It looks symmetric...

Geometry Level 1

If \[\quad \quad \dfrac{\cos^4\alpha}{\cos^2\beta}+\dfrac{\sin^4\alpha}{\sin^2\beta}=1,\] find the value of \[\dfrac{\sin^4\beta}{\sin^2\alpha}+\dfrac{\cos^4\beta}{\cos^2\alpha}.\]

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