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

  • question_answer
    In \[\Delta ABC\], if \[2s=a+b+c\], then the value of \[\frac{s(s-a)}{bc}-\frac{(s-b)(s-c)}{bc}=\]

    A) \[\sin A\]

    B) \[\cos A\]

    C) \[\tan A\]

    D) None of these

    Correct Answer: B

    Solution :

    \[{{\cos }^{2}}\frac{A}{2}-{{\sin }^{2}}\frac{A}{2}=\cos \frac{2A}{2}=\cos A.\]


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