If \( y=\frac{\sqrt{1-\sin 4 A}+1}{\sqrt{1+\sin 4 A}-1} \), then one of the value of \( y \) is ...

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If \( y=\frac{\sqrt{1-\sin 4 A}+1}{\sqrt{1+\sin 4 A}-1} \), then one of the value of \( y \) is (a) \( -\tan A \)
(b) \( \cot A \)
(c) \( \tan \left(\frac{\pi}{4}+A\right) \)
(d) \( -\cot \left(\frac{\pi}{4}+A\right) \)
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