x = 1.2 # assign some value

N = 100 # number of iteration # maximum power in sum

k = 1 #K initilization

s = x # first term in teh sin(x) expansion

sign = 1.0 #sign of the first term

import math

while k < N:

sign = - sign

k = k + 2

term = sign*x**k/math.factorial(k)

s = s + term

print('sin(%g) = %g (approximation with %d terms)' % (x, s, N))