MCQ
The value of ${e^{{{\log }_{10}}\tan 1^\circ + {{\log }_{10}}\tan 2^\circ + {{\log }_{10}}\tan 3^\circ + ........... + {{\log }_{10}}\tan 89^\circ }}$ is
- A$0$
- B$e$
- C$1/e$
- ✓None of these
$ = {e^{{{\log }_{10}}\,(\tan \,\,{1^o}\,\tan \,\,{2^o}\,\,\tan \,\,{3^o}.....\tan \,\,{{89}^o})}} = {e^{{{\log }_{10}}\,\,1}} = {e^o} $
$= 1$
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