Graphing a Polar Curve - Part 1

[DominoChild]

So as a general rule are you always dividing by 2 to get the intervals for your graph, or was it just in this case?

[tajuara100]

Thank you for the explanation, you are the best. I wonder though why the bastards put advertising even in educational videos, no respect

[patrickJMT]

@tajuara100 why wouldnt they? this stuff has to get paid for somehow. and: you are welcome

[Thunder7messiFan]

I have had multiple people explain this to me, but this is by far the best!! So glad I found this in time for finals!!!

[patrickJMT]

@Thunder7messiFan come back next semester and tell your friends! : )

[blaky112233]

should i always set it equal to pi/2 to find the increments? or does that only apply for this problem??!?!?!?!?!

[hangv001]

omg, thank you thank you thank you so much, i got it!

[teranenrique]

Honestly, I owe my grade to you Patrick. Thank you VERY much, If I become rich one day, I will keep you in mind :)

[gunny0488]

is what your doing basically the derivative or gradient graph of the function? or have i got it messed up

[rahdi1]

i think that theta should be denoted by y axis & r as x axis

[peakmill]

can you show your face someday????

[sabnams]

it's like as soon as i open ur videos i know everything about that topic automatically! :D yay!!!

[powerrangersr]

*Generic comment of how you teach more than my teacher does*

[gunny0488]

@powerrangersr that was what i like to call a troll failure

[Shahi891]

For the COSINE the first increment was found by ( 2theta = pi/2) and solve for theta.

what About for the SINE???? how do i find the first increment of SINE????

[ISxI]

Now this makes sense. You are a great teacher =)

[yebet]

Patrick Are you married?

[risebad]

you're awesome dude! keep it up xD

[ArmaniExchange68AX]

he set r=0 so 3cos(2theta)=0, divide by 3, you get cos(2theta)=0 then you want to solve that sooooo when is cos zero? At pi/2 so set 2theta=pi/2 and solve

[VictorAndScience]

What was that! HAHAHAHA

[PrisonbreakCB]

in your graph isnt the vertical axis suppose to be theta and the horizontal axis r?

[lobobunda]

Now i can skip classes and study this at home...

And also spend less money with transport 'till College + food.

Haha, thanks for posting this Patrick.

[MyShmexy]

Your videos are awesome, thank you for posting them!!!

[tndobson1]

Do you always use pi/2 to find the increment?

[multipurpose101]

And 1 student failed his/her calculus exam.

[multipurpose101]

To those who don't know why he set it to Pi/2, try going to fooplot(.)com and see what happens to the graph of y = cos(b*theta) when you change b from 1 to 2 to 3 to 4 until you get it. :)

[jasskarn666]

why u take pie/2????????

[patrickJMT]

@jasskarn666 i could not eat the whole thing

[spitty3d]

@patrickJMT mentor of the year lol

[omarofuae]

@patrickJMT LOL!!!!

[rikiscute]

@patrickJMT

Hello Patrick, I really appreciate what you doing, it's very helpful. My question though is whenever you are ploting polar coordiantes, is it always safe to equate the theta to pi/2? Does it always and always work with this method, ie ploting in catesian form before transfering it to the polar coordinates?

Please get back to me as soon as possible, I have my finals next week.

[WHY70122]

@patrickJMT I'd like to know the answer for the above question also. would u mind explaining it to me plz? Do we always set it equal to pi/2 or it depends? I'm really confused about this. and the fact is that me prof never explained me how to find this. all he did was: cos(2theta) => period = Pi? Thanks in advance!

[sidlucky2002]

@jasskarn666 for wt values of thita u have cos thita =0?????

got ur ans...?

[kisakuexpress]

thank you i got confused with the two theta. But after your video very thing clicks.  Thank You

[efdizzle09]

God bless you Patrick. you are making lives better with your videos. thank you soooo much!

[annie2198]

you're the best, you're the only reason i'm passing math...

