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Prove that: i) sin(A+B)cos(A-B)-cos(A+...

Prove that:
i) `sin(A+B)cos(A-B)-cos(A+B)sin(A-B)=sin2B`
ii) `cos(45^(@)-A)cos(45^(@)-B)-sin(45^(@)-A)sin(45^(@)-B)=sin(A+B)`

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