If \( \mathrm{A}+\mathrm{B}=45^{\circ} \), show that \( (\cot \math...

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If \( \mathrm{A}+\mathrm{B}=45^{\circ} \), show that \( (\cot \mathrm{A}-1)(\cot \mathrm{B}-1)=2 \)
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