\( \frac{\sqrt{2}-\sin \alpha-\cos \alpha}{\sin \alpha-\cos \alpha} \) is equal to (A) \( \sec \...

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\( \frac{\sqrt{2}-\sin \alpha-\cos \alpha}{\sin \alpha-\cos \alpha} \) is equal to
(A) \( \sec \left(\frac{\alpha}{2}-\frac{\pi}{8}\right) \)
(B) \( \cos \left(\frac{\pi}{8}-\frac{\alpha}{2}\right) \)
(C) \( \tan \left(\frac{\alpha}{2}-\frac{\pi}{8}\right) \)
(D) \( \cot \left(\frac{\alpha}{2}-\frac{\pi}{2}\right) \)
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