Re: Getting Symbolic Real and Imag Parts? (Once Again)

• To: mathgroup at smc.vnet.net
• Subject: [mg33495] Re: [mg33443] Getting Symbolic Real and Imag Parts? (Once Again)
• From: Andrzej Kozlowski <andrzej at tuins.ac.jp>
• Date: Sun, 24 Mar 2002 01:43:46 -0500 (EST)
• Sender: owner-wri-mathgroup at wolfram.com

```How about simply:

In[3]:=
ComplexExpand[Re[Sin[a+I b]]]

Out[3]=
Cosh[b] Sin[a]

In[4]:=
ComplexExpand[Im[Sin[a+I b]]]

Out[4]=
Cos[a] Sinh[b]
??

On Thursday, March 21, 2002, at 02:27  PM, aes wrote:

> 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?)
>
>
>
Andrzej Kozlowski
Toyama International University
JAPAN
http://platon.c.u-tokyo.ac.jp/andrzej/

```

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