Given the function f(x) = sin (x), linearize f(x) about the point pi/2. That is, a = pi/2. Also develop the second order Taylor series about the point pi/2. Now plot sin(x) and the first (linear) and second order approximations versus x from x = 0 to x = pi in increments of pi/16. Use Excel or MATLAB to make the plots. Also plot the difference between sin(x) and the two approximations