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

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

    A) \[0\]

    B) \[1/2\]

    C) \[1\]

    D) \[\infty \]

    Correct Answer: D

    Solution :

    We have \[\cos A=\frac{\sqrt{3}}{2}\Rightarrow A={{30}^{o}}\] Þ \[\tan 3A=\tan {{90}^{o}}=\infty \].

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