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ArcSec






Mathematica Notation

Traditional Notation









Elementary Functions > ArcSec[z] > Transformations > Related transformations > Linear combinations involving the direct function > Involving csc-1(z)





http://functions.wolfram.com/01.18.16.0198.01









  


  










Input Form





a ArcSec[x] + b ArcCsc[y] == (Pi a)/2 - 2 I Pi (Floor[(-Arg[(Sqrt[1 - 1/x^2] + I/x)^(I a)] - Arg[(Sqrt[1 - 1/y^2] + I/y)^((-I) b)] + Pi)/(2 Pi)] + Floor[(Pi - Re[a Log[Sqrt[1 - 1/x^2] + I/x]])/(2 Pi)] + Floor[(Re[b Log[Sqrt[1 - 1/y^2] + I/y]] + Pi)/(2 Pi)]) + Log[(Sqrt[1 - 1/x^2] + I/x)^(I a)/(Sqrt[1 - 1/y^2] + I/y)^(I b)]










Standard Form





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MathML Form







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Rule Form





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





2007-05-02





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