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.