SOLUTION: What's the shape of r = 5cos6Θ A.) Limacon B.) Rose C.) Lemniscate D.) Circle

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Question 1080219: What's the shape of r = 5cos6Θ
A.) Limacon
B.) Rose
C.) Lemniscate
D.) Circle
Answer by Edwin McCravy(20064) About Me  (Show Source):
You can put this solution on YOUR website!
To learn about this type problem, go here:

http://math.illinois.edu/~rasekh2/math231(s2016)/PolarEquations.pdf

The graph of the polar equation 

matrix%281%2C3%2Cr%2C%22%22=%22%22%2Ca%2Asin%28n%2Atheta%29%29
or
matrix%281%2C3%2Cr%2C%22%22=%22%22%2Ca%2Acos%28n%2Atheta%29%29

is a rose with n or 2n equally-spaced petals, 
each of length = a.

If n is odd, there will be n-petals.
If n is even, there will be 2n petals.

If it's sine, one petal is bisected by the y-axis.
If it's cosine, one petal is bisected by the x-axis.

Edwin