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If (sin(x+y))/(sin(x-y))=(a+b)/(a-b) , t...

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

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To solve the equation \(\frac{\sin(x+y)}{\sin(x-y)} = \frac{a+b}{a-b}\) and show that \(\frac{\tan x}{\tan y} = \frac{a}{b}\), we can follow these steps: ### Step 1: Write the given equation We start with the equation: \[ \frac{\sin(x+y)}{\sin(x-y)} = \frac{a+b}{a-b} \] ...
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