In this talk we discuss how the cold Fermi gases may be a laboratory for learning about high Tc superconductors and conversely. We make the case that, because of their anomalously short coherence length and the presence of a prominent pseudogap, the cuprates appear to be mid-way between BCS and BEC. From this perspective we demonstrate that there is a strong overlap between two common spectroscopic probes: radio frequency (RF) spectroscopy in the cold gases and photoemission spectroscopy in the cuprates. Within the BCS-BEC framework we summarize the experimental situation in both systems which regard to these related spectroscopies, review briefly some of the competing theoretical scenarios in both systems and in the end address a seemingly paradoxical aspect of the cuprates. This relates to the so-called ``two gap" behavior which was first clearly seen in angle resolved photoemission experiments. We show how this two gap physics is necessarily present in the BCS-BEC crossover scenario. One can, thereby, readily understand a large number of unusual findings in the cuprates within the same framework as is being applied to RF spectroscopy in the cold Fermi gases.