[patrickJMT]

@annie2198 you take the tests, not me : ) so u r the reason!

[teenenator2]

@annie2198 Totally agree.. You make so much more sense than my teacher!! :D :D

[SpoiledLogic]

This is a good video.

[boscoboy2008]

thanks alot!

[kjunaa]

is this related to calculus

[multipurpose101]

@kjunaa In finding areas of polar curves

[Cokred1991]

i watched these this video and didnt go to class for weeks and still passed =]]

[TheWaZang]

I can't stress how helpful this is.. my prof goes too fast for me to keep up, this is a perfect pace. Thanks sooo much!!

[bartar99]

Amazing! I finally understand those stuff. Thanks a lot!

[TsunamiNoir]

These videos are great. Glad I stumbled upon this~

[shrublett]

Amazing! Thank you!

[cheesyjohn]

ever notice how all good teachers are usually left handed?

[Peaceontoyou]

patrick pwns!

[SkaterK3]

Dude, thank you so much. My first year calc final is in 3 hours. I've been studying this stuff all night and our teacher didn't teach us any of the polar coordinate stuff. And then he told us it will be on the exam! Ouch! Saved my day super(math)man. Much appreciated.

[icedgreen]

Yes, I couldn't agree more.

SUPER(MATH)MAN = PATRICK

[naylin369]

shouldn't the left polar point be (-3,pi)?

[MgdCf]

No, because the angle theta is Pi or 180 degrees, you still just need to go 3 units in that direction.

[pooperkillx4]

i wish i would have remembered you had videos of this up. was trying to figure all this out for about 4 hours last night. finally got it but you explained if very well.

[D4rk1igh7]

Excelent!!! it really helps!! and I should say, it's so well explained that even a guy who doesn't speak english THAT well (Me for example) understands!! that's just great!!

[nam3l]

never mind I got it! My teacher doesn't know how to teach lol

[nam3l]

on the second point of your graph. how do you know you go -3 down not -3 to the left?!

[rgrybra]

Thank you!

[patrickJMT]

no problem

[hooper420]

Why did you set 2*theta equal to pi/2?

Is it trial and error or is it because r is pi/2 for the axis?

[patrickJMT]

well, this helps me to decide how i label units on the x-axis

[achironis10]

@patrickJMT so if it was r= sin theta/2..would the increment`s be pi? cuz you would divide theta/2 by theta/2?

[achironis10]

@achironis10 i mean would you divide theta/2 by pi over 2 giving you pi for the increments?

[geovaniluna]

@patrickJMT

YES! Why 2theta =pi/2 Why Not 2theta=2pi (Since that is the Period of Sine)???

Your answer will clear many mind who don't dare to Ask...

Thanks

[WorldCollections]

Even though I think my professor is the best, you did gave a better and more complete example. Thanks for spreading the knowledge !

[RadoAller]

r polar coordinates really cool???

[patrickJMT]

slightly cool at the very least

[HomerWells007]

Hi

I just want to thank you for doing me alot of good in understanding how to graph polar coordinates. The information presented here is very valuable especially for people who have instructors that are rusty on this material.

[tamereestidecalisse]

Very nice explaination, really helped!

but there's one thing... i believe your second graph should be an y-x graph no?

[lutetium1907]

thanks man!

[slogan5310]

Very Nice patrick, i appreciate your help and you are sooooooooo talented. i would say be a scientist.

[dannyboy12357]

you should be a teacher

[dilhantheman]

dude patrick ur the best

[prince997]

where is tht vid at in which u show how to plot those points?

[pachamaru]

patrick ur the best!

[Urykz]

mr. Patrick:

I'm teaching math 4 which is involving exponential and logarithmic functions.i 'm just wanna let you know that ur site was very impormative on my part as a teacher.thank you so much i leARN a lot from youe site. thank you from the bottom of my heart. you're excellent to me. cesar

[patrickJMT]

glad i was able to help, cesar!

thanks for the kind words!!