The hyperbolic functions and their important inverses are defined as methods for RealBox objects.

Apart from sinhcosh, which returns an expression sequence of two RealBox objects, each of these computes a RealBox representing the value of the named function on the values in the RealBox input.

Use the 'precision' = n option to control the precision used in these methods. For more details on precision, see BoxPrecision.

$a≔\mathrm{RealBox}\left(0.34\right)$

$a≔⟨\text{RealBox:}0.34\pm \mathrm{2.91038\ⅇ-11}⟩$

$b≔\mathrm{RealBox}\left(2.3\right)$

$b≔⟨\text{RealBox:}2.3\pm \mathrm{2.32831\ⅇ-10}⟩$

$\sinh \left(b\right)$

$⟨\text{RealBox:}4.93696\pm \mathrm{1.66822\ⅇ-09}⟩$

$\cosh \left(b\right)$

$⟨\text{RealBox:}5.03722\pm \mathrm{1.66822\ⅇ-09}⟩$

$\tanh \left(b\right)$

$⟨\text{RealBox:}0.980096\pm \mathrm{6.79399\ⅇ-11}⟩$

$\mathrm{sech}\left(b\right)$

$⟨\text{RealBox:}0.198522\pm \mathrm{6.40579\ⅇ-11}⟩$

$\mathrm{csch}\left(b\right)$

$⟨\text{RealBox:}0.202554\pm \mathrm{6.43682\ⅇ-11}⟩$

$\coth \left(b\right)$

$⟨\text{RealBox:}1.02031\pm \mathrm{1.26273\ⅇ-10}⟩$

$\mathrm{arcsinh}\left(b\right)$

$⟨\text{RealBox:}1.57028\pm \mathrm{2.16758\ⅇ-10}⟩$

$\mathrm{arccosh}\left(b\right)$

$⟨\text{RealBox:}1.47504\pm \mathrm{2.33821\ⅇ-10}⟩$

$\mathrm{arctanh}\left(a\right)$

$⟨\text{RealBox:}0.354093\pm \mathrm{6.73914\ⅇ-11}⟩$

$\mathrm{arcsech}\left(a\right)$

$⟨\text{RealBox:}1.74172\pm \mathrm{3.01167\ⅇ-10}⟩$

$\mathrm{arccsch}\left(a\right)$

$⟨\text{RealBox:}1.79968\pm \mathrm{2.78979\ⅇ-10}⟩$

$\mathrm{arccsch}\left(b\right)$

$⟨\text{RealBox:}0.422133\pm \mathrm{9.88916\ⅇ-11}⟩$

$\mathrm{sinhcosh}\left(b\right)$

$⟨\text{RealBox:}4.93696\pm \mathrm{1.66822\ⅇ-09}⟩,⟨\text{RealBox:}5.03722\pm \mathrm{1.66822\ⅇ-09}⟩$

The RealBox:-sinh, RealBox:-cosh, RealBox:-tanh, RealBox:-sech, RealBox:-csch, RealBox:-coth, RealBox:-arcsinh, RealBox:-arccosh and RealBox:-arctanh commands were introduced in Maple 2022.

For more information on Maple 2022 changes, see Updates in Maple 2022.

The RealBox:-arcsech, RealBox:-arccsch and RealBox:-arccoth commands were introduced in Maple 2023.

For more information on Maple 2023 changes, see Updates in Maple 2023.