Difference between revisions of "Sinh"

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[[Difference of cosh and sinh]]<br />
[[Difference of cosh and sinh]]<br />
[[Sinh is odd]]<br />
[[Sinh is odd]]<br />
[[Sinh of a sum]]<br />
[[Cosh of a sum]]<br />
[[Halving identity for sinh]]<br />
[[Halving identity for tangent (2)]]<br />
[[Halving identity for tangent (3)]]<br />
[[Doubling identity for sinh (1)]]<br />
[[Doubling identity for sinh (2)]]<br />
[[Doubling identity for cosh (2)]]<br />
[[Doubling identity for cosh (3)]]<br />
=See Also=
=See Also=

Latest revision as of 23:44, 21 October 2017

The hyperbolic sine function $\mathrm{sinh} \colon \mathbb{C} \rightarrow \mathbb{C}$ is defined by $$\mathrm{sinh}(z)=\dfrac{e^z-e^{-z}}{2}.$$ Since this function is one-to-one, its inverse function the inverse hyperbolic sine function is clear.


Derivative of sinh
Pythagorean identity for sinh and cosh
Relationship between sinh and hypergeometric 0F1
Weierstrass factorization of sinh
Taylor series for sinh
Relationship between Bessel I sub 1/2 and sinh
Relationship between sin and sinh
Relationship between sinh and sin
Relationship between tangent, Gudermannian, and sinh
Relationship between sinh, inverse Gudermannian, and tan
Period of sinh
Sum of cosh and sinh
Difference of cosh and sinh
Sinh is odd
Sinh of a sum
Cosh of a sum
Halving identity for sinh
Halving identity for tangent (2)
Halving identity for tangent (3)
Doubling identity for sinh (1)
Doubling identity for sinh (2)
Doubling identity for cosh (2)
Doubling identity for cosh (3)

See Also



Hyperbolic trigonometric functions