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Gravitational waves from a binary with a single dynamically significant spin,notably including precessing black hole-neutron star (BH-NS) binaries, let usconstrain that binary's properties: the two masses and the dominant black holespin. Based on a straightforward fourier transform of $h(t)$ enabled by thecorotating frame, we show the Fisher matrix for precessing binaries can bewell-approximated by an extremely simple semianalytic approximation. Thisapproximation can be easily understood as a weighted average of independentinformation channels, each associated with one gravitational wave harmonic.Generalizing previous studies of nonprecessing binaries to include criticalsymmetry-breaking precession effects required to understand plausibleastrophysical sources, our ansatz can be applied to address how wellgravitational wave measurements can address a wide range of astrophysical andfundamental questions. Our approach provides a simple method to assess whatparameters gravitational wave detectors can measure, how well, and why.

A semianalytic Fisher matrix for precessing binaries with a single significant spin