Why does hot water work fine but cold water is a trickle?

Answer 1

If you have galvanized pipe in your house, you probably have debris in; your water line, your angle stop (AKA cut off),your supply line to the hot side of the fixture. If I could see it, I could tell you how to fix it. I would suggest calling a plumber. We aren't all a bunch of crooks.

Answer 2

You have a leak in your pipes. I know you're probably thinking, how is my hot water getting water then?

I went thru this myself last Thanksgiving. What happens is your water comes in the house and usually splits one pipe to the hot water then the other goes to feed the other cold water pipes. Its somewhere after this split you have a leak, and probably a good sized one. I had to have my kitchen floor ripped up to discover this. it was where two pipes were joined together improperly, eventually the pressure lead to it blowing and boom..no cold water.

Or if galvanized piping it could be full of debris right at the angle/straight stop or the galvanized pipe it self, in rare cases sometimes the faucet supply or faucet it self could be plugged on the cold water side