JEE Main & Advanced Mathematics Trigonometric Equations Question Bank Periodic functions

  • question_answer
    Period of \[\sin \frac{x}{2}-\cos \frac{x}{3}\] is

    A) \[2\pi \]

    B) \[4\pi \]

    C) \[8\pi \]

    D) \[12\pi \]

    Correct Answer: D

    Solution :

    Period of \[\sin \frac{x}{2}\] is \[4\pi \] and period of \[\cos \frac{x}{3}\] is \[6\pi \]. Hence period of expression is \[12\pi \] (L.C.M.).


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