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

  • question_answer
    \[\cot \frac{A+B}{2}\]. \[\tan \frac{A-B}{2}=\] [Roorkee 1975]

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

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

    C) \[\frac{a}{a+b}\]

    D) None of these

    Correct Answer: B

    Solution :

    \[\tan \frac{A-B}{2}=\frac{a-b}{a+b}\cot \frac{C}{2}=\frac{a-b}{a+b}\tan \left( \frac{A+B}{2} \right)\] Þ  \[\tan \frac{A-B}{2}\cot \frac{A+B}{2}=\frac{a-b}{a+b}\].


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