Using Matlab solve the following Q, calculate also all error types

To calculate a planet's coordinates, we have to solve the function f(x) = x - 1 - 0.5 sin x Let the base point be a = x_i = pi/2 on the interval [0, pi], Determine the highest-order Taylor series expansion resulting in a maximum absolute value of the difference between the given function and the specific Taylor series expansion. (solve graphically.)