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单词 Versed sine
释义

Versed sine

中文百科

正矢 Versine

（重定向自Versed sine）
角θ的所有三角函数在几何上可以依据以O点为圆心的单位圆来构造。
seno, coseno, y verseno de θ sobre la base de la circunferencia goniométrica.
A unit circle with trigonometric functions.
Comparison of the versine function with three approximations to the versine functions, for angles ranging from 0 to 2π

正矢（英文：Versine、Versed sine），在三角函数之中被定义为\textrm{versin} \theta = 1 - \cos \theta \,，值域在0～2之间。

  • 余矢（英文：coversed sine、coversine），写为\operatorname{coversin}(\theta)，有时亦缩写为\operatorname{cvs}(\theta)。
  • 半正矢（英文：haversed sine、haversine），写为\operatorname{haversin}(\theta)，因半正矢公式出名，且曾用于导航术。
  • 半余矢（英文：hacoversed sine、hacoversine、cohaversine），写为\operatorname{hacoversin}(\theta)。
英语百科

Versine 正矢

（重定向自Versed sine）
A unit circle with trigonometric functions.
Sine, cosine, and versine of angle θ in terms of a unit circle with radius 1, centered at O. This figure also illustrates the reason why the versine was sometimes called the sagitta, Latin for arrow.[32] If the arc ADB of the double-angle Δ = 2θ is viewed as a
The trigonometric functions can be constructed geometrically in terms of a unit circle centered at O.
Comparison of the versine function with three approximations to the versine functions, for angles ranging from 0 to 2π

The versine or versed sine is a trigonometric function already appearing in some of the earliest trigonometric tables. The versine of an angle equals 1 minus its cosine.

There are several related functions, most notably the coversine and haversine. The latter, half a versine, is of particular importance in the haversine formula of navigation.
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更新时间：2025/6/18 8:36:05