Функция y=sin(x) в Python

from tkinter import *
import math
 
root = Tk() #создание главного окна
root.title("График функции y = sin (x)")
 
width = 700
height = 600
center = height//2
x_increment = 1 #инкремент
x_factor = 0.04 #множитель
y_amplitude = 100
 
canv = Canvas (width=width, height=height, bg = 'white')
canv.pack()
 
center_line = canv.create_line(0, center, width, center, fill='green', arrow = LAST)
height_line = canv.create_line(100, 400, 100, 100, fill='green', arrow = LAST)
canv.create_line (100, 100, 100, 800, fill='green')
 
xy1 = []
for x in range(700):
    xy1.append(x * x_increment)
    xy1.append(int(math.sin(x * x_factor) * y_amplitude) + center)
 
xy2 = []
for x in range(700):
    xy2.append(x * x_increment)
    xy2.append(int(math.sin(x * (x_factor*2)) * y_amplitude - 40) + center)
    
def sin(event):
    sin_line = canv.create_line(xy1, fill='blue')
 
def sin2(event):
    sin_line = canv.create_line(xy2, fill='blue')
    
 
b = Button(text='y = sin(x)', width=10, height=3)
b.bind('<Button-1>', sin)
 
b.pack(side='left')
 
a = Button(text='y = sin2x', width=10, height=3)
a.bind('<Button-1>', sin2)
 
a.pack(side='left')
 
root.mainloop() #отображение окна при запуске программы