For \(k \in R\), let the solution of the equation \(\cos \left(\sin ^{-1}\left(x \cot \left(\tan....

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For \(k \in R\), let the solution of the equation
\(\cos \left(\sin ^{-1}\left(x \cot \left(\tan ^{-1}\left(\cos \left(\sin ^{-1}x\right)\right)\right)\right)\right)=k, 0<|x|<\frac{1}{\sqrt{2}}\)
Inverse trigonometric functions take only principal values. If the solutions of the equation \(x^2-b x-5=0\) are
\(\frac{1}{\alpha^2}+\frac{1}{\beta^2} \text { and } \frac{\alpha}{\beta}\) , then \(b / k^2\) is equal to................ 📲PW App Link - https://bit.ly/YTAI_PWAP 🌐PW Website - https://www.pw.live




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