XPost: comp.os.linux.advocacy, sci.math   
   From: PointedEars@web.de   
      
   [pointless Followup-To comp.os.linux.advocacy ignored; F'up2 sci.math set]   
      
   Farley Flud wrote:   
   > Any math heads out there?   
   >   
   > The following two expressions are equal.  That is, substituting any value   
   > of t in the expressions will produce the same value.   
   >   
   > Yet, I cannot reduce one to the other using algebra and the trig identities.   
   > It must be possible but I can't find a way to do it.   
   >   
   > Can you?   
      
   Next time, use standard (ASCII) notation and not Unicode *art*.  There is a   
   place and time for ASCII and Unicode art; posting mathematical problems on   
   Usenet is NOT it.   
      
   Notice that at least Thunderbird converts some ASCII character sequences to   
   Unicode, like x^2 (x followed by circumflex followed by 2).   
      
   Before I attempt to simplify this: Are the expressions below those that you   
   meant?   
      
   > Eternal fame awaits the person who can solve this.   
      
   8-)   
      
   > Expression 1: [rewritten using standard notation as I see it]   
   >   
   > {8 sqrt(3) cos(t) sqrt[3 cos^2(t) + 1] sin(t)   
   >   + [27 cos^4(t) + 18 cos^2(t) + 3] sin(t)}/   
   > {36 cos^4(t) + 24 cos^2(t) + 4}   
   >   
   > Expression 2: [ditto]   
   > [...]   
   >   
   > {sqrt[3 cos^2(t) + 1] [9 cos^2(t) + 3] sin(t) + 8 sqrt(3) cos(t) sin(t)}/   
   > {sqrt[3 cos^2(t) + 1] [12 cos^2(t) + 4]}   
      
   --   
   PointedEars   
      
   Twitter: @PointedEars2   
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