If \( \sin \alpha=\frac{15}{53} \) and \( \sin \beta=\frac{33}{65} \), find the values of \( \si...

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If \( \sin \alpha=\frac{15}{53} \) and \( \sin \beta=\frac{33}{65} \), find the values of \( \sin (\alpha-\beta) \) and \( \sin (\alpha+\beta) \).
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