Python: Calculate sine/cosine with a precision of up to 1 million digits

Question

Question is pretty self-explanatory. I\'ve seen a couple of examples for pi but not for trigo functions. Maybe one could use a Taylor series as done here but I\'m not entire

Answer 1

import math
x = .5
def sin(x):
    sum = 0
    for a in range(0,50): #this number (50) to be changed for more accurate results
        sum+=(math.pow(-1,a))/(math.factorial(2*a+1))*(math.pow(x,2*a+1))
    return sum

ans = sin(x)
print(str.format('{0:.15f}', ans)) #change the 15 for more decimal places

Here is an example of implementing the Taylor series using python as you suggested above. Changing to cos wouldn't be too hard after that.

EDIT:

Added in the formatting of the last line in order to actual print out more decimal places.