Authors: Timothy Jones
We give a way to memorize all 27 standard trigonometric identities, including the product to sum (P2S) and sum to product (S2P) trigonometric identities. These are generally not memorized, but puzzled out using the sum of two angles for the P2S and then P2S for S2P. We show here a faster way to recall these using what might be called heuristic generalizations. All 27 of the standard identities are reviewed in light of this type of trick. Links to a TI-84 program and a youtube video are given.
Comments: 7 Pages. Received some suggestions that are reflected here.
Download: PDF
[v1] 2025-01-31 12:57:38
[v2] 2025-02-10 11:05:56
[v3] 2025-04-08 11:54:02
Unique-IP document downloads: 627 times
Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.
Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.