Need help with this numerical analysis / scientific computing question. Scripts can be written using MATLAB or Python

1. The function fi(z, ) cos(x + )-cos(x) can be transformed into another form, f2(x, 6), using the trigonometric formula cos() _ cos(p) =-2sin ( sin [ Thus, fi and f2 have the same values, in exact arithmetic, for any give argument values x and . a) Derive f2(x,6). b) Write a MATLAB script which will calculate g1(x, ) A(x, )/5+ sin(x) and g2(x, ) fg(a, )/5+ sin(x) for x 3 and 1.e-11. c) Explain the difference in the results of the two calculations