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    Question

    If 4tan4 + 9 – 12tan2 = 0, then

    find the value of cot.
    A √(3/2) Correct Answer Incorrect Answer
    B √(3/4) Correct Answer Incorrect Answer
    C √(2/3) Correct Answer Incorrect Answer
    D √(1/2) Correct Answer Incorrect Answer

    Solution

    4tan4 + 9 – 12tan2 = 0Or, (2tan2 - 3)2 = 0Or, tan2 = 3/2Or, cot2 = 2/3So, cot = ±√(2/3)

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