Solving triangles algebraically

The Taurus Report by Joe Bakhos

Episode notes
Solving a triangle using quatern measure demonstrates that the analogue trig functions for quaterns are algebraic. This means that vectors, rotations, solving triangles, cross and dot products, etc can all be done without transcendental functions. With quaterns they are all exact and algebraic.
Keywords
trianglerotationtrigonometrysinecosineinversearcsinearccosinetranscendental