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

  • question_answer
    \[\cot (45{}^\circ +\theta )\cot (45{}^\circ -\theta )=\] [MNR 1973]

    A) -1

    B) 0

    C) 1

    D)

    Correct Answer: C

    Solution :

    \[\cot (45{}^\circ +\theta )\cot (45{}^\circ -\theta )=\tan (90{}^\circ -45{}^\circ -\theta )\cot (45{}^\circ -\theta )\] \[=\tan (45{}^\circ -\theta )\cot (45{}^\circ -\theta )=1\].


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