# Definition of hyperbolic cosines. Meaning of hyperbolic cosines. Synonyms of hyperbolic cosines

Here you will find one or more explanations in English for the word hyperbolic cosines. Also in the bottom left of the page several parts of wikipedia pages related to the word hyperbolic cosines and, of course, hyperbolic cosines synonyms and on the right images related to the word hyperbolic cosines.

## Definition of hyperbolic cosines

hyperbolic cosines
Hyperbolic Hyper*bol"ic, Hyperbolical Hyper*bol"ic*al, a. [L. hyperbolicus, Gr. ?: cf. F. hyperbolique.] 1. (Math.) Belonging to the hyperbola; having the nature of the hyperbola. 2. (Rhet.) Relating to, containing, or of the nature of, hyperbole; exaggerating or diminishing beyond the fact; exceeding the truth; as, an hyperbolical expression. This hyperbolical epitaph.' --Fuller. Hyperbolic functions (Math.), certain functions which have relations to the hyperbola corresponding to those which sines, cosines, tangents, etc., have to the circle; and hence, called hyperbolic sines, hyperbolic cosines, etc. Hyperbolic logarithm. See Logarithm. Hyperbolic spiral (Math.), a spiral curve, the law of which is, that the distance from the pole to the generating point varies inversely as the angle swept over by the radius vector.

## Meaning of hyperbolic cosines from wikipedia

- } into a hyperbolic identity, by expanding it completely in terms of integral powers of sines and cosines, changing sine to sinh and cosine to cosh, and...
- mathematics, the inverse hyperbolic functions are the inverse functions of the hyperbolic functions. For a given value of a hyperbolic function, the corresponding...
- In hyperbolic geometry, the "law of cosines" is a pair of theorems relating the sides and angles of triangles on a hyperbolic plane, analogous to the planar...
- {cosh(adjacent)}}={\frac {\cos B}{\sin A}}} . The hyperbolic cosine of the hypotenuse is the product of the hyperbolic cosines of the legs. cosh(hypotenuse) = cosh(adjacent)...
- {\displaystyle \operatorname {Si} (ix)=i\operatorname {Shi} (x).} The hyperbolic cosine integral is Chi ⁡ ( x ) = γ + ln ⁡ x + ∫ 0 x cosh ⁡ t − 1 t d t  ...
- law of cosines (also known as the cosine formula, cosine rule, or al-Kashi's theorem) relates the lengths of the sides of a triangle to the cosine of one...
- where cosh is the hyperbolic cosine. This formula is a special form of the hyperbolic law of cosines that applies to all hyperbolic triangles: cosh ⁡...
- The following is a list of integrals (anti-derivative functions) of hyperbolic functions. For a complete list of integral functions, see list of integrals...
- x} and y {\displaystyle y} , sine and cosine can be expressed in terms of real sines, cosines, and hyperbolic functions as sin ⁡ z = sin ⁡ x cosh ⁡ y...
- indefinite integrals (antiderivatives) of expressions involving the inverse hyperbolic functions. For a complete list of integral formulas, see lists of integrals...