JEE Main & Advanced Mathematics Trigonometric Identities Question Bank Trigonometrical ratios of multiple and sub multiple angles

  • question_answer
    \[\frac{1}{\tan 3A-\tan A}-\frac{1}{\cot 3A-\cot A}=\]

    A) \[\tan A\]

    B) \[\tan 2A\]

    C) \[\cot A\]

    D) \[\cot 2A\]

    Correct Answer: D

    Solution :

    \[\frac{1}{\tan 3A-\tan A}-\frac{1}{\cot 3A-\cot A}\] =\[\frac{1}{\tan 3A-\tan A}+\frac{\tan A\tan 3A}{\tan 3A-\tan A}=\frac{1}{\tan 2A}=\cot 2A\].

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