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

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

Пікірлер: 141

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor Жыл бұрын

    Graphing Polar Equations: kzread.info/dash/bejne/e4Bmz69tc9PWd8o.html De Moivre's Theorem: kzread.info/dash/bejne/mGSpsdejnc-Zgbg.html The Dot Product - Vectors: kzread.info/dash/bejne/i6iikplpoM7UZZc.html Next Video: kzread.info/dash/bejne/mIh2zdRrZ9WZoNo.html Rectangular to Polar: kzread.info/dash/bejne/mIh2zdRrZ9WZoNo.html

  • @jaxon3604
    @jaxon36043 жыл бұрын

    this channel should be called "The Life Saver"

  • @gavingoble6031

    @gavingoble6031

    Жыл бұрын

    Your good bro

  • @azulmezastrahm7015

    @azulmezastrahm7015

    6 ай бұрын

    For real

  • @jacobduchi6610

    @jacobduchi6610

    5 ай бұрын

    Fr

  • @railx2005

    @railx2005

    4 ай бұрын

    I like how this shit is way more effective than my prof yapping for an hour

  • @AMMstudios
    @AMMstudios6 жыл бұрын

    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 жыл бұрын

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  • @muhammadrafiq8203

    @muhammadrafiq8203

    2 жыл бұрын

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

  • @elvismora7378

    @elvismora7378

    2 жыл бұрын

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

  • @guesswhoiam7139
    @guesswhoiam71393 ай бұрын

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

  • @Rackaboni

    @Rackaboni

    3 ай бұрын

    Me too bro

  • @Benedict_Miriti
    @Benedict_Miriti4 жыл бұрын

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

  • @yonathanabay9668

    @yonathanabay9668

    Жыл бұрын

    feel u bro

  • @ItsPouring
    @ItsPouring6 жыл бұрын

    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 жыл бұрын

    Why not one millionth power?

  • @Vic-go7zu

    @Vic-go7zu

    4 жыл бұрын

    He’s a mexican dude

  • @ItsPouring

    @ItsPouring

    4 жыл бұрын

    @@joshmayes1538 I like that even better👍

  • @Refuse2Lose33

    @Refuse2Lose33

    3 жыл бұрын

    @@joshmayes1538 Nah, 10 to the googol power!

  • @cooperchavez999

    @cooperchavez999

    3 ай бұрын

    Why are you here then

  • @sierrabriscoe2315
    @sierrabriscoe23155 жыл бұрын

    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
    @zayrameza89865 жыл бұрын

    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

    3 жыл бұрын

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

  • @tiddyboy3490

    @tiddyboy3490

    2 жыл бұрын

    BRUHHH MY LECTURER LITERALLY BE TALKING TO HERSELF

  • @amakboul9401
    @amakboul94016 жыл бұрын

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

  • @John-bq1lp

    @John-bq1lp

    5 жыл бұрын

    yes!! so much better

  • @azzanporter4377

    @azzanporter4377

    3 жыл бұрын

    Facts

  • @soski.m5847

    @soski.m5847

    2 жыл бұрын

    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-calotte21994 жыл бұрын

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

  • @fawzimohammed8303
    @fawzimohammed83036 жыл бұрын

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

  • @isabellasilveira4874
    @isabellasilveira48746 жыл бұрын

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

  • @adamkadaban
    @adamkadaban5 жыл бұрын

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

  • @rachels9340
    @rachels93406 жыл бұрын

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

  • @WHATEVERKEKESAYS
    @WHATEVERKEKESAYS5 жыл бұрын

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

  • @nickzav
    @nickzav5 жыл бұрын

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

  • @zcarla3
    @zcarla36 жыл бұрын

    i loooove your channel, thanks for everything!

  • @georgesadler7830
    @georgesadler78302 жыл бұрын

    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 KZread TV with the Organic Chemistry Tutor.

  • @laurens3857
    @laurens38572 жыл бұрын

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

  • @ananyakanagal

    @ananyakanagal

    Жыл бұрын

    Did you get an A?

  • @adrianapinon563
    @adrianapinon5632 жыл бұрын

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

  • @yonathanabay9668
    @yonathanabay9668 Жыл бұрын

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

  • @etrevivo2604
    @etrevivo26043 жыл бұрын

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

  • @thunderpocky6034
    @thunderpocky603412 күн бұрын

    I dont understand any other trig teacher other than you my dude, my adhd self thanks you, lets hope i get my enginnering degree lol.

