If \( \{\sin (\alpha-\beta)+\cos (\alpha+2 \beta) \sin \beta\}^{2}=...
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If \( \{\sin (\alpha-\beta)+\cos (\alpha+2 \beta) \sin \beta\}^{2}=4 \cos \alpha \sin \beta \sin (\alpha+\beta) \). Then, prove that \( \tan \alpha+\tan \beta=\frac{\tan \beta}{(\sqrt{2} \cos \beta-1)^{2}} \);
P \( \alpha, \beta \in(0, \pi / 4) \)
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\( \sin (\alpha-\beta)- \)
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