If \( \cot x \cot y=2 \), show that \( \frac{\cos (x+y)}{\cos (x-y)}=\frac{1}{3} \).

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If \( \cot x \cot y=2 \), show that \( \frac{\cos (x+y)}{\cos (x-y)}=\frac{1}{3} \).
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