  • @angelaescobosa1628
    @angelaescobosa16282 жыл бұрын

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

  • @becapape576
    @becapape5766 жыл бұрын

    This video saved my grade! THANK YOU!

  • @kirstenbrickley1555
    @kirstenbrickley15557 жыл бұрын

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

  • @micahpalin6136
    @micahpalin61363 жыл бұрын

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

  • @acesk8z579
    @acesk8z5795 жыл бұрын

    This helped a lot sir! thank you

  • @bryanamezcua4556
    @bryanamezcua45568 ай бұрын

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

  • @mustafaalbairmani9618
    @mustafaalbairmani96184 жыл бұрын

    Watch the ads guys, he deserves it.

  • @stevegreen5638
    @stevegreen56386 жыл бұрын

    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 жыл бұрын

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

  • @alsilver7780

    @alsilver7780

    6 жыл бұрын

    That’s the way I thought of too

  • @tiernanomahoney8826

    @tiernanomahoney8826

    5 жыл бұрын

    Me too I was like WHHYYYYY

  • @kapundapanduhi7259

    @kapundapanduhi7259

    2 жыл бұрын

    yeah ,gotchu ...well done !!

  • @xyronnedavidyabut394
    @xyronnedavidyabut3945 жыл бұрын

    Thank you, as always.

  • @Gulrukh-bl1vq
    @Gulrukh-bl1vq4 ай бұрын

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

  • @mrblackbird6936
    @mrblackbird69363 жыл бұрын

    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.

  • @miraisilva5507
    @miraisilva55072 жыл бұрын

    you are a lifesaver. thank you so much

  • @seeni4647
    @seeni46472 жыл бұрын

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

  • @ancientdrax6141
    @ancientdrax6141 Жыл бұрын

    you are the greatest

  • @TopStrikerMaverick
    @TopStrikerMaverick5 жыл бұрын

    Your voice pierces through my earwax.

  • @TopStrikerMaverick

    @TopStrikerMaverick

    5 жыл бұрын

    Dumbass: “ya heard of Q tips?”

  • @MartinMusonda-oe1on
    @MartinMusonda-oe1on Жыл бұрын

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  • @bhargavgandavarapu3617
    @bhargavgandavarapu3617 Жыл бұрын

    bro this dude is the goat

  • @saramahmoud9280
    @saramahmoud9280 Жыл бұрын

    you are my hero 💗

  • @Ca11mewhatever
    @Ca11mewhatever Жыл бұрын

    YOU ARE A HERO

  • @MohamedNasser-lu4go
    @MohamedNasser-lu4go6 жыл бұрын

    very nice thanks a lot

  • @MakimaDog
    @MakimaDog5 жыл бұрын

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

  • @fatimaalfehaid
    @fatimaalfehaid5 жыл бұрын

    Thank you till ♾❤️..

  • @kimanicoates9609
    @kimanicoates96094 жыл бұрын

    Very helpful

  • @compunerd
    @compunerd4 жыл бұрын

    you're the bomb dude

  • @valentiabusi436
    @valentiabusi4364 жыл бұрын

    Thanks sir 🙌

  • @monkeygenerator6394
    @monkeygenerator63942 жыл бұрын

    Thanks homie

  • @Stereo-hb2lo
    @Stereo-hb2lo2 жыл бұрын

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

  • @vinay9755
    @vinay97552 жыл бұрын

    🙏👌👌👌Beautiful explanation 😊😊☺️☺️

  • @user-hy4xp2wz4u
    @user-hy4xp2wz4u Жыл бұрын

    thanks!

  • @alexandesebastiao261
    @alexandesebastiao2612 жыл бұрын

    thanks a lot!!!

