Cosines Unlocked: Generalizing Pythagoras and Solving Any Triangle

A Deep Dive into the law of cosines: how it generalizes Pythagoras, how to use it to find sides or angles in any triangle, and the tricky ambiguous case. We’ll cover practical computation notes like round-off error, and uncover the long history—from Euclid’s Elements to medieval mathematicians and modern proofs—showing how this single formula connects geometry, algebra, and trigonometry.

Note: This podcast was AI-generated, and sometimes AI can make mistakes. Please double-check any critical information.

Sponsored by Embersilk LLC