1. The problem statement, all variables and given/known data Find the maximum value of f(z) = exp(z) over | z - (1 + i) | ≤ 1 2. Relevant equations |f(z)| yields the maximum value 3. The attempt at a solution f(z) = exp(x) ( cosy + i siny) Unfortunately that's all i've got. I've seen examples with polynomials, but not with trigonometric functions. Please, any help?