If \( \sin (\pi \cot \theta)=\cos (\pi \tan \theta) \), then (A) \( \cot 2 \theta=\pm \frac{1}{4...

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If \( \sin (\pi \cot \theta)=\cos (\pi \tan \theta) \), then
(A) \( \cot 2 \theta=\pm \frac{1}{4},-\frac{3}{4} \)
(B) \( \cot 2 \theta=-\frac{3}{4},-\frac{1}{4} \)
(C) \( \cot 2 \theta=4, \frac{4}{3} \)
(D) none of these
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