Isotropic binary inclination distribution (source code)

= Isotropic binary inclination distribution
{title2=$p(i)=\sin i$}

Randomly oriented binary angular-momentum vectors are uniform in $\cos i$. After identifying $i$ with $\pi-i$, their normalized inclination density on $0\leq i\leq\pi/2$ is $p(i)=\sin i$.