Find lim⁡x→11π4sin⁡(x)cos⁡(x−π4)⋅tan⁡(x−π2)csc⁡(x−3π4)⋅sec⁡(x−π)cot⁡(x−5π4)\begin{array}{rl} \lim_{x\to\frac{11\pi}{4}}&{\sin(x)\cos(x-\frac{\pi}{4})}\\ &\cdot\tan(x-\frac{\pi}2)\csc(x-\frac{3\pi}4)\\ &\cdot\sec(x-\pi)\cot(x-\frac{5\pi}4) \end{array}

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