In [ ]: Many transcendental functions can be defined using infinite series. For example, the cosine function is defined by the infinite series: (-1)kx2k (2k)! def cosine_terms (x, tol): # your code goes here where tol is the required accuracy. the required Sample output for your code is: series expansion: cos (0.001) exact value: 1 approx value with 2 terms: 1 relative error: 4.16e-14 For fixed x, the terms in the series xk/(2k)! 0 as k oo. This suggests that we can approximate the cosine function using a finite sum. Write a function that will evaluate the cosine function using a finite sum: def cosine_series (x,N): # your code goes here where there are N +1 terms (from k = 0 to k = N) included in the sum. Use your function to evaluate cos(47/5) with N+1 = 6 terms. Write a separate function to determine the N required to give a required accuracy (as compared to the cos function from math or numpy ). The general structure of the the function is: Eva tol=1e- cos(x) = = 7. k=0