Talk:Versine

message: I think that https://de.wikipedia.org/wiki/Sinus_versus_und_Kosinus_versus should be marked as the German version of this article, but I have no idea how to do that myself. Maybe someone more experienced than me could do that. Kriegaex (talk) 08:18, 31 October 2021 (UTC)
thread_title: Other languages

message: It is really always non-negative, as stated in the "History and applications" section, if it is defined as 2sin²(θ/2), but not, if it is defined as 1-cosθ. Are the definitions missing a pair of || somewhere? --Pt 23:33, 6 Oct 2004 (UTC)
replies: text: Sorry, my fault. --Pt 15:39, 7 Oct 2004 (UTC)
thread_title: Non-negative

message: Math notation, of course, is naturally ambiguous, like all natural languages. This case of ambiguity has to do with the use of exponents in math. 
Consider this from the article:
:\textrm{versin} (\theta) = 1 - \cos (\theta) = 2 \sin^2\left(\frac{\theta} {2}\right) \,
\sin is a function, and some mathematicians write, f^2\left(x\right) when they mean
to say f\left(f\left(x\right)\right). Therefore, it is not immediately apparent that the author of this
article really meant to say \sin\left(\frac{\theta} {2}\right)^2 when s/he wrote 
\sin^2\left(\frac{\theta} {2}\right). It was necessary for me to verify the identity with a
calculator before I could be sure. A more complex equation can be rendered totally unreadable by the proliferation of such ambiguity.
98.31.14.215 (talk) 13:29, 30 July 2008 (UTC)
replies: text: This mathematical notation for powers of sin and cos functions is totally standard and widespread. I'm sorry you're not familiar with it, but it's used all over mathematics/science/engineering and all over Wikipedia and this is not the place to fight against it.  Go to Talk:Trigonometric functions and Wikipedia talk:WikiProject Mathematics if you want to try to convince editors to avoid this notation on Wikipedia, but it seems fruitless to me.  —Steven G. Johnson (talk) 17:04, 30 July 2008 (UTC)

text: The alternative you propose is, if anything, worse than the notation you criticize. \sin\left(\frac{\theta} {2}\right)^2 can be misinterpreted as \sin\left(\left(\frac{\theta} {2}\right)^2\right), rather than the intended \left(\sin\left(\frac{\theta} {2}\right)\right)^2.--Srleffler (talk) 05:12, 28 September 2008 (UTC)

text: I agree that there is an annoying ambiguity arising from the use of exponents on trig functions, but it is standardized, and your alternative is even worse, as Srleffler explains. If we were to write it out in the full, unambiguous manner, we would have an annoying proliferation of parentheses. I prefer the ambiguity, personally. —Celtic Minstrel (talk • contribs) 03:32, 29 October 2009 (UTC)
thread_title:  Ambiguous math notation 

message: This article should have a diagram showing the versine function plotted vs. angle.--Srleffler (talk) 05:15, 28 September 2008 (UTC)
replies: text: Done. Lytir (talk) 05:26, 28 October 2009 (UTC)
thread_title:  Diagram needed 

message: Refering to wikipedia's diagram http://en.wikipedia.org/wiki/File:Circle-trig6.svg which is used on the Trigonometric functions page, the Versed Sine and Coversed Sine are both shown, however the corresponding COsine functions (versed cosine and coversed cosine) are not. Since the diagram is (there) claimed to show "all of the trigonometric functions" that this is an omission.
I was trying to clarify in my mind the distinction between coversed cosine and versed sine (and failed!), but as a "visual learner" inclusion of a completed diagram would be rather helpful!
188.221.150.127 (talk) 18:51, 24 April 2010 (UTC)
replies: text: Done (back in 2015 already). --Matthiaspaul (talk) 16:56, 31 July 2017 (UTC)
thread_title:  Graphical clarification needed 

message: Article says:
:In fact, the earliest surviving trigonometric table, from the fourth–fifth century Siddhantas from India, was a table of values for the sine and versed sine only (in 3.75° increments from 0 to 90°).
Checking Indian astronomy, it appears that this is indeed fourth–fifth century A.D.. In which case, Ptolemy's table of chords is a trig table, found in the Almagest, still extant, and at least 150 years older. (The oldest known trig table is by Hipparchus, 3 centuries older still, but no known copies survive.) -- 203.20.101.203 (talk) 08:30, 19 July 2011 (UTC)
replies: text: You are right.  According to Boyer (A History of Mathematics), the Siddhantas is the earliest surviving table of the modern sine function (half chords), whereas Ptolemy's table is the earliest surviving table of chords.  — Steven G. Johnson (talk) 16:42, 19 July 2011 (UTC)
thread_title:  Ptolemy's is older 

message: I've noticed that the overview has a ridiculous amount of citations. Some have up to 10 citations, just to show that something is a synonym! This seems a little unnecessary.Eridian314 (talk) 18:01, 3 February 2021 (UTC)
thread_title:  Is the overview over-cited? 

message: You can see how to convert a function  f(x)  into  verf(x)  up there but what about  arcverf(x) ? I think it should be included along with how to convert a function  f(x)  into  verf(x) .  — Preceding unsigned comment added by 50.39.195.196 (talk) 17:04, 15 March 2021 (UTC)
thread_title: Inverse