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Prove sin⁡(π−x)+cos⁡(x−x)=sin⁡x−cos⁡x\sin ( \pi - x ) + \cos ( x - x ) = \sin x - \cos x

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Prove sin⁡(π−x)+cos⁡(x−x)=sin⁡x−cos⁡x\sin ( \pi - x ) + \cos ( x - x ) = \sin x - \cos x .

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