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ArcCos




Mathematica Notation

Traditional Notation









Elementary Functions > ArcCos[z] > Representations through equivalent functions > With related functions > Involving tanh-1 > Involving cos-1(z/z-a1/2) > Involving cos-1(z/z-a1/2) and tanh-1(1/z1/2)





http://functions.wolfram.com/01.13.27.0058.01









  


  








Input Form





ArcCos[Sqrt[z]/Sqrt[z - a]] == Pi/2 - (Sqrt[z - a]/(2 Sqrt[z])) Sqrt[z/(z - a)] ((1/z) Sqrt[1 - z/a] Sqrt[a/(a - z)] (2 a Sqrt[-(z^2/a^2)] ArcTanh[Sqrt[z/a]] - Pi z) + Pi) /; a > 0








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)





2001-10-29