As resident, taxes are paid in India for Interest income. Gross interest income (inclusive of TDS) is declared while filing US tax. Where is Tax Credit to avoid double?

Turbo Tax talks abut Tax Deduction or Credit using Kay example. Let's assume for India Income you already paid $3000 tax in India in I.Rs. If this India Income is removed in Turbo, you owe no US tax$, because US standard deduction takes care while adding US Income. Now If you add India Income, you end up paying close to $3000 US Tax...Where and how Tax Credit applicable? Where is Double Taxation Avoidance. Should India Tax is deducted (while declaring income) and you still pay USA Tax for the net amount? Turbo Tax's KAY example, doesn't seem to help....