The sine function is given by the infinite series (2P.) 5 sin(x) = x + 3! 5! 7! i). What are the relative forward and backward errors if we approximate the sine function by using only the first term in the series, i.e. sin(x) ~ x, for x = 0.1, 0.5, and 1.0? ii). What are the relative forward and backward errors if we approximate the sine function by using the first two terms in the series, i.e., sin(x) ~ x -23/6, for x = 0.1, 0.5, and 1.0