- {\displaystyle \varphi } into a
hyperbolic identity, by
expanding it
completely in
terms of
integral powers of
sines and cosines,
changing sine to sinh and cosine...
-
treat Cin as the
primary function, and
derive Ci in
terms of Cin. The
hyperbolic sine integral is
defined as Shi ( x ) = ∫ 0 x sinh ( t ) t d t . {\displaystyle...
-
common use:
inverse hyperbolic sine,
inverse hyperbolic cosine,
inverse hyperbolic tangent,
inverse hyperbolic cosecant,
inverse hyperbolic secant, and inverse...
- In
hyperbolic geometry, a
hyperbolic triangle is a
triangle in the
hyperbolic plane. It
consists of
three line
segments called sides or
edges and three...
- {\displaystyle i={\sqrt {-1}}} , both
sine and
cosine functions can be
expressed in
terms of real
sines, cosines, and
hyperbolic functions as:[citation needed]...
- Law of
Sines In trigonometry, the law of
sines,
sine law,
sine formula, or
sine rule is an
equation relating the
lengths of the
sides of any
triangle to...
- \left(y+{\sqrt {y^{2}+1}}\right).}
Other hyperbolic functions are
defined according to the
hyperbolic cosine and
hyperbolic sine, so for
example tanh a = sinh...
- The
following is a list of
integrals (anti-derivative functions) of
hyperbolic functions. For a
complete list of
integral functions, see list of integrals...
-
indefinite integrals (antiderivatives) of
expressions involving the
inverse hyperbolic functions. For a
complete list of
integral formulas, see
lists of integrals...
-
trigonometric identity into a
hyperbolic identity by
expanding it
completely in
terms of
integer powers of
sines and cosines,
changing sine to sinh and
cosine to...
