80. For \( k \in R \), let the solution of the equation
\[
\begin{array}{l}
\cos \left(\sin ^{-1}\left(x \cot \left(\tan ^{-1}\left(\cos \left(\sin ^{-1}\right)\right)\right)\right)\right) \\
=k, 0<|x|<\frac{1}{\sqrt{2}}
\end{array}
\]
Inverse trigonometric functions take only principal values. If the solutions of the equation \( x^{2}-b x-5= \) 0 are \( \frac{1}{\alpha^{2}}+\frac{1}{\beta^{2}} \) and \( \frac{\alpha}{\beta} \), then \( \frac{b}{k^{2}} \) is equal to
[JEE (Main)-2022]
