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

  • question_answer
    If \[A={{60}^{o}}\], \[a=5,b=4\sqrt{3}\]in \[\Delta ABC\], then B =

    A) \[{{30}^{o}}\]

    B) \[{{60}^{o}}\]

    C) \[{{90}^{o}}\]

    D) None of these

    Correct Answer: D

    Solution :

    \[\frac{a}{\sin A}=\frac{b}{\sin B}\] Þ \[\sin B=\frac{(b\sin A)}{a}=\frac{(4\sqrt{3}\sin {{60}^{o}})}{5}=\frac{6}{5}>1\], which is inadmissible.


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