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

  • question_answer
    If \[\tan m\theta =\tan n\theta \], then the general value of \[\theta \] will be in [Pb. CET 2002]

    A) A. P.

    B) G. P.

    C) H. P.

    D) None of these

    Correct Answer: D

    Solution :

    \[\tan \theta -\sqrt{2}\sec \theta =\sqrt{3}\Rightarrow \sin \theta -\sqrt{3}\cos \theta =\sqrt{2}\] \[\Rightarrow \] \[\sin \left( \theta -\frac{\pi }{3} \right)=\sin \frac{\pi }{4}\Rightarrow \theta =n\pi +{{(-1)}^{n}}\frac{\pi }{4}+\frac{\pi }{3}\].


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