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Re: Trig identity for linear combination of sines

  • To: mathgroup at smc.vnet.net
  • Subject: [mg131509] Re: Trig identity for linear combination of sines
  • From: Ray Koopman <koopman at sfu.ca>
  • Date: Fri, 16 Aug 2013 07:05:39 -0400 (EDT)
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See http://forums.wolfram.com/mathgroup/archive/2009/Jun/msg00479.html

----- orenpedatzur at gmail.com wrote:
> 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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