It has been argued that the power spectrum of the anisotropies in the
cosmic microwave background may be effectively degenerate, namely, tha
t the observable spectrum does not determine a unique set of cosmologi
cal parameters. We describe the physical origin of this degeneracy and
show that at small angular scales it is broken by gravitational lensi
ng: effectively degenerate spectra become distinguishable at I similar
to 3000 because lensing causes their damping tails to fall at differe
nt rates with increasing l. This effect also helps in distinguishing n
early degenerate power spectra such as those of mixed dark matter mode
ls. Forthcoming interferometer experiments should provide the means of
measuring otherwise degenerate parameters at the 5%-25% level.