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

  • question_answer
    If \[\tan A=\frac{1}{2},\tan B=\frac{1}{3},\]then \[\cos 2A=\] [CET 1989]

    A) \[\sin B\]

    B) \[\sin 2B\]

    C) \[\sin 3B\]

    D) None of these

    Correct Answer: B

    Solution :

    \[A+B=45{}^\circ ,\]therefore \[2A=90{}^\circ -2B\] \[\therefore \cos 2A=\sin 2B\].


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