5) Use the Taylor series corresponding to sin(x) and cos(x), centered at x = 0 that we studied in class, and find the Taylor series that represent sin?(x) and cos (x). (4 terms each are enough) 6) Use the results in part (5) to show that the Pythagorean Theorem is verified for the series representations; that is add the Taylor series for sin?(x) and cos?(x), and show that they add to 1