The kitchen sink has a hole on top for installation of a sprayer. It also seems to have an independent copper pipe with a valve underneath however, there are no threads on this copper pipe for threading a tube from the top to the copper pipe. The copper pipe is capped.

The kitchen sink has a hole on top for installation of a sprayer. It also seems to have an independent copper pipe with a valve underneath however, there are no threads on this copper pipe for threading a tube from the top to the copper pipe. The copper pipe is capped.

Look for a 1/4" plug under the valve body. Remove the plug and the sprayer hose connects to the threaded opening. If your faucet has no such opening then the faucet must be replaced. Good luck and thank you for rating my answer. Tom