Trigo!

Geometry Level 2

\[\large \begin{cases} x = a \sec^3 \beta \ \tan \beta \\ y = b \tan^3 \beta \ \sec \beta \end{cases} \]

Given the above, find \(\sin^2 \beta\).

Details and assumptions:

  • \(a\), \(b\), \(x\), \(y\), \(\sin\beta\), \(\cos\beta ≠ 0\).
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