OMG, how can you make something complicated feel so easy? Thank you. You know how many pages I read trying to understand that thing, I spent days reading and I learned nothing. 5 minutes of watching your videos made it crystal clear. Thank you very much, Genius.
Polar coordinates are pretty easy though, think of it as a vector, a vector can be represented in 2 ways, either with x, y, z (sometimes more) coordinates or with direction (well if you wanted to do it in 3 dimensions you'd need spherical coordinates) and magnitude
Mr. Dave I hope you know I’m happy you’re alive and decided to have this chanel . You have no idea if you wouldn’t have made this video. I would’ve been lost thank you 🙏
Just dropping by to say thanks, thanks a whole lot. I checked a lot of sources but none of them explained it as clearly as you did, with some of them straight up skipping things like graphing polar equations and/or turning from polar form to rectangular form.
What i think is interesting is that those polar functions on the graphic calculator at the end looked kinda like Atomic orbitals. coincidence? I think not!
Is the solution to the very last quiz r=4sin(Theta) correct? Because I did follow the same methods and they aligned well enough for the first two steps, but I don't think the last step should show the X^2 as being unaffected with the removal of Y on the other side. I feel like the correct solution should be more like (X^2/Y) + Y = 4.
He did it by completing the square. Starting at x^2 + y^2 = 4y, we start by moving 4y to the other side, and flipping the sign. We can then add and subtract 4 (the square of half the coefficient of the y term), like so: x^2 + y^2 - 4y + 4 - 4 = 0. We move the last 4 over to the other side, and y^2 - 4y + 4 can now be rewritten as (y - 2)^2, giving us x^2 + (y - 2)^2 = 4.
Hi there! Can you help me with these awful problems? And please, can you do several videos about these specifics sort of problems r=2 r= 2 theta r=sin theta r=sin 3theta r= sin 4theta r=sin^2 2theta r= 3(1 - cos theta) r= 2 + cos theta 3= r cos (theta + pi/6) Change the equation {r^2 = sec 2 theta} To Cartesian coordinates and sketch its graph. Find all the points where these two curves intersect. r= 4(1 + cos theta) 3= r (1 - cos theta) Proof that the equation of the line y = mx + b is the equivalente to the equation d/r = sin(theta - theta°) Then find expressions for m and b in terms of d and theta° . Give several values of n r= sin (n theta) Thanks a lot for read my comment and for you time.
Why i made graph of r=6sin(θ) has two circles? (when θ between 0 and 180，The circle is above the x-axis； while the circle is under the x-axis, θ is between 180 and 360) when i make graph by myself???
Can someone please explain why he can reduce r²=6r*sin(theta) to r=6sin(theta)? This is a quadratic equation and normally you'd handle these by factoring. So why the deviation here?
why not? it's not about solving an equation but about change the equation in the way to get what we want. In fact, quadric equation required you to do that too, every equation do. You can do what ever you want as long as you do it in both side
theta isn't an axis, it's the angle. R isn't an axis either, it's the radius of the object being drawn, or the hypotenuse of, essentially, an invisible triangle you can draw.
acha hua bta dia bhai tune pr vh tera chacha hai na videshi hai usse hindi smjh nh aati so dude if uh know english then plss translate ur comment for him
OMG, how can you make something complicated feel so easy? Thank you. You know how many pages I read trying to understand that thing, I spent days reading and I learned nothing. 5 minutes of watching your videos made it crystal clear. Thank you very much, Genius.
⁰
There is a good chance most of what you learned came from that reading though... and then this video crystalized everything! :)
Polar coordinates are pretty easy though, think of it as a vector, a vector can be represented in 2 ways, either with x, y, z (sometimes more) coordinates or with direction (well if you wanted to do it in 3 dimensions you'd need spherical coordinates) and magnitude
Mr. Dave I hope you know I’m happy you’re alive and decided to have this chanel . You have no idea if you wouldn’t have made this video. I would’ve been lost thank you 🙏
Just dropping by to say thanks, thanks a whole lot. I checked a lot of sources but none of them explained it as clearly as you did, with some of them straight up skipping things like graphing polar equations and/or turning from polar form to rectangular form.
Read this today in a book and my concepts weren't as crystal clear before this!! Thanks so much! ♡♡
U channel is underrated... Ur videos is literally very useful for me Thanks for ur great work
This makes sense?! You put my math teacher to shame
I'm glad you turned out ok Dave. Quite glad.
6:27 graphing polarequations
cheers mate I needed this
Thank you sir for your dedication and for making this free! 🙏
Thank you! Very helpful. Was looking at other videos but they didn’t explain it as clearly
This is so helpful. Highly recommended video to anybody reading this before watching.
“I turned out ok.” 😂
Debatable 😂
Don’t ever disrespect our god like that again
@@supremeleader9579 *Science Jesus
@@supremeleader9579 allah is the only god did you understand
@@blackeagle5392 Not everyone is Muslim. Although MLM, I don't think it is morally right for you to force your religion upon others.
I’m in calc 2 and I’ve NEVER leaned this thanks you so much
Thanks for your explanation
Thank you so much sir 😊 you cleared all doubt
Asslam o alikum. Thank you professor Dava. Have a good day.
man you have saved my ❤️
how can anyone not LOVE you?!!
