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