These are the standard circular (i.e., trigonometric) functions defined for RealBox objects.

They override the standard Maple procedures for RealBox objects.

Additionally, via "arblib", there are a number of variations that are not defined for standard numerics in Maple.

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

$\sin \left(\mathrm{RealBox}\left(2.3\right)\right)$

$⟨\text{RealBox:}0.745705\pm \mathrm{2.16318\ⅇ-10}⟩$

$\cos \left(\mathrm{RealBox}\left(2.3\right)\right)$

$⟨\text{RealBox:}-0.666276\pm \mathrm{2.35566\ⅇ-10}⟩$

$\tan \left(\mathrm{RealBox}\left(2.3\right)\right)$

$⟨\text{RealBox:}-1.11921\pm \mathrm{6.61871\ⅇ-10}⟩$

$\arcsin \left(\mathrm{RealBox}\left(0.23\right)\right)$

$⟨\text{RealBox:}0.232078\pm \mathrm{7.55526\ⅇ-11}⟩$

$\arccos \left(\mathrm{RealBox}\left(0.23\right)\right)$

$⟨\text{RealBox:}1.33872\pm \mathrm{2.50176\ⅇ-10}⟩$

$\arctan \left(\mathrm{RealBox}\left(0.23\right)\right)$

$⟨\text{RealBox:}0.226068\pm \mathrm{2.92822\ⅇ-11}⟩$

$\mathrm{arcsec}\left(\mathrm{RealBox}\left(1.23\right)\right)$

$⟨\text{RealBox:}0.621496\pm \mathrm{4.40417\ⅇ-10}⟩$

$\mathrm{arccsc}\left(\mathrm{RealBox}\left(1.23\right)\right)$

$⟨\text{RealBox:}0.9493\pm \mathrm{3.8221\ⅇ-10}⟩$

$\mathrm{arccot}\left(\mathrm{RealBox}\left(1.23\right)\right)$

$⟨\text{RealBox:}0.682623\pm \mathrm{1.62742\ⅇ-10}⟩$

$\mathrm{sinc}\left(\mathrm{RealBox}\left(2.3\right)\right)$

$⟨\text{RealBox:}0.32422\pm \mathrm{1.51896\ⅇ-10}⟩$

$\mathrm{sinpi}\left(\mathrm{RealBox}\left(2.3\right)\right)$

$⟨\text{RealBox:}0.809017\pm \mathrm{5.3933\ⅇ-10}⟩$

$\mathrm{cospi}\left(\mathrm{RealBox}\left(2.3\right)\right)$

$⟨\text{RealBox:}0.587785\pm \mathrm{7.23958\ⅇ-10}⟩$

$\mathrm{tanpi}\left(\mathrm{RealBox}\left(2.3\right)\right)$

$⟨\text{RealBox:}1.37638\pm \mathrm{2.2842\ⅇ-09}⟩$

$\mathrm{cotpi}\left(\mathrm{RealBox}\left(2.3\right)\right)$

$⟨\text{RealBox:}0.726543\pm \mathrm{1.2025\ⅇ-09}⟩$

$\mathrm{sincpi}\left(\mathrm{RealBox}\left(2.3\right)\right)$

$⟨\text{RealBox:}0.111964\pm \mathrm{8.01149\ⅇ-11}⟩$

The RealBox:-sin, RealBox:-cos, RealBox:-tan, RealBox:-sec, RealBox:-csc, RealBox:-cot, RealBox:-sinc, RealBox:-sinpi, RealBox:-cospi, RealBox:-tanpi, RealBox:-cotpi, RealBox:-sincpi, RealBox:-arcsin, RealBox:-arccos and RealBox:-arctan commands were introduced in Maple 2022.

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

The RealBox:-arcsec, RealBox:-arccsc and RealBox:-arccot commands were introduced in Maple 2023.

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