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Prove that: (cos7A+cos5A)/(sin7A-sin5A...

Prove that:
`(cos7A+cos5A)/(sin7A-sin5A)=cotA`

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To prove that \[ \frac{\cos 7A + \cos 5A}{\sin 7A - \sin 5A} = \cot A \] we will use the sum-to-product identities for cosine and sine. ...
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