Given that, \[ A_n = \sin^{n}\theta + \cos^{n}\theta \] where **n** is whole number and \( \theta \epsilon \mathbb{R} \).

If, \( A_{n-2} - A_n =( \sin^2\theta \cos^2\theta ) A_{\lambda} \). What is the value of \( \lambda \) ?

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