are called Lissajous figures. Investigate how these curves
vary when a, b and n vary. (Take n to be
a positive integer.)
Solution:
| a = 1, b = 1, n= 1
| a = 1, b = 2, n=1
| a = 2, b = 2, n=2
|
| a = 1, b=2, n = 4
| a = 2, b = 2, n = 4
| a = 2, b= 1, n = 8
|
By plotting the parametric equation using different values of a, b and n we can draw the conclusion that as |a| and |b| increase the 'radius' increases in the x and y directions respectively. The value of n determines the number of loops the figure will have.
by: nl