coshine

English

Etymology

Blend of translingual cosh +‎ cosine.

Noun

coshine (plural coshines)

1. (mathematics, uncommon) Synonym of hyperbolic cosine.
   • 1931, Charles George Watson, Sags and Tensions in Overhead Lines, London: Isaac Pitman & Sons, →OCLC, page 135:

     Should a shine or coshine be wanted which is not in the table, advantage may be taken of the differential of cosh x being sinh x, and vice versa. Thus, sinh x and cosh x being known, the shine or coshine of x + y, y being small compared to x, may be calculated from these relationships— […]

   • 1984, D. E. Hodgkinson, “Empty space-times of embedding class two”, in General Relativity and Gravitation‎^[1], volume 16, number 6, Springer, →ISSN, page 574:

     Considering equation (8) in which ϵ = −1 we have a similar situation to our previous analysis in which the hyperbolic functions replace the trigonometric ones. However, this leads to significant changes in the results, e.g., if in equation (18) the cosines are replaced by coshines the equation has no solutions since coshines are always greater than or equal to one.

   • 1996, L. N. McCartney, “Stress transfer mechanics for angle-ply laminates”, in ECCM-7: Seventh European Conference on Composite Materials, volume 2, pages 236–237:

     In (4) the function cos{h} denotes that either cosine or coshine functions are used depending upon whether the third charateristic^[sic] root is real or imaginary.