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

  • question_answer
    In triangle ABC, \[A={{30}^{o}},b=8,a=6\], then \[B={{\sin }^{-1}}x\], where x = [Karnataka CET 1990]

    A) \[\frac{1}{2}\]

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

    C) \[\frac{2}{3}\]

    D) 1

    Correct Answer: C

    Solution :

    \[\frac{\sin B}{b}=\frac{\sin A}{a}\] Þ \[\sin B=\frac{b\sin A}{a}=\frac{8\sin {{30}^{o}}}{6}=\frac{2}{3}\].


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