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Manipal Engineering Manipal Engineering Solved Paper-2013

  • question_answer
    The minimum value of the expression\[\sin \alpha +\sin \beta +\sin \gamma \], where\[\alpha ,\,\,\beta ,\,\,\gamma \]are real numbers satisfying\[\alpha +\beta +\gamma =\pi \]is

    A)  positive                              

    B)  zero

    C)  negative        

    D)         -3

    Correct Answer: C

    Solution :

          For\[\alpha =-\frac{\pi }{2},\,\,\beta =-\frac{\pi }{2}\]and\[r=2\pi \] \[\sin \alpha +\sin \beta +\sin \gamma =-2\] \[\Rightarrow \]minimum value of the expression is negative


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