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

  • question_answer
    If \[{{\sec }^{2}}\theta =\frac{4}{3}\], then the general value of \[\theta \]is  [MP PET 1988]

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

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

    C) \[2n\pi \pm \frac{\pi }{3}\]

    D) \[n\pi \pm \frac{\pi }{3}\]

    Correct Answer: B

    Solution :

    \[{{\cos }^{2}}\theta =\frac{3}{4}={{\cos }^{2}}\left( \frac{\pi }{6} \right)\Rightarrow \theta =n\pi \pm \frac{\pi }{6}\].


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