recover from

Hello,

I would like to know the differences in meaning between these two sentences - if both of them are idiomatic.

Are you already recovered from your cold?

Have you already recovered from your cold?

Thank you very much.

Both are fine, though the first sounds slightly dated to me. Both are fairly formal; we'd be more likely to hear: Have you got over your cold (already)?

Have you recovered from your cold?
Have you got over your cold?

Both phrases can be used with 'yet'.

Theycan indeed, though with a different shade of meaning.

'Already' suggests that the person enquiring may be a little surprised at the apparent speed of recovery. 'Yet' carries no such suggestion.