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:<math> r=\int_0^s\frac{dt}{\sqrt{1-t^4}}.</math>
In other words, the sine lemniscatic function gives the distance from the origin as a function of the arc length from the origin. Similarly the cosine lemniscate function gives the distance from the origin as a function of the arc length from (1, 0).
=={{anchor|arcsl|arccl}}Inverse functions==
{{Empty section|date=August 2017|reason=Inverse functions are named arcsl and arccl and should be discussed here.}}
==See also==
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