If \( \tan ^{-1} x+\tan ^{-1} y=\frac{4 \pi}{5} \), then \( \cot ^{...

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If \( \tan ^{-1} x+\tan ^{-1} y=\frac{4 \pi}{5} \), then \( \cot ^{-1} x+\cot ^{-1} y \) equals
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WV
(A) \( \frac{\pi}{5} \)
(B) \( \frac{2 \pi}{5} \)
(C) \( \frac{3 \pi}{5} \)
(D) \( \pi \)
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