JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2009

  • question_answer
        The value of\[\cos (2{{\cos }^{-1}}0.8)\]is

    A)  0.48                                      

    B)  0.96

    C)  0.6                                        

    D)  None of these

    Correct Answer: D

    Solution :

                    Since, \[2{{\cos }^{-1}}x={{\cos }^{-1}}(2{{x}^{2}}-1)\] Therefore, \[2{{\cos }^{-1}}0.8={{\cos }^{-1}}(2\times 0.64-1)={{\cos }^{-1}}(0.28)\] \[\Rightarrow \] \[\cos (2{{\cos }^{-1}}0.8)=\cos ({{\cos }^{-1}}0.28)=0.28\]


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