%matplotlib inline
import numpy as np
import matplotlib.pyplot as pl
import math as m

#y=1

def func(x):
    return x - 0.5*m.sin(x) - 1

def derivFunc(x):
    return 1 - 0.5*m.cos(x)

x = 1

iterations = 0

h = func(x) / derivFunc(x)

while abs(x - 0.5*m.sin(x) - 1) >= 0.0000000001:
    x = x - func(x)/derivFunc(x)
    print ("Iteration", iterations + 1, "    ", x)
    iterations = iterations + 1

print(" ")
print("Iterations", iterations)
print(" ")
print("The value of x is: ", "%.16f"% x)