If \( \tan \beta=\frac{n \sin \alpha \cos \alpha}{1-n \sin ^{2} \alpha} \), then show that \( \t...

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If \( \tan \beta=\frac{n \sin \alpha \cos \alpha}{1-n \sin ^{2} \alpha} \), then show that \( \tan (\alpha-\beta)=(1-n) \tan \alpha \)
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