1.

If \[(\sec \alpha +\tan \alpha )(\sec \beta +\tan \beta )(\sec \gamma +\tan \gamma )\] \[=\tan \,\alpha \tan \beta \tan \gamma ,\] then expression \[(\sec \alpha -\tan \alpha )\,(sec\beta -tan\beta )(sec\gamma -tan\gamma )\]is equal to

A. \[\cot \alpha \,\,\cot \beta \,\,\cot \gamma \]
B. \[\tan \alpha \,\,tan\beta \,\,tan\gamma \]
C. \[\cot \alpha +\cot \beta +\cot \gamma \]
D. \[tan\alpha +tan\beta +tan\gamma \]
Answer» B. \[\tan \alpha \,\,tan\beta \,\,tan\gamma \]


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