- } 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...
-
common use:
inverse hyperbolic sine,
inverse hyperbolic cosine,
inverse hyperbolic tangent,
inverse hyperbolic cosecant,
inverse hyperbolic secant, and inverse...
- {\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 ...
-
hyperbolic plane,
analogous to the
planar law of
cosines from
plane trigonometry, or the
spherical law of
cosines in
spherical trigonometry. It can also be related...
- {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)...
- trigonometry, the law of
cosines (also
known as the
cosine formula or
cosine rule)
relates the
lengths of the
sides of a
triangle to the
cosine of one of its angles...
- {\displaystyle i={\sqrt {-1}}} , both sine and
cosine functions can be
expressed in
terms of real sines,
cosines, and
hyperbolic functions as:[citation needed] sin...
- The
following is a list of
integrals (anti-derivative functions) of
hyperbolic functions. For a
complete list of
integral functions, see list of integrals...
-
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 ...
-
indefinite integrals (antiderivatives) of
expressions involving the
inverse hyperbolic functions. For a
complete list of
integral formulas, see
lists of integrals...
