If \( |\operatorname{cosec} x|=\frac{5 \pi}{4}-\left|\frac{x}{2}\right|, \forall x \in(-2 \pi, 2....

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If \( |\operatorname{cosec} x|=\frac{5 \pi}{4}-\left|\frac{x}{2}\right|, \forall x \in(-2 \pi, 2 \pi) \), then the number
\( \mathrm{P} \)
of solutions is
(1) 8
(2) 6
(3) 4
(4) 2


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