Hyperbolic Functions

In this post we define Hyperbolic Functions and also discuss their domains and ranges. The hyperbolic Functions have same properties that resembles to those of trigonometric functions.

Functions	Formulas
y = Sinh x	$\frac{e^x-e^{-x}}{2}, Domain=Range=R$
y = Cosh x	$\frac{e^x+e^{-x}}{2}, Domain=R$ , Range=[1,+ $\infty$ )
y = Tanh x	$\frac{e^x-e^{-x}}{e^x+e^{-x}}$

y = Coseh x	$\frac{2}{e^x+e^{-x}}$
y = Sech x	$\frac{2}{e^x-e^{-x}}$
y = Coth x	$\frac{e^x+e^{-x}}{e^x-e^{-x}}$

PAKMATH Knowledge Learning Point

Hyperbolic Functions

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