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

  • question_answer
    If \[\tan \frac{A}{2}=\frac{3}{2},\]then \[\frac{1+\cos A}{1-\cos A}=\]

    A) \[-5\]

    B) \[5\]

    C) \[9/4\]

    D) \[4/9\]

    Correct Answer: D

    Solution :

    Given that\[\tan \frac{A}{2}=\frac{3}{2}\]. \[\frac{1+\cos A}{1-\cos A}=\frac{2{{\cos }^{2}}\frac{A}{2}}{2{{\sin }^{2}}\frac{A}{2}}={{\cot }^{2}}\frac{A}{2}={{\left( \frac{2}{3} \right)}^{2}}=\frac{4}{9}\].


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