A particle moves in the the `x-y` Plane according to the scheme `x-8 sin pit`, where `t` is time. Find equation to the path of the particle. Show the path on a graph.

Explanation

To find the equation of the path of the particle moving in the x-y plane, we are given the equations for x and y in terms of time t:

1. \( x = 8 \sin(\pi t) \)
2. \( y = -2 \cos(2 \pi t) \)

We need to eliminate the parameter \( t \) to find the relationship between \( x \) and \( y \).

### Step 1: Express \( \sin(\pi t) \) in terms of \( x \)
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