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

  • question_answer
    In \[\Delta \,ABC\], \[a=2cm,b=3cm\] and \[c=4cm\] , then angle A is [MNR 1973; MP PET 1984, 2002]

    A) \[{{\cos }^{-1}}\left( \frac{1}{24} \right)\]

    B) \[{{\cos }^{-1}}\left( \frac{11}{16} \right)\]

    C) \[{{\cos }^{-1}}\left( \frac{7}{8} \right)\]

    D) \[{{\cos }^{-1}}\left( -\frac{1}{4} \right)\]

    Correct Answer: B

    Solution :

    Use \[\cos A=\frac{{{b}^{2}}+{{c}^{2}}-{{a}^{2}}}{2bc}\].


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