- φ{\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)=∫0xsinh(t)tdt.{\displaystyle \operatorname...
-
common use:
inverse hyperbolic sine,
inverse hyperbolic cosine,
inverse hyperbolic tangent,
inverse hyperbolic cosecant,
inverse hyperbolic secant, and inverse...
- x{\displaystyle x} and y{\displaystyle y},
sine and
cosine can be
expressed in
terms of real
sines, cosines, and
hyperbolic functions as sinz=sinxcoshy+ico...
- 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...
- 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...
-
hyperbola (/haɪˈpɜːrbələ/ ; pl.
hyperbolas or
hyperbolae /-liː/ ; adj.
hyperbolic /ˌhaɪpərˈbɒlɪk/ ) is a type of
smooth curve lying in a plane, defined...
- the
second word of دالة زائدية "
hyperbolic function") is
added to the end of
trigonometric functions to
express hyperbolic functions. This is
similar to...
- 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...