If \( \tan (\pi \cos \theta)=\cot (\pi \sin \theta), 0\theta\frac{3 \pi}{4} \), then \( \sin \le...
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0If \( \tan (\pi \cos \theta)=\cot (\pi \sin \theta), 0\theta\frac{3 \pi}{4} \), then \( \sin \left(\theta+\frac{\pi}{4}\right) \) equals
(A) \( \frac{1}{\sqrt{2}} \)
(B) \( \frac{1}{2} \)
(C) \( \frac{1}{2 \sqrt{2}} \)
(D) \( \sqrt{2} \)
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