Final answer:
The student's question involves calculating a complex contour integral using the residue theorem, not directly related to the provided reference materials.
Step-by-step explanation:
The student is asking about evaluating a contour integral involving a complex function f(z). Unfortunately, the provided information is not directly relevant to solving the given integral, but we can use the method of residues to find the solution to this problem. To evaluate the contour integral ∮(|z|=1) f(z)*cos(z)/z³ * dz, one should identify the poles of the integrand within the unit circle and apply the residue theorem. Since the integrand involves cos(z), we can also consider the Laurent series expansion of cos(z) at z = 0 to find the coefficients corresponding to negative powers of z, which contribute to the residue used in the integral calculation.