Home » Ask & Discuss » Mathematics. » Trignometry « Back to Discussion
Trignometry
Comments (2)
hemang
Blazing goIITian

Joined: 27 Dec 2010
Posts: 1474
22 Apr 2011 11:13:05 IST
Like
0 people liked this
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................
Reply











