If \( \sec x=\sqrt{2} \) and \( \frac{3 \pi}{2}x2 \pi \), find the value of \( \frac{1+\tan x+\o...

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If \( \sec x=\sqrt{2} \) and \( \frac{3 \pi}{2}x2 \pi \), find the value of \( \frac{1+\tan x+\operatorname{cosec} x}{1+\cot x-\operatorname{cosec} x} \).
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