If \( \cot \mathrm{A}=\tan (n-1) \mathrm{A} \), show that one value...

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If \( \cot \mathrm{A}=\tan (n-1) \mathrm{A} \), show that one value of \( \mathrm{A} \) is \( \frac{\pi}{2 n} \).
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