Sunday, 4 September 2011

Hyperbolic functions - sinh, cosh, tanh, coth, sech, csch

Note: to set hyperbolic function in FX-991ES just select [hyp] and select the function that you need",)

Hyperbolic functions - sinh, cosh, tanh, coth, sech, csch

DEFINITION OF HYPERBOLIC FUNCTIONS

Hyperbolic sine of x = sinh x = (e^x - e^-x)/2
Hyperbolic cosine of x = cosh x = (e^x + e^-x)/2
Hyperbolic tangent of x = tanh x = (e^x - e^-x)/(e^x + e^-x)
Hyperbolic cotangent of x = coth x = (e^x + e^-x)/(e^x - e^-x)
Hyperbolic secant of x = sech x = 2/(e^x + e^-x)
Hyperbolic cosecant of x = csch x = 2/(e^x - e^-x)

RELATIONSHIPS AMONG HYPERBOLIC FUNCTIONS

tanh x = sinh x/cosh x
coth x = 1/tanh x = cosh x/sinh x
sech x = 1/cosh x
csch x = 1/sinh x
cosh²x - sinh²x = 1
sech²x + tanh²x = 1
coth²x - csch²x = 1

What are you doing?

Sunday, 4 September 2011