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Getting Symbolic Real and Imag Parts? (Once Again)

• To: mathgroup at smc.vnet.net
• Subject: [mg33443] Getting Symbolic Real and Imag Parts? (Once Again)
• From: aes <siegman at stanford.edu>
• Date: Thu, 21 Mar 2002 09:27:32 -0500 (EST)
• Organization: Stanford University
• Sender: owner-wri-mathgroup at wolfram.com

OK,  so you can use ComplexExpand expand to find the symbolic real and imag 
parts of an expression -- e.g. the input

      zComplex = ComplexExpand[ Sin[a+I b], TargetFunctions->{Re,Im}]

gives as output

      Cosh[b] Sin[a] + I Cos[a] Sinh[b]

as desired.  But now, how do I get Mathematica to peel out the symbolically real and 
imaginary parts of this? -- that is, what inputs

      zR = ???

      zI = ???

will give as outputs 

      Cosh[b] Sin[a]

and

      Cos[a] Sinh[b]

(Maybe an example in the ComplexExpand Help file would be helpful?)

• Follow-Ups:
  • RE: Getting Symbolic Real and Imag Parts? (Once Again)
    • From: "Higinio Ramos" <higra@usal.es>