SOLUTION: How many petals will 5cos6Θ have? A.) 5 B.) 6 C.) 12 D.) None of these

Algebra ->  Test -> SOLUTION: How many petals will 5cos6Θ have? A.) 5 B.) 6 C.) 12 D.) None of these      Log On


   



Question 1080218: How many petals will 5cos6Θ have?
A.) 5
B.) 6
C.) 12
D.) None of these

Answer by Edwin McCravy(20062) 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