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    Question

    If tan A = 1/√3, then what will be the value of sin⁴

    A?
    A 1/16 Correct Answer Incorrect Answer
    B 1/4 Correct Answer Incorrect Answer
    C 1/2 Correct Answer Incorrect Answer
    D 1/8 Correct Answer Incorrect Answer

    Solution

    tan A = 1/√3
    ⇒ tan A = tan 30°
    ⇒ A = 30°
    ⇒ sin⁴ A = (sin 30°)⁴ = (1/2)⁴ = 1/16

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