Polar Equations to Rectangular Equations, Precalculus, Examples and Practice Problems

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  • Опубліковано 15 тра 2017
  • This precalculus video tutorial explains how to convert polar equations to rectangular equations. It contains plenty of examples and practice problems. In polar form, the equation contains the variables r and theta which is the radius and the angle of the vector. In rectangular form, coordinates are represented by x and y.
    Solving Trig Equations - Finding All Solutions:
    • Solving Trigonometric ...
    Solving Trig Equations With Multiple Angles:
    • How To Solve Trigonome...
    Solving Trig Equations With Double Angles:
    • Solving Trigonometric ...
    Law of Sines:
    • Law of Sines - Basic I...
    More Examples - Law of Sines:
    • Law of Sines, Basic In...
    Area of an Oblique Triangle:
    • Area of an Oblique Tri...
    ______________________________
    The Height of a Triangle - Heron's Formula:
    • How To Calculate The H...
    Law of Cosines:
    • Law of Cosines, Findin...
    Polar Coordinates:
    • Polar Coordinates Basi...
    Rectangular Equations to Polar Equations:
    • Rectangular Equation t...
    How To Graph Polar Equations:
    • How To Graph Polar Equ...
    _________________________________
    Complex Numbers - De Moivre's Theorem:
    • Complex Numbers In Pol...
    Dot Product of Two Vectors:
    • Dot Product of Two Vec...
    Trigonometry Final Exam Review:
    • Trigonometry Final Exa...
    Final Exams and Video Playlists:
    www.video-tutor.net/
    Full-Length Videos and Worksheets:
    / collections

КОМЕНТАРІ • 139

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  Рік тому +10

    Graphing Polar Equations: ua-cam.com/video/IL2mM4CppGg/v-deo.html
    De Moivre's Theorem: ua-cam.com/video/f0uOujml3QU/v-deo.html
    The Dot Product - Vectors: ua-cam.com/video/Ytn070pkn54/v-deo.html
    Next Video: ua-cam.com/video/fTBkr27r3pw/v-deo.html
    Rectangular to Polar: ua-cam.com/video/fTBkr27r3pw/v-deo.html

  • @jaxon3604
    @jaxon3604 3 роки тому +300

    this channel should be called "The Life Saver"

  • @AMMstudios
    @AMMstudios 6 років тому +548

    It sucks that after every Trigonometry class session I have to come home and watch videos to actually learn the material; but, you, my friend, explain math very well. So well that I understand the material immediately. Thank you for your videos!

    • @annidamf
      @annidamf 5 років тому +6

      James Stup AGREED😭😭😭😭😭❤️❤️❤️❤️❤️ THIS GUY IS REAL MVP

    • @muhammadrafiq8203
      @muhammadrafiq8203 2 роки тому

      Sir you are always pronounce instead if cos© (cosin©) 🤔🤔

    • @elvismora7378
      @elvismora7378 2 роки тому

      English isn't my first language, and i could understand as well.

  • @guesswhoiam7139
    @guesswhoiam7139 2 місяці тому +9

    Watching this on 2 times speed right before my precalc quiz 💀

  • @Benedict_Miriti
    @Benedict_Miriti 4 роки тому +107

    This is the greatest math tutor i have ever known.Thanks to him i can easily relate with what the lecturer taught in class.

  • @ItsPouring
    @ItsPouring 6 років тому +93

    OH MY GOODNESS, The Organic Chemistry Tutor!! You are AMAZING! Who on earth is that masked man!! You have helped me so much through trig - precalc - calc I and calc II
    Thank you! Thank you! Thank you to the 100 Thousandth Power!!

    • @joshmayes1538
      @joshmayes1538 4 роки тому +4

      Why not one millionth power?

    • @Vic-go7zu
      @Vic-go7zu 3 роки тому

      He’s a mexican dude

    • @ItsPouring
      @ItsPouring 3 роки тому +1

      @@joshmayes1538 I like that even better👍

    • @Refuse2Lose33
      @Refuse2Lose33 3 роки тому +1

      @@joshmayes1538 Nah, 10 to the googol power!

    • @cooperchavez999
      @cooperchavez999 Місяць тому

      Why are you here then

  • @sierrabriscoe2315
    @sierrabriscoe2315 5 років тому +35

    I️ was struggling with a trig unit in precalc and couldn’t get much help from my teacher and your videos totally helped me through it- thank you! Because of two of your videos I️ aced the test with a 98!

  • @zayrameza8986
    @zayrameza8986 5 років тому +29

    We've been going over this for the past week and a half in my precal class and I haven't been able to understand anything until now thanks to this video !!! THANK YOU!

