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Re: Avoid the use of certain functions

  • To: mathgroup at smc.vnet.net
  • Subject: [mg111037] Re: Avoid the use of certain functions
  • From: Murray Eisenberg <murray at math.umass.edu>
  • Date: Sun, 18 Jul 2010 01:02:47 -0400 (EDT)

I don't think I understand your question, given that Sec^-1 means 
ArcSec. Which are you trying to avoid, ArcSec or hyperbolic functions 
Sech, etc.?

If you're just trying to avoid hyperbolic functions, you could use 
TrigToExp, e.g.:

   TrigToExp[Sech[x]] // InputForm
2/(E^(-x) + E^x)

[For purposes of text messages in this newsgroup, I used InputForm there 
just in order to produce a 1-dimensional output instead of an actual 
2-dimensional built-up (compound) fraction.]

Similary:

   TrigToExp[ArcSech[x]]
Log[Sqrt[-1 + x^(-1)]*Sqrt[1 + x^(-1)] + x^(-1)]



On 7/17/2010 8:16 AM, Sam Takoy wrote:
> Hi,
>
> Is there a way to ask Mathematica to avoid expressing answers in terms
> of certain functions. For example, I can stand Sec, Csc, Sech, and Csch
> and would rather see Sec^-1, etc.
>
> Thanks!
>

-- 
Murray Eisenberg                     murray at math.umass.edu
Mathematics & Statistics Dept.
Lederle Graduate Research Tower      phone 413 549-1020 (H)
University of Massachusetts                413 545-2859 (W)
710 North Pleasant Street            fax   413 545-1801
Amherst, MA 01003-9305


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