If for log_cosx (cot x) - 4log_(sinx) cotx =1, x = sin^{-1} - Sarthaks eConnect

If for \(\log_{\cos x}(\cot x) - 4\log_{(\sin x)} \cot x = 1\), \(x = \sin^{-1} \left(\frac{\alpha + \sqrt{\beta}}2\right)\). Find \((\alpha + \beta)\), given \(x \in (0, \frac \pi 2)\).

If for log_cosx (cot x) - 4log_(sinx) cotx =1, x = sin^{-1}

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