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variants of this functions
ArcTan






Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/01.14.16.0264.01









  


  










Input Form





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