    • @jixingbian4911
      @jixingbian4911 2 роки тому +7

      For real, my professor only knows how to solve problems for himself, he doesn't know what means teaching

    • @tiddyboy3490
      @tiddyboy3490 2 роки тому +2

      BRUHHH MY LECTURER LITERALLY BE TALKING TO HERSELF

  • @amakboul9401
    @amakboul9401 6 років тому +47

    Best video out there! Better than the speaker on khan academy!

    • @John-bq1lp
      @John-bq1lp 5 років тому

      yes!! so much better

    • @azzanporter4377
      @azzanporter4377 3 роки тому

      Facts

    • @soski.m5847
      @soski.m5847 2 роки тому +6

      Don't compare people though or say someone is better than another, many people prefer him, i like both of them, you can say instead "I can understand you better"

  • @willpugh-calotte2199
    @willpugh-calotte2199 4 роки тому +4

    Thank you! This is the best explanation of polar equations yet that I've encountered.

  • @isabellasilveira4874
    @isabellasilveira4874 6 років тому +5

    You are amazing! You've explained this crystal clear! Thank you thank you thank you

  • @rachels9340
    @rachels9340 6 років тому +4

    Thank you so much for saving my butt on my exam tomorrow! This is great!

  • @fawzimohammed8303
    @fawzimohammed8303 6 років тому +7

    bro u r awesome .. the best scientific channel i've ever watched 👏👏.. keep it up.

  • @adamkadaban
    @adamkadaban 5 років тому +12

    Wow helping me not only with chem and physics, but precalc too

  • @zcarla3
    @zcarla3 6 років тому +5

    i loooove your channel, thanks for everything!

  • @nickzav
    @nickzav 5 років тому +9

    You are the GOAT for both my Chem and Trig classes! Thank you yet again good sir.

  • @adrianapinon563
    @adrianapinon563 2 роки тому +4

    I literally love you, you are so amazing. Thank you for your videos, they helped more than the lecture

  • @WHATEVERKEKESAYS
    @WHATEVERKEKESAYS 5 років тому +1

    killed it! writing an exam in two days and I feel good about polar equations now.

  • @etrevivo2604
    @etrevivo2604 3 роки тому +1

    you help and explain things better than my math teacher thank you.

  • @becapape576
    @becapape576 6 років тому +1

    This video saved my grade! THANK YOU!

  • @angelaescobosa1628
    @angelaescobosa1628 2 роки тому +1

    I love you, you've saved me from so much homeworks!

  • @yonathanabay9668
    @yonathanabay9668 Рік тому +2

    i starting learning from u since highschool didnt think i would use u for university though still using u in univetsity

  • @kirstenbrickley1555
    @kirstenbrickley1555 7 років тому +5

    Please upload a video explaining partial derivatives for calculus. Thank you!!

  • @laurens3857
    @laurens3857 2 роки тому +5

    Final trig exam in 2.5 hours. Wasn’t totally feeling I grasped it yet. Thank you!

  • @georgesadler7830
    @georgesadler7830 2 роки тому +3

    Professor Organic Chemistry Tutor, thank you for showing How to convert Polar Equations to Rectangular Equations and vice versa in Calculus Two. All Calculus Two students should be familiar with this material from Precalculus Mathematics and Trigonometry. This is an error free video/lecture on UA-cam TV with the Organic Chemistry Tutor.

  • @bryanamezcua4556
    @bryanamezcua4556 6 місяців тому

    this one was actually so fun to do along with the video.

  • @micahpalin6136
    @micahpalin6136 3 роки тому +1

    yes, i love the videos they help me so much with math

  • @acesk8z579
    @acesk8z579 5 років тому

    This helped a lot sir! thank you

  • @Gulrukh-bl1vq
    @Gulrukh-bl1vq 2 місяці тому +1

    2:11 I love how this dude always says "UNPAUSE the video" instead of saying "continue the video or play the video"

  • @TopStrikerMaverick
    @TopStrikerMaverick 5 років тому +1

    Your voice pierces through my earwax.

  • @miraisilva5507
    @miraisilva5507 2 роки тому

    you are a lifesaver. thank you so much

  • @mustafaalbairmani9618
    @mustafaalbairmani9618 4 роки тому +1

    Watch the ads guys, he deserves it.

  • @xyronnedavidyabut394
    @xyronnedavidyabut394 5 років тому

    Thank you, as always.

  • @MartinMusonda-oe1on
    @MartinMusonda-oe1on 11 місяців тому

    This is wonderful ❤❤❤❤

  • @ancientdrax6141
    @ancientdrax6141 Рік тому +2

    you are the greatest

  • @MakimaDog
    @MakimaDog 5 років тому +2

    thank you!!! i was even able to find quicker ways of solving them half way through

  • @mrblackbird6936
    @mrblackbird6936 3 роки тому +2

    damn it, I studied for the test but forgot to go over these polar coordinates, surprisingly the majority of the test was these even though we just went over polar coordinates the day before. thx you good sir for the help, i probably rushed but thx to you i did pass with an average.

