Versine
From Wikipedia, the free encyclopedia
The
versine
or
versed sine
, versin(
θ
), is a trigonometric function equal to 1
−
cos(
θ
) and 2sin
2
(½
θ
). It
appeared in some of the earliest trigonometric tables and was once widespread, but it is now little-used.
There are several related functions, most notably the
haversine
, half the versine, known in the haversine
formula of navigation.
It is also written as vers(
θ
) or ver(
θ
). In Latin, it is known as the
sinus versus
(flipped sine) or the
sagitta
(arrow).
Related functions
There are several other related functions:
The
versed cosine
, or
vercosine
, written
The
coversed sine
, or
coversine
, written
and sometimes abbreviated to
The
coversed cosine
, or
covercosine
, written
The
haversed sine
, or
haversine
, written
, most famous from the haversine formula
used historically in navigation
The
haversed cosine
, or
havercosine
, written
The
hacoversed sine
, also called
hacoversine
or
cohaversine
and written
The
hacoversed cosine
, also called
hacovercosine
or
cohavercosine
and written
The
exsecant
, written
The
excosecant
, written
Construction of versine and
related functions
For a trigonometric function
fun
, the above definitions correspond to the relations:
Contents
1 Related functions
2 Construction of versine and related functions
3 Definitions
4 Derivatives and Integrals
5 History and applications
6 "Versines" of arbitrary curves and chords
7 See also
8 References
9 External links
Page 1 of 5
Versine - Wikipedia, the free encyclopedia
10/4/2011
http://en.wikipedia.org/wiki/Versine