JEE Main & Advanced Mathematics Trigonometric Equations Question Bank Relation between sides and angles, Solutions of triangles

  • question_answer
    If \[\tan \frac{B-C}{2}=x\cot \frac{A}{2},\]then \[x=\] [MP PET 1992, 2002]

    A) \[\frac{c-a}{c+a}\]

    B) \[\frac{a-b}{a+b}\]

    C) \[\frac{b-c}{b+c}\]

    D) None of these

    Correct Answer: C

    Solution :

    \[\tan \frac{B-C}{2}=x\cot \frac{A}{2}\Rightarrow x=\frac{b-c}{b+c}\].


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