If \( \cos x=\frac{\cos \alpha+\cos \beta}{1+\cos \alpha \cos \beta} \), prove that \( \tan \fra...

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If \( \cos x=\frac{\cos \alpha+\cos \beta}{1+\cos \alpha \cos \beta} \), prove that \( \tan \frac{x}{2}=\pm \tan \frac{\alpha}{2} \tan \frac{\beta}{2} \)
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