3) Consider the Maclaurin's series for sin x. (a) [2 pts] Clearly write first (nonzero terms of the series. (b) [4 pts] Consider approximationg sin using first (nonzero terms. Show that the bound on remainder/error found by using "Taylor's theorem with remainder" and by considering the series as an alternating series, are identical. (c) [2 pts] Find the remainder/error bound when siny is approximated using first (nonzero terms of the Maclaurin's series for sin x