As a result of the persian wars,

a. sparta became completely controlled by athens
b. athens used its navy to control trade in the region
c. sparta used its military to keep athens in check
d. sparta was jubilant that athens took control of greece.

A. Sparta became completely controlled by Athens

Explanation:

The battles fought by Greek states and Persia over a period of almost half a century.  

Athens emerged as the leading city-state that led the rest of the Greek world. As the Persian threat had unified Greek cities, Athens controlled the military through the formation of the Delian League.

Persians suffered significant battles to the hands of the Greeks that were led by Athens.

After the Persian Wars, The formation of the Delian League, or Athenian League, in 478 B.C. discouraged Persians to ever put a foot into Greece so they stepped back. The end of the Persian Wars made Athens stands as the guardian and gave increased power and prestige

As a matter of fact, the competition between the Spartans and Athens led significantly to the Peloponnesian War and major civil wars between the own Greeks city-states began.

The image shows Greece between 490 and 479.: