A Community Devoted to the Preservation and Practice of Celestial Navigation and Other Methods of Traditional Wayfinding
From: Matus Tejiscak
Date: 2021 Jul 22, 02:31 -0700
The short answer is that the function you defined is not continuous, and thus, unlike other navigational formulas, you cannot express it using only continuous functions like sines, cosines, and basic arithmetic.
The long answer is a bit more nuanced but the gist is the same.