The value of \( \frac{2\left(\sin 2 x+2 \cos ^{2} x-1\right)}{\cos x-\sin x-\cos 3 x+\sin 3 x} \...

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The value of \( \frac{2\left(\sin 2 x+2 \cos ^{2} x-1\right)}{\cos x-\sin x-\cos 3 x+\sin 3 x} \) is
(A) \( \cos x \)
(B) \( \sec x \)
(C) \( \operatorname{cosec} x \)
(D) \( \sin x \)
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