What is the behavior of r = |sin(nθ)| in polar coordinates?

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Homework Help Overview

The discussion revolves around the behavior of the polar equation r = |sin(nθ)|, where n is a positive integer. Participants are exploring the characteristics of this function in polar coordinates and its graphical representation.

Discussion Character

  • Exploratory, Conceptual clarification

Approaches and Questions Raised

  • Participants are questioning how the graph of y = sin(nθ) compares to y = sin(θ) and what the implications are for the absolute value function. There is an interest in understanding the graphical behavior of |sin(nθ)|.

Discussion Status

The discussion is ongoing, with some participants attempting to describe the graph of |sin(nθ)| while others are seeking clarification on how to summarize their findings effectively. No consensus has been reached yet.

Contextual Notes

There is a noted lack of initial understanding regarding the graphical representation, and participants are encouraged to describe their observations without providing a definitive explanation.

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Homework Statement



Describe the behavior of
r= abs(sin n theta)
where n is a positive integer

Homework Equations



N/A

The Attempt at a Solution



I have no idea how to do this
 
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What does the graph of y = sin(n\theta) look like in comparison to the graph of y = sin(\theta)

Now what does the graph of y = |sin(n\theta)| look like?
 
I have done what u told me
However, i cannot come up with a good explanation to summarize the phenomena
 
How about just describing the graph you got (the one for y = |sin(n\theta)|?
 

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