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Prove that: (cosx-cosy)^2+(sinx-siny)^2=...

Prove that: `(cosx-cosy)^2+(sinx-siny)^2=4sin^2``(x-y)/2`

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To prove the equation \((\cos x - \cos y)^2 + (\sin x - \sin y)^2 = 4 \sin^2\left(\frac{x - y}{2}\right)\), we will start from the left-hand side (LHS) and manipulate it to reach the right-hand side (RHS). ### Step-by-Step Solution: 1. **Start with the LHS:** \[ (\cos x - \cos y)^2 + (\sin x - \sin y)^2 \] ...
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