Limacon Curves
Key Questions
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Limaçon curves look like circles. They have various types depending on the values in their equations.
In the image below, for example, the types of limaçon curves are: dimpled, cardioid, and looped (respectively).
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Answer:
It's easiest to watch a video of this.
Here's one I made a while backExplanation:
I think the video will help you out a lot.
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Answer:
#r^2=a^2 cos 2theta# .
The graph is the fallen eight, looking like the symbol#oo# ...Explanation:
For the double loop of
#r^2=a^2 cos 2theta, cos 2theta >=0# .So, the range for
#theta in [0, 2pi]# excludes#(pi/4, (3pi)/4)# and#((5pi)/4, (7pi)/4)# , Here,#cos 2theta < 0# ...