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vvc531
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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
The equation is r = |sin(nθ)|, where r represents the distance from the origin and θ represents the angle in radians.
The absolute value in the equation represents the distance from the origin, which means that the graph will only show positive values for r.
Changing the value of n changes the number of "petals" in the graph. For example, if n is 2, there will be 2 "petals" in the graph, and if n is 4, there will be 4 "petals".
The range of the graph for r=abs(sin n theta) is between 0 and 1, since the absolute value will always result in a positive value for r.
This equation can be applied in real life to study the behavior of circular patterns, such as the growth of plants or the motion of objects in circular paths. It can also be used in signal processing and image processing to analyze and manipulate circular patterns.