An object is moving counter-clockwise along a circle with the centre at the origin. At \(t=0\) the object is at point \(A(0,5)\) and at \(t=2\pi\) it is back to point \(A\) for the first time.

In the 1800s, a French mathematician named Jules Lissajous began using parametric equations, beams of light, mirrors, and vibrating tuning forks to investigate harmonic motion creating what is known ...