The neutrino band above 10 PeV remains one of the last multi-messenger windows to be opened, a challenge that several groups tackle. One of the proposed instruments is Trinity, a system of air-shower imaging telescopes to detect Earth-skimming neutrinos with energies from 10^6 GeV to 10^10 GeV. We present updated sensitivity calculations demonstrating Trinity's capability of not only detecting the IceCube measured diffuse astrophysical neutrino flux but doing so in an energy band that overlaps with IceCube's. Trinity will distinguish between different cutoff scenarios of the astrophysical neutrino flux, which will help identify their sources. We also discuss Trinity's sensitivity to transient sources on timescales from hours to years.