Talk:Small-angle approximation

Latest comment: 8 days ago by Dicklyon in topic Taylor Series Derivation Example

Merger

edit

i agree that it shold be merged 67.82.226.68 9:55, 13 March 2006

These articles should not be merged. The small angle formula is a special case of the small angle approximation, but the are used in different contexts.Smeapancol 10:00, 1 April 2006 (UTC)Reply

Merging two articles does not mean they describe exactly the same thing, it just means their (possibly different) subjects could be better presented as a single article because they have so much in common. —Keenan Pepper 15:29, 1 April 2006 (UTC)Reply
It is possible to merge if you create a section in "approximation" article called --Application in Astronomy-- and just copy-paste "formula" article there. --Alextalk 02:57, 10 May 2006 (UTC)Reply


Taylor Series Derivation Example

edit

I believe for flow and resolved understanding of the reasoning behind the approximation of a small angle. — Preceding unsigned comment added by Matrixology7 (talkcontribs) 18:20, 10 February 2018 (UTC)Reply

The section Small-angle approximation#Algebraic explains how the approximations come from truncated Taylor series. Deriving the Taylor series is beyond the scope here, but maybe there's a better link that can be added to some place where Taylor series of trig functions are discussed or derived (they follow very simply from the series for the exponential). Dicklyon (talk) 03:06, 18 August 2025 (UTC)Reply

Approximate value and angle

edit

Angle 2001:4456:1C8:1A00:1552:F4D9:882B:EC0F (talk) 06:40, 4 June 2023 (UTC)Reply

Absolutely. Dicklyon (talk) 03:01, 18 August 2025 (UTC)Reply

Title

edit

These are normally referred to in the plural as the small-angle approximations, and the article itself does that. I don't think this is a case where a singular title reflects the WP:COMMONNAME. (It took me several tries to successfully link here because of that.)

The article isn't about what "a small-angle approximation" is; it's about what a specific collection of formulae known as the small-angle approximations are. Musiconeologist (talk) 22:57, 30 March 2024 (UTC)Reply

I respectfully disagree. The article topic of the article makes perfect sense as singular, and the singular is much more common, so we should keep it that way. Dicklyon (talk) 03:00, 18 August 2025 (UTC)Reply