\(\alpha\) to \(\beta\)

Geometry Level 2

If \[\large \dfrac{\cos^4 \alpha}{\cos^2 \beta}+\dfrac{\sin^4\alpha}{\sin^2\beta}=1\] then \[\large \dfrac{\cos^4 \beta}{\cos^2 \alpha}+\dfrac{\sin^4\beta}{\sin^2\alpha}=?\]

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