JEE Main & Advanced Mathematics Trigonometric Equations Question Bank Solution of trigonometrical equations

  • question_answer
    If \[{{\sin }^{2}}\theta =\frac{1}{4},\]then the most general value of \[\theta \]is  [MNR 1973; MP PET 1984, 90]

    A) \[2n\pi \pm {{(-1)}^{n}}\frac{\pi }{6}\]

    B) \[\frac{n\pi }{2}\pm {{(-1)}^{n}}\frac{\pi }{6}\]

    C) \[n\pi \pm \frac{\pi }{6}\]

    D) \[2n\pi \pm \frac{\pi }{6}\]

    Correct Answer: C

    Solution :

    \[{{\sin }^{2}}\theta =\frac{1}{4}=\]\[{{\sin }^{2}}\frac{\pi }{6}\Rightarrow \theta =n\pi \pm \frac{\pi }{6}\].


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