00 Consider the Maclaurin series for sin x and cos z 22k+1 sin x = (-1) ko (2k +1)! 22k and 00 COSTE k-0 Σ(-1). (2k)! Using the power series above it follows that the Maclaurin series for cos? x is given by 00 cos? 1 = A + Bx2 + C24+...= A+ (-1)kak 2k (2k)! k=1 where A B= C= and (Hint: use the trigonometric identity for cos? («) in terms of cos(2.c))