The following function, f(x) is used to obtain data as shown in the table below. Derive Lagrange interpolating polynomials in radians to approximate (1.78NM) for the following data X f(x) 37 2 cos3x 2 4x = 1.35 4.94017 1.67 4.62459 1.99 4.47335 2.31 4.53966 For this question, you are required to determine the values of NM in the f(1.78NM) by using the last two (2) digits of your student ID. Example 1: SUKD1234567, N=6 and M = 7, your f(1.7867). Example 2: SUKD1234508, N=0 and M = 8, your f. (1.7808). Hence, calculate the percentage of relative error. (Calculate in 5 decimal places)