Prove that sin(x+y)/sin(x-y) =tanx+tany/tanx-tany
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Govind Singh 7 years, 11 months ago
As
sin(x+y)=sinxcosy + cosyxsiny
sin(x-y)=sinxcosy-cosxsiny
Now sin(x+y)/sin(x-y)=sinxcosy+cosxsiny/sinxcosy-cosxsiny
Dividing numerator and denominatory cos x cos y and solving we get
tanx + tany/tanx - tany
Hope it help u
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