JEE Main & Advanced Mathematics Trigonometric Equations Question Bank Periodic functions

  • question_answer
    Period of \[\sin \theta -\sqrt{3}\cos \theta \]is  [MP PET 1990]

    A) \[\frac{\pi }{4}\]

    B) \[\frac{\pi }{2}\]

    C) \[\pi \]

    D) \[2\pi \]

    Correct Answer: D

    Solution :

    \[\sin \theta -\sqrt{3}\cos \theta =2\sin \left( \theta -\frac{\pi }{3} \right)\], hence period = \[2\pi \].


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