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JEE Main & Advanced Sample Paper JEE Main Sample Paper-21

  • question_answer
    If \[A+B+C=\pi \] and \[\sin \left( A+\frac{C}{2} \right)=4\sin \frac{C}{2},\]then \[\tan \frac{A}{2}\tan \frac{B}{2}\] is equal to

    A)  \[\frac{1}{3}\]                                     

    B)  \[\frac{1}{2}\]

    C)  \[\frac{3}{5}\]                                     

    D)  \[\frac{5}{3}\]

    Correct Answer: C

    Solution :

    \[\frac{\sin \left( A+\frac{C}{2} \right)}{\sin \left( \frac{C}{2} \right)}\,=4\]


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