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kglr
kglr
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I give Mathematica these commands: enter code here$Assumptions = Element[x, Reals] && Element[y, Reals] enter code here[Theta] = ArcTan[x, y] enter code herez = Exp[I [Theta]] enter code hereConjugate[z] I

$Assumptions = Element[x, Reals] && Element[y, Reals]
\[Theta] = ArcTan[x, y]
z = Exp[I \[Theta]]
Conjugate[z]

I get enter code hereE^(-I Conjugate[ArcTan[x, y]]) How

E^(-I Conjugate[ArcTan[x, y]])

How do I get Mathematica to recognize that ArcTan[x,y]ArcTan[x,y] is real?

I give Mathematica these commands: enter code here$Assumptions = Element[x, Reals] && Element[y, Reals] enter code here[Theta] = ArcTan[x, y] enter code herez = Exp[I [Theta]] enter code hereConjugate[z] I get enter code hereE^(-I Conjugate[ArcTan[x, y]]) How do I get Mathematica to recognize that ArcTan[x,y] is real?

I give Mathematica these commands:

$Assumptions = Element[x, Reals] && Element[y, Reals]
\[Theta] = ArcTan[x, y]
z = Exp[I \[Theta]]
Conjugate[z]

I get

E^(-I Conjugate[ArcTan[x, y]])

How do I get Mathematica to recognize that ArcTan[x,y] is real?

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W. Kerr
W. Kerr
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Complex algebra

I give Mathematica these commands: enter code here$Assumptions = Element[x, Reals] && Element[y, Reals] enter code here[Theta] = ArcTan[x, y] enter code herez = Exp[I [Theta]] enter code hereConjugate[z] I get enter code hereE^(-I Conjugate[ArcTan[x, y]]) How do I get Mathematica to recognize that ArcTan[x,y] is real?