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1. wizzwizz4 (wizzwizz4@fosstodon.org)'s status on Monday, 23-Jan-2023 11:49:29 JST wizzwizz4

   in reply to

   @alcinnz Okay, looking at it more closely? That's definitely Horner's evaluation method, implementing a Taylor series expansion: https://en.wikipedia.org/wiki/Taylor_series

   I recommend trying to solve this problem yourself, though, rather than looking at Wikipedia. It's a simple, fun piece of mathematics – and as with all mathematics, you can only discover it once:

   Using algebra, find the polynomials f(x) where f(0)=sin(0). Then, add the condition f'(0)=sin'(0), and f''(0)=sin''(0), and the third derivative….