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(sinx-siny)/(cosx+cosy)=tan(x-y)/(2)...

`(sinx-siny)/(cosx+cosy)=tan(x-y)/(2)`

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To prove the equation \(\frac{\sin x - \sin y}{\cos x + \cos y} = \tan\left(\frac{x - y}{2}\right)\), we will start with the left-hand side (LHS) and manipulate it to reach the right-hand side (RHS). ### Step-by-Step Solution: 1. **Start with the LHS:** \[ \text{LHS} = \frac{\sin x - \sin y}{\cos x + \cos y} \] ...
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