  • @rossa5929
    @rossa5929 Жыл бұрын

    Thanks

  • @michaelshanereynolds3458
    @michaelshanereynolds34585 жыл бұрын

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

  • @stickynoteorigami_
    @stickynoteorigami_3 ай бұрын

    Thanks gang

  • @trapgodcasual
    @trapgodcasual2 жыл бұрын

    thank you

  • @migueltejada7794
    @migueltejada77946 жыл бұрын

    thanks

  • @MP-im7un
    @MP-im7un5 жыл бұрын

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

  • @alexocaber
    @alexocaber Жыл бұрын

    goated fr fr

  • @afpl.4902
    @afpl.49023 жыл бұрын

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

  • @oooo0O0oooo
    @oooo0O0oooo Жыл бұрын

    Nice

  • @lucasargandona4658
    @lucasargandona46585 жыл бұрын

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

  • @Tei_022
    @Tei_022 Жыл бұрын

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

  • @akshatmittalistheawesomeperson
    @akshatmittalistheawesomeperson3 жыл бұрын

    Saved my ass for polar test. big thanks

  • @60Minute_fitness
    @60Minute_fitness9 ай бұрын

    The goat 🐐

  • @fraggatron6114
    @fraggatron6114 Жыл бұрын

    Holy shit super helpful

  • @TwoStepGoodbye
    @TwoStepGoodbye Жыл бұрын

    Nobody on KZread makes better videos.

  • @niyatishah7492
    @niyatishah74927 жыл бұрын

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

  • @njabulonelani6501

    @njabulonelani6501

    2 жыл бұрын

    just did

  • @josephpark6368
    @josephpark63683 жыл бұрын

    tysm

  • @tobiaschapinda6771
    @tobiaschapinda67713 жыл бұрын

    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

  • @sparemedat5453
    @sparemedat54532 ай бұрын

    8:26 can we multiply both sides by sin?

  • @147hpkia
    @147hpkia4 жыл бұрын

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

  • @willpugh-calotte2199

    @willpugh-calotte2199

    4 жыл бұрын

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

  • @ratandeep6694
    @ratandeep66943 жыл бұрын

    legend

  • @janetyang2089
    @janetyang20895 жыл бұрын

    i love you

  • @yvonne8liu

    @yvonne8liu

    5 жыл бұрын

    Janet Yang love u too

  • @SequinBrain
    @SequinBrain4 жыл бұрын

    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!

  • @lyriec69
    @lyriec693 ай бұрын

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

  • @anikatnand9070
    @anikatnand90705 жыл бұрын

    how to find rectangular coordinates in polar equations

  • @andrewfresnics2841
    @andrewfresnics28413 ай бұрын

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

  • @ManpreetSingh-ms3sh
    @ManpreetSingh-ms3sh7 жыл бұрын

    👍👍👍👍👍👍

  • @sawyer27100
    @sawyer271005 жыл бұрын

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

  • @NobleTries
    @NobleTries2 жыл бұрын

    all hail the one and only OCT

  • @Squabetty
    @Squabetty3 ай бұрын

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

  • @howtogaintime739
    @howtogaintime7393 жыл бұрын

    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?

  • @joelnamabwaza3896
    @joelnamabwaza3896 Жыл бұрын

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

  • @senatororeocream455
    @senatororeocream455 Жыл бұрын

    slayed

  • @bupe.m.2215
    @bupe.m.22153 жыл бұрын

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

  • @zyrxom
    @zyrxom2 жыл бұрын

    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 жыл бұрын

    You can’t have r in a rectangular equation

  • @rajeshkumarbehera515
    @rajeshkumarbehera515 Жыл бұрын

    R=5+cos³theta Please solve

  • @anikatnand9070
    @anikatnand90705 жыл бұрын

    how to find rectangular using polar equations

  • @user-sf9gs2pg1b
    @user-sf9gs2pg1b Жыл бұрын

    6:44 (bookmark for self)

  • @renegadedonutshorse
    @renegadedonutshorse3 жыл бұрын

    thank you for making this ridiculous shit somewhat easier to swallow

  • @jalanimoeono3088
    @jalanimoeono30883 жыл бұрын

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

  • @shawngleason7339
    @shawngleason73395 жыл бұрын

    Mark Wahlberg is teaching me math

  • @shagullahmad2303
    @shagullahmad23033 жыл бұрын

    ❤❤

  • @di-riso
    @di-riso10 ай бұрын

    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

  • @avneetwadhwa4307
    @avneetwadhwa43077 жыл бұрын

    1st

  • @blackroses9801
    @blackroses98013 жыл бұрын

    0:42 timestamp so i can have the formulas

  • @bubgnigurhiugeguejr8923
    @bubgnigurhiugeguejr89235 жыл бұрын

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

  • @jawnjawn2020
    @jawnjawn20204 жыл бұрын

    Why he sound like Lil Tecca???