Thank god, knowing that you are ok . Love from INDIA
What i think is interesting is that those polar functions on the graphic calculator at the end looked kinda like Atomic orbitals. coincidence? I think not!
Sir thanks for this act of kindness , thats very easy methode to convay these concepts to us ....
yooooo this was amazing, hoping to find the whole series
This video is very helpful. Each & everything is explained very nicely .
Thanks for such an amazing video ..😇
Great video, thanks a lot!
Yep, we are all here because test is tomorrow!
Here for a test today😂
Excellent video.
Mindblowing explanation sir.
🙏🙏🤗🤗🥰🥰
You have done a great job here i appreciate your work 🥳🥳
"And I turned out okay"
Sure, professor Dave, sure
very nicely explained
you understand the students
you are professor in true sense
“He he knows alot about all kinds of stuff! Ohh it’s Professor Dave Explains!”
Don’t forget about the science stuff 😉
Is the solution to the very last quiz r=4sin(Theta) correct? Because I did follow the same methods and they aligned well enough for the first two steps, but I don't think the last step should show the X^2 as being unaffected with the removal of Y on the other side. I feel like the correct solution should be more like (X^2/Y) + Y = 4.
He did it by completing the square. Starting at x^2 + y^2 = 4y, we start by moving 4y to the other side, and flipping the sign. We can then add and subtract 4 (the square of half the coefficient of the y term), like so: x^2 + y^2 - 4y + 4 - 4 = 0. We move the last 4 over to the other side, and y^2 - 4y + 4 can now be rewritten as (y - 2)^2, giving us x^2 + (y - 2)^2 = 4.
Another Butterfly equation: r=(theta)•sin(theta)•cos(theta)
I learned how to Convert polar to redtangular equation
Hi there!
Can you help me with these awful problems?
And please, can you do several videos about these specifics sort of problems
r=2
r= 2 theta
r=sin theta
r=sin 3theta
r= sin 4theta
r=sin^2 2theta
r= 3(1 - cos theta)
r= 2 + cos theta
3= r cos (theta + pi/6)
Change the equation
{r^2 = sec 2 theta}
To Cartesian coordinates and sketch its graph.
Find all the points where these two curves intersect.
r= 4(1 + cos theta)
3= r (1 - cos theta)
Proof that the equation of the line
y = mx + b
is the equivalente to the equation
d/r = sin(theta - theta°)
Then find expressions for m and b in terms of d and theta° .
Give several values of n
r= sin (n theta)
Thanks a lot for read my comment and for you time.
do ur own homework
@@octavylon9008 😂 dude straight copied the teacher's HW.
It's good for me
Thank you, sir!
Thank you 😊
Thank you
Please make video on Fourier transform sir
it is really good
Thanks was so helpful👏👏👍
Good video !
Merci beaucoup sir❤
Dave, it seems that this video is not in the trigonometry playlist
thnks a lot
Why i made graph of r=6sin(θ) has two circles? (when θ between 0 and 180，The circle is above the x-axis； while the circle is under the x-axis, θ is between 180 and 360) when i make graph by myself???
Thank you 🙏🙏
Could u pls make videos on Argand plane and polar representation.
6 years ago😌⭐
Done.
Thank you calculus Jesus. ❤️
Can someone please explain why he can reduce r²=6r*sin(theta) to r=6sin(theta)?
This is a quadratic equation and normally you'd handle these by factoring. So why the deviation here?
why not? it's not about solving an equation but about change the equation in the way to get what we want. In fact, quadric equation required you to do that too, every equation do. You can do what ever you want as long as you do it in both side
also for your question
r² = 6rsin(theta)
if you divide by r in both side you get
r = 6 sin(theta)
simple as that
Hah, I was just plotting a polar chart yesterday. Coincidence? I don't think so... *X-Files theme*
How to determine the points we plug into the equation to make the graph ?
In his video he took 0,30,45,60,90 degrees for θ since those are the most common angles.
Otherwise you can guess which will be most useful to you
can i have the answer for the last, sir ?
Thanks #lifesaver
AND I TURNED OUT OK
Helpful🙏
Is the radius not 2??
It would be a bit more helpful if you could indicate which axis is theta and r. Thanks for the video.
theta isn't an axis, it's the angle. R isn't an axis either, it's the radius of the object being drawn, or the hypotenuse of, essentially, an invisible triangle you can draw.
thanks a lot :)
how to add sub divide and multiple degree with out calculator
12th grade physics has summoned me here
very interesting thank you :))
الف رحمه على روح اهلك
8:47 why did you multiply r sir
Yup Finally I understand this although I know this 😂😂😂😂
acha hua bta dia bhai tune pr vh tera chacha hai na videshi hai usse hindi smjh nh aati so dude if uh know english then plss translate ur comment for him
U legend
Oh jesus what are you doin here
❤
I read and understand at once, I watch videos I dont get sh1t.
ممكن تشرح عربي 😊
🎉
Add translation please 😭❤️
Bro build like christ
Can jesus explain Polar coordinates though? 🗿🗿
sounds dead wtf