Given the function f(x) = sin a) Find a Taylor polynomial of degree 2 to approximate this function at a = 0. b) Use this polynomial to approximate f(0.2). c) Find the value of f(0.2) using a calculator. d) What is the difference between the values obtained in part b and part c? e) Use a graphing program and graph the function and the polynomial on the interval [-4, 4].