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JEE Main & Advanced Mathematics Trigonometric Identities Question Bank Fundamental trigonometrical ratios and functions, Trigonometrical ratio of allied angles

  • question_answer
    \[\tan A+\cot (180{}^\circ +A)+\cot (90{}^\circ +A)+\cot (360{}^\circ -A)\]     [MP PET 1992]

    A) 0

    B) \[2\tan A\]

    C) \[2\cot A\]

    D) \[2(\tan A-\cot A)\]

    Correct Answer: A

    Solution :

    \[\tan A+\cot (180{}^\circ +A)+\cot (90{}^\circ +A)+\cot (360{}^\circ -A)\] \[=\tan A+\cot A-\tan A-\cot A=0\].


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