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KVPY Sample Paper KVPY Stream-SX Model Paper-28

  • question_answer
    Which of the following is/are value of  \[\sin \ln {{({{i}^{i}})}^{{{i}^{2}}}}+\cos \,\,\ln {{({{i}^{i}})}^{{{i}^{2}}}}?\]

    A) -1

    B) 1

    C) 0

    D) None of these

    Correct Answer: B

    Solution :

    Let \[z=\sin \ln {{\left( {{i}^{i}} \right)}^{{{i}^{2}}}}+\cos \ln {{\left( {{i}^{i}} \right)}^{{{i}^{2}}}}\]
    \[=\sin \left\{ \ln {{\left( {{e}^{\frac{\pi }{2}}} \right)}^{-1}} \right\}+\cos \left\{ \ln {{\left( {{e}^{-\frac{\pi }{2}}} \right)}^{-1}} \right\}\]
    \[=\sin \frac{\pi }{2}+\cos \frac{\pi }{2}=1\]


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