  • @Ca11mewhatever
    @Ca11mewhatever Рік тому

    YOU ARE A HERO

  • @MohamedNasser-lu4go
    @MohamedNasser-lu4go 6 років тому

    very nice thanks a lot

  • @bhargavgandavarapu3617
    @bhargavgandavarapu3617 Рік тому

    bro this dude is the goat

  • @fatimaalfehaid
    @fatimaalfehaid 5 років тому

    Thank you till ♾❤️..

  • @vinay9755
    @vinay9755 2 роки тому

    🙏👌👌👌Beautiful explanation 😊😊☺️☺️

  • @saramahmoud9280
    @saramahmoud9280 Рік тому

    you are my hero 💗

  • @kimanicoates9609
    @kimanicoates9609 4 роки тому

    Very helpful

  • @monkeygenerator6394
    @monkeygenerator6394 2 роки тому

    Thanks homie

  • @Stereo-hb2lo
    @Stereo-hb2lo 2 роки тому

    this vid explained it so much better than my trig professor ;-;

  • @valentiabusi436
    @valentiabusi436 4 роки тому

    Thanks sir 🙌

  • @seeni4647
    @seeni4647 2 роки тому +3

    have a test tmr and the notes didn't really help, thanks

  • @compunerd
    @compunerd 4 роки тому

    you're the bomb dude

  • @alexandesebastiao261
    @alexandesebastiao261 2 роки тому

    thanks a lot!!!

  • @afpl.4902
    @afpl.4902 3 роки тому +2

    13:02 Why R^2 [sinx*cosx] = RsinxRcox instead R^2sinxR^2cosx? Help!

  • @user-hy4xp2wz4u
    @user-hy4xp2wz4u Рік тому

    thanks!

  • @rossa5929
    @rossa5929 Рік тому

    Thanks

  • @lucasargandona4658
    @lucasargandona4658 5 років тому +1

    Learning this before I go to class today so I can feel smart ;D

  • @trapgodcasual
    @trapgodcasual 2 роки тому

    thank you

  • @michaelshanereynolds3458
    @michaelshanereynolds3458 5 років тому +2

    its been awhile .. IM SURE I WILL BE OK AND MAKE IT BACK TO ALL THIS AGAIN

  • @stevegreen5638
    @stevegreen5638 6 років тому +8

    the problem around 15:00 can also done by dividing R by sin^2
    R sin^2 = 5 cos
    multiply both sides by R
    R^2 sin^2 = R 5cos
    Rsin * Rsin = R5cos
    y^2 = x

    • @fawzimohammed8303
      @fawzimohammed8303 6 років тому +2

      Steve mamo its 5x instead of x .. but yeah i think it can work that way also 👏 .. good job 👌👍

    • @alsilver7780
      @alsilver7780 6 років тому

      That’s the way I thought of too

    • @tiernanomahoney8826
      @tiernanomahoney8826 4 роки тому

      Me too I was like WHHYYYYY

    • @kapundapanduhi7259
      @kapundapanduhi7259 2 роки тому

      yeah ,gotchu ...well done !!

  • @MP-im7un
    @MP-im7un 5 років тому +5

    Wouldnt the R^2 ( sin0 cos0) = sinr^20 cosr^20 and not rsin0 rcos0

  • @migueltejada7794
    @migueltejada7794 6 років тому

    thanks

  • @stickynoteorigami_
    @stickynoteorigami_ Місяць тому

    Thanks gang

  • @fraggatron6114
    @fraggatron6114 Рік тому

    Holy shit super helpful

  • @akshatmittalistheawesomeperson
    @akshatmittalistheawesomeperson 3 роки тому

    Saved my ass for polar test. big thanks

  • @alexocaber
    @alexocaber Рік тому

    goated fr fr

  • @oooo0O0oooo
    @oooo0O0oooo Рік тому

    Nice

  • @TwoStepGoodbye
    @TwoStepGoodbye Рік тому

    Nobody on UA-cam makes better videos.

  • @niyatishah7492
    @niyatishah7492 6 років тому +2

    Pllllzzzz can you do a vid on conversion from spherical to cylindrical equations!!!

  • @Tei_022
    @Tei_022 Рік тому

    one of the only reasons i’ve been improving on math is bc of this channel lmao

  • @andrewfresnics2841
    @andrewfresnics2841 Місяць тому

    You could you x/y and cotangent for pi/2

  • @60Minute_fitness
    @60Minute_fitness 7 місяців тому

    The goat 🐐

  • @josephpark6368
    @josephpark6368 3 роки тому

    tysm

  • @sparemedat5453
    @sparemedat5453 27 днів тому

    8:26 can we multiply both sides by sin?

