Constructing Lissajous Figures using Reference Circles

[u/ShortWeird3527]

Im used to questions with pi/4,pi/2 but havent done any with pi/3 or pi/6 so should we be dividing the circle into 6 and 12 parts or? So could anyone help with this question.

Two vibrations at right angles to one another are described by the equations

x = 10 cos(5πt)

y = 10 cos(10πt + π/3)

Construct the Lissajous figure of the combined motion.

Plz help as i have my exams coming soon and the professors wont help.

[u/TemporarySun314]

you need to think about what quantization you need to be able to use the periodicity of the cosine function. Because then you can relate both equations.

Maybe it helps if you plot the two functions, both as 2D and as two 1D graphs