Create this using the Python Programming language.

(a) Write a function that calculates the Taylor expansion 23 sin(x) = x - 2 25 + 27 7 + ... with a nested function that evaluates the factorial part. The function should take the number of terms in the expansion as a keyword argument (i.e. with a default value). Hint: iterate with a loop, using (-1) **i to determine the plus/minus sign, and make the odd numbers from i. Document what your code is doing so that both we and future-you would understand how you wrote the function. (b) Using x = 7/2, compare your function with numpy.sin(). Use %timeit to see which function is faster. Print the results alongside the --name-- of the function used, using the f-string to show the numbers with at least 5 decimal places. Use a Boolean to say whether they are equal