JEE Main & Advanced AIEEE Solved Paper-2002

  • question_answer
    The period of \[{{\sin }^{2}}\theta \] is   AIEEE  Solved  Paper-2002

    A) \[{{\pi }^{2}}\]   

    B)                                          \[\pi \]     

    C)           \[2\pi \]                  

    D)           \[\pi /2\]

    Correct Answer: B

    Solution :

                       Period of \[\sin \theta \] and \[\cos \theta \] is \[2\pi \]. Since, \[{{\sin }^{2}}\theta =\frac{1-\cos 2\theta }{2}=\frac{1}{2}-\frac{1}{2}\cos 2\theta \] \[\therefore \] Period of \[{{\sin }^{2}}\theta =\frac{2\pi }{2}=\pi \]


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