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Cos






Mathematica Notation

Traditional Notation









Elementary Functions > Cos[z] > Transformations > Some functions of arguments





http://functions.wolfram.com/01.07.16.0162.01









  


  










Input Form





Cos[a (b z^3)^(1/3)] == (1/(6 b^(2/3) z^2)) (((1 + E^(2 I a b^(1/3) z)) (b^(2/3) z^2 + b^(1/3) z (b z^3)^(1/3) + (b z^3)^(2/3)) - E^((1/2) I a b^(1/3) z) ((-b^(1/3)) z + (b z^3)^(1/3)) ((1 + E^(I a b^(1/3) z)) (2 b^(1/3) z + (b z^3)^(1/3)) Cosh[(1/2) Sqrt[3] a b^(1/3) z] - I Sqrt[3] (-1 + E^(I a b^(1/3) z)) (b z^3)^(1/3) Sinh[(1/2) Sqrt[3] a b^(1/3) z]))/E^(I a b^(1/3) z))










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