MHB Best Way to Graph in Polar Coordinates

Click For Summary
To graph the polar equation r = 3 - 5 cos θ, it is recommended to plot several points to accurately represent the curve, especially if it is not a standard form like a circle or ellipse. Using software like Maxima can help visualize the curve effectively. The importance of marking points is emphasized for non-standard curves to ensure accuracy. After plotting, comparing the results with a reference graph can validate the correctness of the plotted points. This method enhances understanding of polar coordinate graphs.
Amer
Messages
259
Reaction score
0
what is the best way to graph in polar coordinates say

r = 3 - 5 \cos \theta

is it to plot several points then make a curve between them or ?
 
Physics news on Phys.org
Re: Best way to Graph is polar

Amer said:
what is the best way to graph in polar coordinates say

r = 3 - 5 \cos \theta

is it to plot several points then make a curve between them or ?

Hi Amer,

Unless the curve given is a standard curve (circle, ellipse etc) or can be transformed into a standard form, we have to plot it by marking points. I drew your curve using Maxima.

http://imageshack.us/f/337/figure.png/
 
Re: Best way to Graph is polar

Sudharaka said:
Hi Amer,

Unless the curve given is a standard curve (circle, ellipse etc) or can be transformed into a standard form, we have to plot it by marking points. I drew your curve using Maxima.

http://imageshack.us/f/337/figure.png/

thanks so i need to plot some points. ok
 
Re: Best way to Graph is polar

Amer said:
thanks so i need to plot some points. ok

Yes. Try plotting it and see if it really fits the curve I have attached. :)
 
Thread 'Problem with calculating projections of curl using rotation of contour'

Thread 'Problem with calculating projections of curl using rotation of contour'

Hello! I tried to calculate projections of curl using rotation of coordinate system but I encountered with following problem. Given: ##rot_xA=\frac{\partial A_z}{\partial y}-\frac{\partial A_y}{\partial z}=0## ##rot_yA=\frac{\partial A_x}{\partial z}-\frac{\partial A_z}{\partial x}=1## ##rot_zA=\frac{\partial A_y}{\partial x}-\frac{\partial A_x}{\partial y}=0## I rotated ##yz##-plane of this coordinate system by an angle ##45## degrees about ##x##-axis and used rotation matrix to...
View full post »

Similar threads

MHB Where Do Polar Curves r=5sin(theta) and r=5cos(theta) Intersect?
  • · Replies 1 ·
Replies
1
Views
1K
I Using polar coordinates to describe rose petals
  • · Replies 5 ·
Replies
5
Views
2K
MHB Iterated Integral in Polar Coordinates
  • · Replies 4 ·
Replies
4
Views
2K
MHB Polar Equation to Cartesian Coordinates
  • · Replies 4 ·
Replies
4
Views
2K
I Simple dot product in polar coordinates
  • · Replies 20 ·
Replies
20
Views
7K
I Polar coordinates and unit vectors
  • · Replies 10 ·
Replies
10
Views
4K
MHB What are the key characteristics of polar curves like petals and limacons?
  • · Replies 1 ·
Replies
1
Views
2K
When plotting graphs in polar coordinates, how does one know when to
  • · Replies 1 ·
Replies
1
Views
2K
I How to find the maximum arc length of this equation?
  • · Replies 3 ·
Replies
3
Views
2K
B Area under the curve of a Polar Graph
  • · Replies 15 ·
Replies
15
Views
3K