We study the ability of future cosmic microwave background anisotropy exper
iments and redshift surveys to constrain a 13-dimensional parameterization
of the adiabatic cold dark matter model. Each alone is unable to determine
all parameters to high accuracy. However, considered together, one data set
resolves the difficulties of the other, allowing certain degenerate parame
ters to be determined with far greater precision. We treat in detail the de
generacies involving the classical cosmological parameters, massive neutrin
os, tensor-scalar ratio, bias, and reionization optical depth as well as ho
w redshift surveys can resolve them. We discuss the opportunities for inter
nal and external consistency checks on these measurements. Previous papers
on parameter estimation have generally treated smaller parameter spaces; in
direct comparisons to these works, we tend to find weaker constraints and
suggest numerical explanations for the discrepancies.