John D. Cook4/14/2023

A new trig identity

John
This evening I ran across a trig identity I hadn’t seen before. I doubt it’s new to the world, but it’s new to me. Let A, B, and C be the angles of an arbitrary triangle. Then sin² A + sin² B + sin² C = 2 + 2 cos A cos B cos C. […] The post A new trig identity first appeared on John D. Cook .