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solve hangs on Arc Functions

  • To: mathgroup at yoda.ncsa.uiuc.edu (mathgroup for mathematica)
  • Subject: solve hangs on Arc Functions
  • From: Steven Warwick <sdw at hpsadsdw.hp.com>
  • Date: Wed, 5 Sep 90 9:11:48 PDT

There appears to be a bug in solve in which expressions 
involving Arc Trig functions cause Mma to hang with no return...

***************** This hangs

In[3]:= ww==ArcCos[ (4-ts^2 wc^2)/ (4+ts^2 wc^2)]

                           2   2
                     4 - ts  wc
Out[3]= ww == ArcCos[-----------]
                           2   2
                     4 + ts  wc

In[4]:= Solve[%,wc]


***********  this doesn't **********



In[4]:=  Cos[wt] == (4-ts^2 wc^2)/ (4+ts^2 wc^2)

                         2   2
                   4 - ts  wc
Out[4]= Cos[wt] == -----------
                         2   2
                   4 + ts  wc

In[5]:= Solve[%,wc]

                  Sqrt[4 - 4 Cos[wt]]                Sqrt[4 - 4 Cos[wt]]
Out[5]= {{wc -> -----------------------}, {wc -> -(-----------------------)}}
                       2     2                            2     2
                Sqrt[ts  + ts  Cos[wt]]            Sqrt[ts  + ts  Cos[wt]]



**********************************


Watch out.....


--
Steven Warwick

Hewlett-Packard
sdw at hpsad


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