5. The number is a solution of sin x = 0 close to 3 (see Figure 4). You will use Newton's method for sin x = 0 to create numerical estimates for . 223 Figure 4: Graph of y = sin r. (a) Write out the recursion for Newton's method used to solve sin x = 0. (b) Using Newton's method for sin x = 0 with r = 3, find the first n for which I, and In+1 agree to 5 digits after the decimal point. (Use radians, not degrees!)