you are taking full advantage of these free resources!Thanks for subbing and the continued support...please share this channel and your learning experience with your college math teachers so ALL the students can take advantage of my 580 FREE math videos...BAM!!!

[@abd.alharbi]

Same here.. Intuition of trig functions has increased by 20 folds and I'm being less than accurate. Never thought I'd understand them and by golly been watching lots of vids about them!!!

[@ThuyNguyen-bu9ge]

I learned that -53.1 degrees is in Quadrant -1, since Quadrant 4 means all the way around the unit circle. Arctan gives a degree between Quadrant -1 and Quadrant 1.

[@profrobbob]

Tiffastic Nguyen I have not seen quadrants labelled as negative numbers. I like that:) Thanks!

[@Nooreazy]

Omg thank you so much for uploading this, you're a great teacher!

[@k8reed]

Tampa Bay, huh? I attend HCC in Tampa! Thank you for helping me with polar coordinates!!

[@profrobbob]

+k8reed small world huh?!...stop by school and say hi if your ever in the neighborhood:) You're welcome as always!

[@travisallen4718]

I'm ultra curious as to why the 53 degrees is taken from 180 degrees. I am just learning trig and I am trying to form a good understanding of the quadrant-to-quadrant navigation process(es). I instinctively added 90 degrees to the reference angle of -53 (being +53) and went with 143.13. And thank you for all of your time and dedication.. your videos make such a huge difference in many of our lives from week to week.

[@profrobbob]

I would love for you to watch my entire lesson, but check out this video starting around 8:26. Setting up the Unit Circle Part 1 and Reference Angle Here I define Reference Angle and you will understand why you must subtract 53 from 180. Tangent is negative in quadrant 2 and 4, 180-53 lands you in quadrant 2 :D

[@travisallen4718]

ProfRobBob Perfect!

[@profrobbob]

Travis Allen BAM!!!

[@MilesSpearman]

You are such a helpful person!! Thank you!

[@profrobbob]

Thanks for watching!

[@googlename9851]

Is there a video where you explain when theta is negative? So at the end of this video you talked about "r" being negative and how it would look like on the graph right. So have you ever talked about theta being negative?

[@frede1905]

Mr FreshBest I am new to polar coordinates, but I've seen a video where the guy showed a negative angle bigger than negative pi/2. When you see a positive angle less than pi/2, then it's in between the positive x and the positive y. A negative angle bigger than negative pi/2 was in between the positive x and the negative y.

[@frede1905]

Mr FreshBest But when r is negative too, then the point will be on the opposite side, which means between negative x and positive y.

[@LaVampigata]

Super clear! You make it looks so easy! Thanks C:

[@Rajui747]

-180 to 180 then why line vectorial angel is repersented in format (theta+360n).result comes out to be same but does not follow definition.

[@LilMikeFilms]

hahaha, I always crack up when he finishes the video by telling us to do our HW.

[@profrobbob]

Thanks for watching, subbing and sharing! ......and I hope it continues to motivate you to do your HW too:)

[@jazminebeee8634]

Very helpful! thank you so much!

[@profrobbob]

You're very welcome and thanks for studying and subbing! Please be sure to tell everyone to watch and do the same:D

[@okumhlophe]

Brain: *Remembers embarrassing moment* Me: 15:07

[@profrobbob]

LOL...Thanks for watching so closely!

[@TheRaviation]

Thanks for the helpful advice

[@profrobbob]

+Kevin Yusuf you're welcome...thanks for taking the time to learn!

[@petermakwakwa3576]

realy this man is owesome!!!!!. and like the way he teaches us and hi videos are cleare and perceft......... keep on doing dat yoing uss sair

[@profrobbob]

Thanks for choosing Tarrou's Chalk Talk to watch and learn from Peter makwakwa !

[@villainrack]

Do you have a video that teaches how to convert problems like 7 (cos 182 + isin182) to rectangular form?

[@profrobbob]

Evelyn Fewkes Third video on this page www.profrobbob.com/trigonometry/polar-coordinate-system

[@Erin-bc8ic]

You are a god.

[@profrobbob]

+Eric M just a math teacher who loves to teach:)

[@N8Stein]

+ProfRobBob No you are a God who just taught me a semester of Trig in one night. I'm actually feeling good for this final. Thanks bro

[@profrobbob]

+Nate Steinlage you're welcome, hope you pass that final like BAM!!!

[@N8Stein]

+ProfRobBob I'm in high school and got a 32 on the math part of my ACT so more like got a 98 on it! BAM!!! Thanks!

