#On the name of ALLAH and may the blessing and peace of Allah #be upon the Messenger of Allah Mohamed Salla Allahu Aliahi Wassalam. #Author : Fouad Teniou #Date : 06/07/10 #version :2.6 """ maclaurin_sin is a function to compute sin(x) using maclaurin series and the interval of convergence is -inf < x < +inf sin(x) = x - x^3/3! + x^5/5! - x^7/7! ........... """ from math import * def maclaurin_sin(value,k): """ Compute maclaurin's series approximation for sin(x) """ global first_value first_value = 0.0 #attempt to Approximate sin(x) for a given value try: for item in xrange(1,k,4): next_value = (value*pi/180)**item/factorial(item) first_value += next_value for item in xrange(3,k,4): next_value = -1*(value*pi/180)**item/factorial(item) first_value += next_value return first_value #Raise TypeError if input is not a number except TypeError: print 'Please enter an integer or a float value' if __name__ == "__main__": maclaurin_sin1 = maclaurin_sin(70,100) print maclaurin_sin1 maclaurin_sin2 = maclaurin_sin(45,100) print maclaurin_sin2 maclaurin_sin3 = maclaurin_sin(30,100) print maclaurin_sin3 ##################################################################### #"C:\python #0.939692620786 #0.707106781187 #0.5 #####################################################################