CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2004

  • question_answer
    The     range     of     the     function \[\sin ({{\sin }^{-1}}x+co{{s}^{-1}}x),|x|\le 1\] is:

    A)  \[[-1,1]\]                            

    B)  \[[1,-1]\]

    C)  \[\{0\}\]             

    D)         \[\{-1\}\]

    E)  \[\{1\}\]

    Correct Answer: E

    Solution :

    \[\sin ({{\sin }^{-1}}x+{{\cos }^{-1}}x)=\sin (\pi /2)=1\] \[\therefore \]Range of \[\sin ({{\sin }^{-1}}x+{{\cos }^{-1}}x)=1\]


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