  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.
