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JEE Main & Advanced Mathematics Trigonometric Equations Question Bank Periodic functions

  • question_answer
    The period of the function \[f(\theta )=\sin \frac{\theta }{3}+\cos \frac{\theta }{2}\]is [EAMCET 2001]

    A) \[3\pi \]

    B) \[6\pi \]

    C) \[9\pi \]

    D) \[12\pi \]

    Correct Answer: D

    Solution :

    Period of \[\sin (\theta /3)=6\pi \] and period of \[\cos (\theta /2)=4\pi \] L.C.M. of \[6\pi \]and \[4\pi \]=\[12\pi \].


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