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Re: Trig identity for linear combination of sines

  • To: mathgroup at smc.vnet.net
  • Subject: [mg131507] Re: Trig identity for linear combination of sines
  • From: orenpedatzur at gmail.com
  • Date: Thu, 15 Aug 2013 01:20:46 -0400 (EDT)
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On Monday, June 15, 2009 2:07:21 AM UTC+3, Chelly wrote:
> 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

Hi Chelly

This kind of linear combination of sines is covered in wikipedia article on trigonometric identities:

http://en.wikipedia.org/wiki/List_of_trigonometric_identities

I would also like to know how to implement this in mathematica.

bye!

Oren P



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