Let \( \alpha \) and \( \beta \) be real numbers such that
\( -\frac{\pi}{4}\beta0\alpha\frac{\p... VIDEO
Let \( \alpha \) and \( \beta \) be real numbers such that
\( -\frac{\pi}{4}\beta0\alpha\frac{\pi}{4} \). If \( \sin (\alpha+\beta)=\frac{1}{3} \) and \( \cos (\alpha-\beta) \)
\( =\frac{2}{3} \) then the greatest integer less than or equal to
\( -\left(\frac{\sin \alpha}{\cos \beta}+\frac{\cos \beta}{\sin \alpha}+\frac{\cos \alpha}{\sin \beta}+\frac{\sin \beta}{\cos \alpha}\right)^{2} \)
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