DLMF:4.23.E42 (Q1794): Difference between revisions

Revision as of 17:37, 1 January 2020

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Language	Label	Description	Also known as
English	DLMF:4.23.E42	No description defined

{\displaystyle{\displaystyle{\operatorname{gd}^{-1}}\left(x\right)=\ln\tan% \left(\tfrac{1}{2}x+\tfrac{1}{4}\pi\right)=\ln\left(\sec x+\tan x\right)=% \operatorname{arcsinh}\left(\tan x\right)=\operatorname{arccsch}\left(\cot x% \right)=\operatorname{arccosh}\left(\sec x\right)=\operatorname{arcsech}\left(% \cos x\right)=\operatorname{arctanh}\left(\sin x\right)=\operatorname{arccoth}% \left(\csc x\right).}}

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{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2apdec

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@@ Property / Symbols used @@
+the ratio of the circumference of a circle to its diameter
+Normal rank
+test:  ${\displaystyle{\displaystyle\pi}}$ 
\cpi
+xml-id: C3.S12.E1.m2apdec