Arcsin in Valentin Albillo's HP-12C Tried & Tricky Trigonometrics
11-25-2019, 04:32 PM
Post: #3
 Albert Chan Senior Member Posts: 2,705 Joined: Jul 2018
RE: Arcsin in Valentin Albillo's HP-12C Tried & Tricky Trigonometrics
(11-25-2019 06:56 AM)jklsadf Wrote:  The taylor series used is apparently that for arctan(x) = x - x^3/3 + x^5/5 - x^7/7 + ... which alternates signs for each term in the series, but I guess convergence is fine after the scaling. There must have been a change of variable to allow using the series for arctan, but I'm not sure how.

θ = asin(x)

After applying half-angle formula 3 times: θ/8 = asin(x') = atan(x' / √(1-x'²))
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 Messages In This Thread Arcsin in Valentin Albillo's HP-12C Tried & Tricky Trigonometrics - jklsadf - 11-25-2019, 06:40 AM RE: Arcsin in Valentin Albillo's HP-12C Tried & Tricky Trigonometrics - jklsadf - 11-25-2019, 06:56 AM RE: Arcsin in Valentin Albillo's HP-12C Tried & Tricky Trigonometrics - Albert Chan - 11-25-2019 04:32 PM RE: Arcsin in Valentin Albillo's HP-12C Tried & Tricky Trigonometrics - Albert Chan - 11-27-2019, 06:31 PM RE: Arcsin in Valentin Albillo's HP-12C Tried & Tricky Trigonometrics - jklsadf - 11-26-2019, 01:02 AM RE: Arcsin in Valentin Albillo's HP-12C Tried & Tricky Trigonometrics - Don Shepherd - 11-26-2019, 03:33 AM

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