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dancing james-
This fear would be recognised by humans everywhere tackling this problem.
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I don't know if science backs this up but it often seems easier to apply force gently with a big lever than wailing on a small one.
No one can resist thinking it must be held on by some other as yet unknown mechanical force though, it's human nature.
Often once you've given up any possibility of saving the taps you'll be able to get the cap off!
Airhead
Usually just that, it's become very tightly bonded to the extent that what seems like an unreasonable force is all that will unfix it.
Try covering the tap chrome with a thick cover of some material and levering the cap with a crow bar. Might work, might mean new taps!