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ArcSin




Mathematica Notation

Traditional Notation









Elementary Functions > ArcSin[z] > Transformations > Related transformations > Sums involving the direct function > Involving coth-1(z)





http://functions.wolfram.com/01.12.16.0144.01









  


  








Input Form





ArcSin[x] + ArcCoth[y] == -2 I Pi (Floor[(-Arg[1/((I x + Sqrt[1 - x^2])^I Sqrt[1 - 1/y])] - (1/2) Arg[1 + 1/y] + Pi)/(2 Pi)] + Floor[(Pi - Im[Log[1/((I x + Sqrt[1 - x^2])^I Sqrt[1 - 1/y])]])/(2 Pi)] + Floor[(Pi - (1/2) Im[Log[1 + 1/y]])/(2 Pi)]) - 2 I Pi (Floor[(-Arg[(I x + Sqrt[1 - x^2])^(-I)] + (1/2) Arg[1 - 1/y] + Pi)/ (2 Pi)] + Floor[((1/2) Im[Log[1 - 1/y]] + Pi)/(2 Pi)] + Floor[(Re[Log[I x + Sqrt[1 - x^2]]] + Pi)/(2 Pi)]) + Log[Sqrt[1 + 1/y]/((I x + Sqrt[1 - x^2])^I Sqrt[1 - 1/y])]








Standard Form





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MathML Form







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type='rational'> 1 <sep /> 2 </cn> </apply> <apply> <power /> <apply> <power /> <apply> <plus /> <cn type='integer'> 1 </cn> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 1 </cn> <apply> <power /> <ci> y </ci> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </apply> <cn type='rational'> 1 <sep /> 2 </cn> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02