What is the general form of limacons and cardioids and how do you graph transformations?

Question

What is the general form of limacons and cardioids and how do you graph transformations?

1 Answer

Impact of this question

8423 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-03-14T18:13:30

You can find a lot of information and easy explained stuff in "K. A. Stroud - Engineering Mathematics. MacMillan, p. 539, 1970", such as:

enter image source here

If you want to plot them in Cartesian coordinates remember the transformation:
$x=rcos(theta)$
$y=rsin(theta)$

For example:
in the first one: $r=asin(theta)$ choose various values of the angle $theta$ evaluate the corresponding $r$ and plug them into the transformation equations for $x and y$ . Try it with a program such as Excel... it is fun!!!

Science

Math

Humanities

... and beyond

What is the general form of limacons and cardioids and how do you graph transformations?

1 Answer

Related questions

Impact of this question