Consider the function f(x)1sin(x) (a) (3 points) Is f(x) well-conditioned or ill-conditioned for values of x close to ? Is or ill-conditioned for values of r close to 0.5? To answer this, do the following. Consider the condition number f'()/f(), and evaluate this for f(x) well-conditioned x = 1.56 and x 0.51 in radians. (b) (3 points) What is the relative error in these two cases? Briefly explain how you interpret the condition number to arrive at your conclusions