versine
Sign in to saveThe versine or versed sine is a trigonometric function found in some of the earliest (Sanskrit Aryabhatiya, Section I) trigonometric tables. The versine of an angle is 1 minus its cosine.
Article
18 sectionsContents
- {{anchor|ver|vcs|cvs|cvc|hav|hvc|hcv|hcc|lhav}}Overview
- History and applications
- Versine and coversine
- Haversine
- Modern uses
- Mathematical identities
- Definitions
- Circular rotations
- Derivatives and integrals
- {{anchor|aver|avcs|acvs|acvc|ahav|ahvc|ahcv|ahcc}}Inverse functions
- Other properties
- Approximations
- Arbitrary curves and chords
- See also
- Notes
- References
- Further reading
- External links
The versine or versed sine is a trigonometric function found in some of the earliest (Sanskrit Aryabhatiya, Section I) trigonometric tables. The versine of an angle is 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.