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Trignometry

aryan  saxena's Avatar
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21 Apr 2011 23:43:31 IST
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sinC+sinD=2sin*C+D/2*cos*C-D/2
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sinC+sinD=2sin*C+D/2*cos*C-D/2


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hemang's Avatar

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Joined: 27 Dec 2010
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22 Apr 2011 11:13:05 IST
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sinX + sinY = 2sin[ (X + Y) / 2 ]* cos[ (X - Y) / 2 ] so putting X as C and Y as D we get your you are asking for.we can prove it too. we know that sin(x+y) = sinx*cosy+cosx*sinyand sin(x-y) = sinx*cosy-cosx*siny.so putting (x) as (C+D)/2 and (y) as (C-D)/2 we get sin(x+y) + sin(x-y) = 2sinx*cosy or 2sin(C+D)/2*cos(C-D)/2 by solving we get (x+y) as 2C/2 or C. so sin(x+y0 is sinC and similarly sin(x-y) becomes 2D/2 or D.  please rate me................

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8 Feb 2012 13:27:35 IST
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sinC+sinD=2sin*C+D/2*cos*C-D/2



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