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

  • question_answer
    General solution of the equation \[\cot \theta -\tan \theta =2\]is

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

    B) \[\frac{n\pi }{2}+\frac{\pi }{8}\]

    C) \[\frac{n\pi }{2}\pm \frac{\pi }{8}\]

    D) None of these

    Correct Answer: B

    Solution :

    On simplification, it reduces to \[\cos 2\theta =\sin 2\theta \] \[\Rightarrow \]  \[\tan 2\theta =\tan \frac{\pi }{4}\Rightarrow 2\theta =n\pi +\frac{\pi }{4}\Rightarrow \theta =\frac{n\pi }{2}+\frac{\pi }{8}\].


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