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    Question

    If cosec A = (2/√3), then what will be the value of

    tan⁴ A?
    A 3 Correct Answer Incorrect Answer
    B 9 Correct Answer Incorrect Answer
    C 4 Correct Answer Incorrect Answer
    D 1 Correct Answer Incorrect Answer

    Solution

    cosec A = 2/√3
    ⇒ cosec A = cosec 60°
    ⇒ A = 60°
    ⇒ tan⁴ A = (tan 60°)⁴ = (√3)⁴ = 9

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