1.

If \[(\sec \alpha +\tan \alpha )(\sec \beta +\tan \beta )(\sec \gamma +\tan \gamma )\]\[=\tan \alpha \tan \beta \tan \gamma \], then \[(\sec \alpha -\tan \alpha )(\sec \beta -\tan \beta )\] \[(\sec \gamma -\tan \gamma )=\]        [Kurukshetra CEE 1998]

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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