[@N8Stein]

98 on the final just to clarify

[@jinwooahn8505]

Thank you! it is really helpful video!

[@profrobbob]

You're welcome Jason Ahn ...thanks for watching and please Like, Share and SUBSCRIBE to support and help my channel groW to help others:)

[@alisarones8045]

This guy is awesome!

[@profrobbob]

THANK YOU for saying so Alisa Rones ! I hope you will continue to choose Tarrou's Chalk Talk to watch and learn from and then be sure to share and SUBSCRIBE :D

[@alisarones8045]

Lol yes as a matter of fact I shared your video yesterday. I am currently a Trig student at Woodrow Wilson high school in Beckley, WV. If it weren't for your videos, I more than likely wouldn't be passing. Thanks! You're awesome.

[@profrobbob]

THANK YOU again Alisa Rones ! We go thru Beckley every year on the way to my moms house in Charleston:) Keep up the great job of studying too.

[@janepianotutorials]

Hello Rob again. You miss the point completely. Your 53.13° is an APPROXIMATION of arctan (4/3). Therefore the two points in question are DISTINCT. The answer is WRONG. However, if the textbook or problem said "Find a polar point CLOSE TO (3, 4)", your answer that would be acceptable. But not to a bacterium :)

[@markreyes7395]

Thank you so much :)

[@profrobbob]

You're so welcome Mark Reyes thanks for choosing and subbing! SPREAD THE WORD :D

[@XMageOfMetalX]

You didn't make a video for how to graph polar equations... oh uh :O

[@Chebiva]

Your videos are awesome!!!! :):):)

[@nophi1234]

OMG THANK YOU SO MUCH

[@profrobbob]

You're welcome...thanks for studying and subbing too!

[@vsernguyen4375]

How do know that -53.1 is in quadrant 4? Because the inverse of quadrant 2 is 4?

[@profrobbob]

Vser Nguyen Because negative angles rotate clockwise from the positive side of the x axis, and rotating 53.1 degrees to the right, or clockwise, lands you in quadrant four.

[@vsernguyen4375]

Ahh I see, thanks!!!!

[@profrobbob]

Vser Nguyen you're welcome!

[@ryanizer11]

Honestly I have no idea but it never clicked in my mind that finding R was the hypnosis *facepalm* anybody have recommends in how to remember stuff better? I seem to have a horrible memory sometimes

[@Cirius-wl2xr]

sir thanks your so pro

[@profrobbob]

You're welcome...thanks for watching!

[@notesam3698]

Not clear 7pi/6 (last part )is a blurrr

[@usmanmehmood7614]

isn't tan teta = opposite /Adjeccent

[@profrobbob]

Thank you from "your awesomeness"...LOL

[@Impuhlz]

you are my savior

[@profrobbob]

Thanks for watching, learning and subbing Impuhlz ! Please spread the word:D

[@Impuhlz]

Already told my roommate about you!

[@profrobbob]

Impuhlz BAM!!! That's what I'm talkin about!

[@al-anoudcaraz8560]

awesome! regards, new SUBSCRIBER :)

[@profrobbob]

And I'd say that's pretty awesome as well Al-anoud caraz ...THANKS for watching, subbing, and choosing #ProfRobBob to learn from!

[@profrobbob]

No I have not...sorry:(

[@Rajui747]

Vectorial angel lies between -

[@HU5T1E]

First let me say your videos have been a great help getting ready for calc...but I would be remiss to not call you a dirty Bucs fan...Go Falcons #Riseup, but thanks anyways

[@profrobbob]

George Bockari obviously I don't get to wear that shirt very often...is that what kept you from subbing?! lol Thanks for watching and I hope you will sub and share my channel with your friends and class mates in that Calc class...BAM!!!

[@HU5T1E]

You're right I saved the playlist but I will sub

[@profrobbob]

George Bockari thanks for being a man of your word and subbing already! Please keep sharing my channel with everyone and remind them to like, sub, support the ads and keep sharing to help these free educational channels grow and remain free...our goal is 100,000 subscribers before the end of the year:D

[@devangibari3141]

looks like i dont have to open my textbook thanks sir

[@profrobbob]

Make sure you open that book to do the practice that is required for learning. I am just modeling these concepts for you. This is only step one:) Thanks for watching and spreading the word.

[@ontopoftheworld110]

Anybody else see a slight Dab at 11:34. or am i tripping?

[@profrobbob]

I am sorry, but at this time…no.

[@alexwang982]

BAAAAAAAAAAAAAAAAAAAAAAAAM!

[@balaportejean7015]

Thx bro Jesus loves you Believe in him and repent !