JEE Main & Advanced Mathematics Functions Question Bank Functions

  • question_answer
    Range of the function \[f(x)={{\sin }^{2}}({{x}^{4}})+{{\cos }^{2}}({{x}^{4}})\] is

    A)                    \[(-\infty ,\ \infty )\]

    B)             {1}

    C)            (?1, 1)

    D)            (0, 1)

    Correct Answer: B

    Solution :

               \[f(x)={{\sin }^{2}}({{x}^{4}})+{{\cos }^{2}}({{x}^{4}})=1\]. Hence range \[=\left\{ 1 \right\}.\]


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