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SSC Sample Paper Mock Test-19 SSC CGL Tear-II Paper-1

  • question_answer
    If  \[A+B+C=180{}^\circ ,\] then  \[\cot A\cot B+\cot B\cot C+\cot C\cot A\] is equal to

    A)  \[-1\]

    B)  \[2\]

    C)  \[\pi \]

    D)  \[1\]

    Correct Answer: D

    Solution :

    From above \[\tan A+\tan B+\tan C=\tan A\tan B\tan C\] On dividing both sides by \[\tan A\tan B\tan C,\] \[\frac{1}{\tan B\tan C}+\frac{1}{\tan A\tan C}+\frac{1}{\tan A\tan B}=1\] \[\Rightarrow \]\[\cot B\cot C+\cot A\cot C+\cot A\cot B=1\]


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