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Trignometric rules

  • To: mathgroup at smc.vnet.net
  • Subject: [mg118150] Trignometric rules
  • From: Chelly <chelly85086 at gmail.com>
  • Date: Thu, 14 Apr 2011 04:50:39 -0400 (EDT)

I have an expression as hsown below

tt = -4 k1^2 v^2 \[Epsilon]1^2 \[Epsilon]c^2 Cos[2 d1 + d2 + d3] - 
   2 k1 k2 u^2 \[Epsilon]1 Cos[d1 + d2 - \[Phi]b - \[Phi]r] + 
   2 k1^2 v^2 \[Epsilon]1^2 \[Epsilon]c^2 Cos[
     2 d1 + d2 + d3 - \[Phi]b - \[Phi]r] + 
   2 k1^3 k2 v^2 \[Epsilon]1^3 \[Epsilon]c^2 Cos[
     d1 + d3 + \[Phi]b + \[Phi]r] + 
   2 k1^2 u^2 \[Epsilon]1^2 Cos[2 d1 + d2 + d3 + \[Phi]b + \[Phi]r] - 
   2 k1^2 v^2 \[Epsilon]1^2 \[Epsilon]c^2 Cos[
     2 d1 + d2 + d3 + \[Phi]b + \[Phi]r];

I'd like to replace any term containing Cos[+/- phib + x_]  with 2 Sin [+/-phib] Sin[x]. How do I go about doing it.

Thanks
Chelly


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