IR Spectroscopy
The most prominent band in IRs of phenols is the OH stretch.
Since phenols are aromatics, also look for aromatic IR bands.
NMR Spectroscopy
The hydroxylic proton can show up anywhere from 412 ppm. It appears as a sharp singlet. It is usually from 47.5 ppm but can be found from 1012 ppm if it is on a ring with a carbonyl substituent. Enols show up from 15-17 ppm.
Example