flâneur — a map of the web's best reading

Hyperbolic functions

en.wikipedia.org · 6,195 words · saved by 1 readers

In mathematics, hyperbolic functions are analogues of the ordinary trigonometric functions, but defined using the hyperbola rather than the circle. Just as the points (cos t, sin t) form a circle with a unit radius, the points (cosh t, sinh t) form the right half of the unit hyperbola. Also, similarly to how the derivatives of sin(t) and cos(t) are cos(t) and –sin(t) respectively, the derivatives of sinh(t) and cosh(t) are cosh(t) and +sinh(t) respectively.

Hyperbolic functions - Wikipedia Jump to content From Wikipedia, the free encyclopedia Hyperbolic analogues of trigonometric functions "Hyperbolic curve" redirects here. For the geometric curve, see Hyperbola . In mathematics , hyperbolic functions are analogues of the ordinary trigonometric functions , but defined using the hyperbola rather than the circle . Just as the points (cos t , sin t ) form a circle with a unit radius , the points (cosh t , sinh t ) form the right half of the unit hyperbola . Also, similarly to how the derivatives of sin( t ) and cos( t ) are cos( t ) and –sin( t ) ,

Explore this link on the map →

related reading