Sinus totus

In trigonometry, the sinus totus (Latin for "total sine") was historically the radius of the base circle used to construct a sine table; that is, the maximum possible value of the sine.

Letting the notation $\mathrm{Sin}\theta$ stand for the historical sine, and $\sin \theta$ stand for the modern sine function,

$\mathrm{Sin}\theta =R\sin \theta ,$

where $R$ is the sinus totus, $R=\mathrm{Sin}90^{\circ }.$

References

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