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Prove that: (cos(A-B)+sinA-cos(A+B))/(...

Prove that:
`(cos(A-B)+sinA-cos(A+B))/(sin(A+B)+cosA-sin(A-B))=tanA`

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To prove that \[ \frac{\cos(A-B) + \sin A - \cos(A+B)}{\sin(A+B) + \cos A - \sin(A-B)} = \tan A, \] we will simplify the left-hand side step by step. ...
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