The minimum value of \( \alpha \) for which the equation \( \frac{4}{\sin x}+\frac{1}{1-\sin x}=...

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The minimum value of \( \alpha \) for which the equation \( \frac{4}{\sin x}+\frac{1}{1-\sin x}=\alpha \) has at least one solution in \( \left(0, \frac{\pi}{2}\right) \) is
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