import math


def my_newton(n, x0):
    my_function = lambda x: x - (1 / (3 + math.sin(3.6 * x)))
    my_derivative = lambda x: 1 + (3.6 * math.cos(3.6 * x) / ((3 + math.sin(3.6 * x)) ** 2))
    newton = lambda x: x - my_function(x) / my_derivative(x)
    for i in range(1, n + 1):
        x0 = newton(x0)
        print(i, ' : ', x0)


def my_iteration(n, x0):
    my_function = lambda x: x - (1 / (3 + math.sin(3.6 * x)))
    my_derivative = lambda x: 1 + (3.6 * math.cos(3.6 * x) / ((3 + math.sin(3.6 * x)) ** 2))
    func_g = lambda x: 1 / (3 + math.sin(3.6 * x))
    for i in range(1, n + 1):
        x0 = func_g(x0)
        print(i, ' : ', x0)


x = 0
my_newton(20, x)
my_iteration(20, x)