The Table API for Cosmos DB uses Azure Tables that are present in Azure Storage Services, but adds a couple of extra features and functionality on top of them

Azure TablesCosmos DB
Fast, no upper bound on latencySingle digit latency
Variable throughput limited to 20,000 operation/sGuaranteed backed by SLA. No upper limit on throughput
Single region30+ regions
Only Primary indexAutomatic and complete indexing on all properties