  • @lyriec69
    @lyriec69 Місяць тому

    Why for the last problem did they multiply by r^3?

  • @howtogaintime739
    @howtogaintime739 3 роки тому

    At 9:13 couldn't you just divide by sintheta and then swap it for csc and have 1/y=3 so y=1/3?

  • @ratandeep6694
    @ratandeep6694 3 роки тому

    legend

  • @zyrxom
    @zyrxom 2 роки тому +1

    why does everyone do the easy nice round number in the examples? I'm stuck because I have r^2= 19cos theta.... my answer is (x^2-19x+y^2)r = 0 but is that even right?

    • @SM-qn7sr
      @SM-qn7sr 2 роки тому +2

      You can’t have r in a rectangular equation

  • @Squabetty
    @Squabetty Місяць тому

    Holy cow. Not sure I ever would’ve come up with multiplying both sides by R cubed 😂😂😂😂😂

  • @anikatnand9070
    @anikatnand9070 5 років тому +1

    how to find rectangular coordinates in polar equations

  • @tobiaschapinda6771
    @tobiaschapinda6771 3 роки тому

    If z=cosθ+isinθ and w=sinα+icosα. Express Z x W in the form p+qi, where p, q∈R. Hence find the maximum value of p^2+q^2

  • @SequinBrain
    @SequinBrain 4 роки тому

    Can you add a video to explain how to solve the 3-5 trick questions that now seem to be a standard part of every test? Or is it as I'm thinking: there's no way in hell to solve a trick question. Thx!

  • @joelnamabwaza3896
    @joelnamabwaza3896 Рік тому

    Why have you multiplied R^3 in last problem?? help me i don't understand

  • @janetyang2089
    @janetyang2089 5 років тому +1

    i love you

    • @yvonne8liu
      @yvonne8liu 5 років тому +1

      Janet Yang love u too

  • @illgopshi4162
    @illgopshi4162 4 роки тому

    At 13:41 can I solve for either x or y? Or do I just solve for y?

    • @willpugh-calotte2199
      @willpugh-calotte2199 4 роки тому +1

      You could solve for either. Solve it in the way that the exam question asks you to.

  • @senatororeocream455
    @senatororeocream455 Рік тому +1

    slayed

  • @bupe.m.2215
    @bupe.m.2215 3 роки тому

    How do I deal with this problem
    3(cos 135 + isin 135)

  • @renegadedonutshorse
    @renegadedonutshorse 3 роки тому

    thank you for making this ridiculous shit somewhat easier to swallow

  • @sawyer27100
    @sawyer27100 5 років тому

    Hello there
    Ø 300mm R = 250mm 90 °
    Can give 5 pieces of elbow area, excel formula.
    thanks

  • @user-sf9gs2pg1b
    @user-sf9gs2pg1b Рік тому

    6:44 (bookmark for self)

  • @ManpreetSingh-ms3sh
    @ManpreetSingh-ms3sh 7 років тому +1

    👍👍👍👍👍👍

  • @NobleTries
    @NobleTries 2 роки тому

    all hail the one and only OCT

  • @jalanimoeono3088
    @jalanimoeono3088 3 роки тому

    How is 'tan(pi/4)' equal to 1 because when I type it in calculator I dnt get 1 but instead 0.01370864253 please

  • @di-riso
    @di-riso 9 місяців тому

    Instead i multiplied both sides by r getting r²=5rcosx/sin² then r²=5x/sin ²x then i multiplied both sides by sin ²x r²sin²x=5x then its easy to see that r²sin²x=(rsinx)²=y²

  • @anikatnand9070
    @anikatnand9070 5 років тому +1

    how to find rectangular using polar equations

  • @rajeshkumarbehera515
    @rajeshkumarbehera515 Рік тому

    R=5+cos³theta
    Please solve

  • @shagullahmad2303
    @shagullahmad2303 3 роки тому

    ❤❤

  • @bubgnigurhiugeguejr8923
    @bubgnigurhiugeguejr8923 5 років тому +1

    For anyone looking for a recap of this video. He is basically talking about Pythagoreans theorem. Saved you 18 minutes of your life.

  • @avneetwadhwa4307
    @avneetwadhwa4307 7 років тому +1

    1st

  • @shawngleason7339
    @shawngleason7339 5 років тому

    Mark Wahlberg is teaching me math

  • @blackroses9801
    @blackroses9801 3 роки тому

    0:42 timestamp so i can have the formulas

  • @newrock7289
    @newrock7289 2 роки тому

    18:08 YOU SAVAGE

  • @jawnjawn2020
    @jawnjawn2020 4 роки тому +1

    Why he sound like Lil Tecca???