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rbmix.com |
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Hyperbolic functions
cosh(x)
=
sinh(x)
=
tanh(x)
=
=
sech(x)
=
=
cosech(x)
=
=
coth(x)=
=
sinh
-1 (x) =
cosh
-1 (x) =
tanh
-1 (x) =
note: ' ln ' refers to natural logarithm (base e)
identities
cosh 2(x) - sinh 2 (x) = 1
1 + cosech 2(x) = coth 2(x)
1 - sech 2(x) = tanh 2(x)
sinh (2x) = 2 sinh(x) cosh(x)
cosh(2x) = cosh 2(x) + sinh 2 (x) = 1+ 2 sinh 2 (x) = 2 cosh 2(x) - 1
sin(ix) = i sinh(x)
cos(ix) = cosh(x)
tan(ix) = i tanh(x)
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11/7/2006
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