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JEE Main & Advanced Mathematics Trigonometric Identities Question Bank Trigonometrical ratios of sum and difference of two and three angles

  • question_answer
    \[\tan 3A-\tan 2A-\tan A=\] [MNR 1982; Pb. CET 1991]

    A) \[\tan 3A\tan 2A\tan A\]

    B) \[-\tan 3A\tan 2A\tan A\]

    C) \[\tan A\tan 2A-\tan 2A\tan 3A-\tan 3A\tan A\]

    D) None of these

    Correct Answer: A

    Solution :

    Since \[\tan \,\,3A=\frac{\tan A+\tan 2A}{1-\tan A\,\,\tan 2A}\] \[\Rightarrow \,\,\tan \,\,3A-\tan \,\,2A-\tan A=\tan \,\,3A\,\tan \,\,2A\,\,\tan A\].


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