Construct an analytic function f(z) = u(x, y)+v(x, y), where z = x+y given the imaginary part

Construct an analytic function f(z) = u(x, y)+ιv(x, y), where z = x+ιy given the imaginary part v(x, y) = sinh x cos y. Also obtain u(x, y), the real part of the function f(z).