Versine - Versine - Wikipedia, the free encyclopedia Page 1...

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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 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
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Definitions The trigonometric functions can be constructed geometrically in terms of a unit circle centered at O . Page 2 of 5 Versine - Wikipedia, the free encyclopedia 10/4/2011 http://en.wikipedia.org/wiki/Versine
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Derivatives and Integrals History and applications Historically, the versed sine was considered one of the most important trigonometric functions, [1][2][3] but it has fallen from popularity in modern times due to the availability of computers and scientific
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Versine - Versine - Wikipedia, the free encyclopedia Page 1...

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