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If sin(x+y)=k sin(x-y), then prove that:- tan x : tan y = (k+1):(k-1)

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If sin(x+y)=k sin(x-y), then prove that:- tan x : tan y = (k+1):(k-1)
If sin(x+y)=k sin(x-y), then prove that:- tan x : tan y = (k+1):(k-1)
If `(sin(x+y))/(sin(x-y))=(a+b)/(a-b)` , show that `(tanx)/(tany)=a/b` .
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