#! /usr/bin/env python

from typing import Final
import numpy as np
from numpy import pi
import matplotlib.pyplot as plt


amplitude: tuple[float, float] = (1, 1)
# frequent
omega: tuple[float, float] = (-1, -2)
# phase
phi: tuple[float, float] = (pi/2, 3*pi/4)

N: Final[int] = 100
T = np.linspace(0, 2*pi, num=N)
x = amplitude[0] * np.cos(omega[0]*T + phi[0])
y = amplitude[1] * np.cos(omega[1]*T + phi[1])

# plot
fig, ax = plt.subplots()
ax.plot(x, y, linewidth=2.0)

plt.show()