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Trig identity for linear combination of sines

• To: mathgroup at smc.vnet.net
• Subject: [mg100814] Trig identity for linear combination of sines
• From: Chelly <chelly85086 at gmail.com>
• Date: Sun, 14 Jun 2009 21:20:41 -0400 (EDT)

Hi:

I have a function which is a linear combination of sines, of the form

y = a*sin(x+q) + b*sin(x+r) + c*sin(x+t)

and I am looking for a trignometric identity that would reduce the above to the form

y = A*sin(x+Z)

I would also like to find out how to implement this rule in Mathematica. 

Thanks
Chelly

• Follow-Ups:
  • Re: Trig identity for linear combination of sines
    • From: Andrzej Kozlowski <akoz@mimuw.edu.pl>