if n is even,
r = a cos(n?) is a rosette with 2n leaves.
Think about it. cos(n?) goes from 1 to 0 every time n? grows by pi/2. So, in [0,2pi], 6? goes in and out 12 times.
You can always verify your work online, as at
http://www.wolframalpha.com/input/?i=r%3D5cos(6%CE%B8)
Given: 5cos6Θ
What is the shape of the function?
A. Limacon
B. Rose
C. Lemniscate
D. Circle
1 answer
0 answers